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1912.13504 | Zheyan Wan | Zheyan Wan, Juven Wang, Yunqin Zheng | Higher Anomalies, Higher Symmetries, and Cobordisms II: Lorentz Symmetry
Extension and Enriched Bosonic/Fermionic Quantum Gauge Theory | Sequel to: arXiv:1711.11587, arXiv:1812.11967, arXiv:1904.00994
arXiv:1910.14668, arXiv:1912.13514. Accepted by Annals of Mathematical
Sciences and Applications, Vol. 5, No. 2 (2020) | Annals of Mathematical Sciences and Applications, Vol. 5, No. 2,
171-257 (2020) | 10.4310/AMSA.2020.v5.n2.a2 | null | hep-th cond-mat.str-el hep-ph math.AT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We systematically study Lorentz symmetry extensions in quantum field theories
(QFTs) and their 't Hooft anomalies via cobordism. The total symmetry $G'$ can
be expressed in terms of the extension of Lorentz symmetry $G_L$ by an internal
global symmetry $G$ as $1 \to G \to G' \to G_L \to 1$. By enumerating all
possible $G_L$ and symmetry extensions, other than the familiar
SO/Spin/O/Pin$^{\pm}$ groups, we introduce a new EPin group (in contrast to
DPin), and provide natural physical interpretations to exotic groups E($d$),
EPin($d$), (SU(2)$\times$E(d))/$\mathbb{Z}_2$,
(SU(2)$\times$EPin(d))/$\mathbb{Z}_2^{\pm}$, etc. By Adams spectral sequence,
we systematically classify all possible $d$d Symmetry Protected Topological
states (SPTs as invertible TQFTs) and $(d-1)$d 't Hooft anomalies of QFTs by
co/bordism groups and invariants in $d\leq 5$. We further gauge the internal
$G$, and study Lorentz symmetry-enriched Yang-Mills theory with discrete theta
terms given by gauged SPTs. We not only enlist familiar bosonic Yang-Mills but
also discover new fermionic Yang-Mills theories (when $G_L$ contains a graded
fermion parity $\mathbb{Z}_2^F$), applicable to bosonic (e.g., Quantum Spin
Liquids) or fermionic (e.g., electrons) condensed matter systems. For a pure
gauge theory, there is a one form symmetry $I_{[1]}$ associated with the center
of the gauge group $G$. We further study the anomalies of the emergent symmetry
$I_{[1]}\times G_L$ by higher cobordism invariants as well as QFT analysis. We
focus on the simply connected $G=$SU(2) and briefly comment on non-simply
connected $G=$SO(3), U(1), other simple Lie groups, and Standard Model gauge
groups (SU(3)$\times$SU(2)$\times$U(1))/$\mathbb{Z}_q$. We comment on SPTs
protected by Lorentz symmetry, and the symmetry-extended trivialization for
their boundary states.
| [
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"created": "Tue, 31 Dec 2019 18:53:02 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Sep 2020 17:00:02 GMT",
"version": "v2"
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] | 2020-10-14 | [
[
"Wan",
"Zheyan",
""
],
[
"Wang",
"Juven",
""
],
[
"Zheng",
"Yunqin",
""
]
] | 19 | [
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] | 1,225,400 |
1912.13505 | Jing-Ren Zhou | Jing-Ren Zhou and Qing-Rui Wang and Chenjie Wang and Zheng-Cheng Gu | Non-Abelian Three-Loop Braiding Statistics for 3D Fermionic Topological
Phases | 36 pages, 8 figures, all comments and suggestions are very welcome | Nat Commun 12, 3191 (2021) | 10.1038/s41467-021-23309-3 | null | cond-mat.str-el hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Fractional statistics is one of the most intriguing features of topological
phases in 2D. In particular, the so-called non-Abelian statistics plays a
crucial role towards realizing universal topological quantum computation.
Recently, the study of topological phases has been extended to 3D and it has
been proposed that loop-like extensive objects can also carry fractional
statistics. In this work, we systematically study the so-called three-loop
braiding statistics for loop-like excitations for 3D fermionic topological
phases. Most surprisingly, we discovered new types of non-Abelian three-loop
braiding statistics that can only be realized in fermionic systems (or
equivalently bosonic systems with fermionic particles). The simplest example of
such non-Abelian braiding statistics can be realized in interacting fermionic
systems with a gauge group $\mathbb{Z}_2 \times \mathbb{Z}_8$ or $\mathbb{Z}_4
\times \mathbb{Z}_4$, and the physical origin of non-Abelian statistics can be
viewed as attaching an open Majorana chain onto a pair of linked loops, which
will naturally reduce to the well known Ising non-Abelian statistics via the
standard dimension reduction scheme. Moreover, due to the correspondence
between gauge theories with fermionic particles and classifying fermionic
symmetry-protected topological (FSPT) phases with unitary symmetries, our study
also give rise to an alternative way to classify FSPT phases with unitary
symmetries. We further compare the classification results for FSPT phases with
arbitrary Abelian total symmetry $G^f$ and find systematical agreement with
previous studies using other methods. We believe that the proposed framework of
understanding three-loop braiding statistics (including both Abelian and
non-Abelian cases) in interacting fermion systems applies for generic fermonic
topological phases in 3D.
| [
{
"created": "Tue, 31 Dec 2019 18:53:27 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Dec 2023 04:49:36 GMT",
"version": "v2"
}
] | 2023-12-29 | [
[
"Zhou",
"Jing-Ren",
""
],
[
"Wang",
"Qing-Rui",
""
],
[
"Wang",
"Chenjie",
""
],
[
"Gu",
"Zheng-Cheng",
""
]
] | 19 | [
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] | 1,225,401 |
1912.13506 | Hitesh Gowda Bettaswamy Gowda | Hitesh Gowda Bettaswamy Gowda and Ulrike Wallrabe | Integrated Sensor System to Control the Temperature Effects and the
Hysteresis on Adaptive Fluid-Membrane Piezoelectric Lenses | The article is submitted to International Symposium on
Optomechatronic Technologies - ISOT 2019 conference, Goa, India | null | null | null | physics.app-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present in this paper an integrated sensor system for closed-loop control
of the temperature effects and the hysteresis on the refractive power of an
adaptive fluid-membrane piezoelectric lens. The piezoelectric hysteresis and
the fluid thermal expansion contribute to a nonlinear response of the lens
refractive power defined as a function of the actuation electric field. Hence,
a pressure sensor and a temperature sensor are integrated inside the lens to
monitor and define the lens refractive power as a function of both the internal
fluid pressure and the temperature, thus, allowing for the closed-loop control
of the refractive power. The adaptive lens has a refractive power range varying
from -16 m-1 to +17 m-1 at 25{\deg}C and from -15 m-1 to +28 m 1 at 75{\deg}C.
| [
{
"created": "Fri, 20 Dec 2019 12:47:47 GMT",
"version": "v1"
}
] | 2020-01-01 | [
[
"Gowda",
"Hitesh Gowda Bettaswamy",
""
],
[
"Wallrabe",
"Ulrike",
""
]
] | 19 | [
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] | 1,225,402 |
1912.13507 | Jusak Tandean | Jhih-Ying Su, Jusak Tandean | Exploring leptoquark effects in hyperon and kaon decays with missing
energy | 17 pages, no figure, expanded, matches publication | Phys. Rev. D 102, 075032 (2020) | 10.1103/PhysRevD.102.075032 | NCTS-PH/1909 | hep-ph hep-ex | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We entertain the possibility that scalar leptoquarks (LQs) generate
consequential effects on the strangeness-changing decays of hyperons and kaons
involving missing energy carried away by a pair of invisible fermions. Although
such processes have suppressed rates in the standard model (SM), they could get
significant enhancement in the presence of the LQs. In order to respect the
available data on the kaon modes $K\to\pi\nu\bar\nu$ and increase the rates of
the hyperon decays substantially at the same time, two different scalar LQs are
needed. If the LQs have Yukawa couplings solely to SM fermions, we find that
the hyperon rates cannot attain values within the reach of ongoing or
near-future experiments because of the combined constraints from the
measurements on kaon mixing and lepton-flavor-violating processes. However, if
we include light right-handed neutrinos in the LQ interactions, their
contributions can evade the leading restrictions and translate into hyperon
rates which may be big enough to be probed by upcoming searches. Thus, these
hyperon modes could provide a new avenue for seeking sterile neutrinos.
| [
{
"created": "Tue, 31 Dec 2019 18:54:37 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Jan 2020 16:08:47 GMT",
"version": "v2"
},
{
"created": "Wed, 28 Oct 2020 16:11:29 GMT",
"version": "v3"
}
] | 2020-10-29 | [
[
"Su",
"Jhih-Ying",
""
],
[
"Tandean",
"Jusak",
""
]
] | 19 | [
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] | 1,225,403 |
1912.13508 | Shehu AbdusSalam | S.S. AbdusSalam, M.Z. Abyaneh, F. Ghelichkhani, M. Noormandipour | Majorana phases in high-scale mixings unification hypotheses | v2: major changes were made | International Journal of Modern Physics A Vol. 36, No. 13 (2021)
2150077 (17 pages) | 10.1142/S0217751X21500779 | null | hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For addressing the remarkable difference between neutrino and quark mixings,
high-scale mixings relations (HSMR) or unification (HSMU) hypothe\ ses were
proposed. These phenomenology frameworks have been explored with respect to
bounds from neutrino oscillations and relevant cosmologic\ al data. However
there are caveats with regards to assessing the hypotheses' compatibility with
data in a statistically robust and convergent \ manner because most analysis
employ a few sample of points in model parameters' space. A remedy could be
achieved by using Bayesian algorithms\
for the parameters' space exploration. Using this approach, we made global
fits of the HSMU and HSMR models to data and find compatible param\ eter
regions, including for Majorana phases. The posterior samples could be used for
studying correlations between neutrino observables and pr\ ospects for updates
of related experiments.
| [
{
"created": "Tue, 31 Dec 2019 18:55:28 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jun 2021 13:58:28 GMT",
"version": "v2"
}
] | 2021-06-15 | [
[
"AbdusSalam",
"S. S.",
""
],
[
"Abyaneh",
"M. Z.",
""
],
[
"Ghelichkhani",
"F.",
""
],
[
"Noormandipour",
"M.",
""
]
] | 19 | [
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1912.13509 | Sichun Sun | Sichun Sun, Yun-Long Zhang | Notes on the Quantum Corrections of Swampland and Trans-Planckian
Censorship Conjecture | 5 pages. v2 with updated discussion, published version | Phys.Lett. B 816 (2021) 136245 | 10.1016/j.physletb.2021.136245 | YITP-19-128 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the de Sitter swampland and trans-Planckian censorship conjectures
(TCC) from the entropy bound with quantum corrections, namely quantum version
of Bousso bound and energy conditions. We include the typical contributions
from the entanglement entropy in quasi-de Sitter spacetime. The TCC is not much
corrected, whereas the bounds on de Sitter swampland conjecture from energy
conditions can be relaxed due to quantum corrections.
| [
{
"created": "Tue, 31 Dec 2019 18:56:23 GMT",
"version": "v1"
},
{
"created": "Sat, 27 Mar 2021 22:51:56 GMT",
"version": "v2"
}
] | 2021-04-01 | [
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""
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] | 1,225,405 |
1912.13510 | Sheel Ganatra | Sheel Ganatra | Cyclic homology, $S^1$-equivariant Floer cohomology, and Calabi-Yau
structures | 84 pages, 18 figures. Final version to appear in Geometry and
Topology | Geom. Topol. 27 (2023) 3461-3584 | 10.2140/gt.2023.27.3461 | null | math.SG math.KT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct geometric maps from the cyclic homology groups of the (compact
or wrapped) Fukaya category to the corresponding $S^1$-equivariant
(Floer/quantum or symplectic) cohomology groups, which are natural with respect
to all Gysin and periodicity exact sequences and are isomorphisms whenever the
(non-equivariant) open-closed map is. These {\em cyclic open-closed maps} give
(a) constructions of geometric smooth and/or proper Calabi-Yau structures on
Fukaya categories (which in the proper case implies the Fukaya category has a
cyclic A-infinity model in characteristic 0) and (b) a purely symplectic proof
of the non-commutative Hodge-de Rham degeneration conjecture for smooth and
proper subcategories of Fukaya categories of compact symplectic manifolds.
Further applications of cyclic open-closed maps, to counting curves in mirror
symmetry and to comparing topological field theories, are the subject of joint
projects with Perutz-Sheridan [GPS1, GPS2] and Cohen [CG].
| [
{
"created": "Tue, 31 Dec 2019 18:56:55 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Jan 2022 04:37:48 GMT",
"version": "v2"
}
] | 2023-12-13 | [
[
"Ganatra",
"Sheel",
""
]
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] | 1,225,406 |
1912.13511 | Thomas Strobl | Noriaki Ikeda and Thomas Strobl | BV and BFV for the H-twisted Poisson sigma model | 53+1 pages. Version to be published in "Annales Henri Poincar\'e" | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the BFV and the BV extension of the Poisson sigma model (PSM)
twisted by a closed 3-form H. There exist superfield versions of these
functionals such as for the PSM and, more generally, for the AKSZ sigma models.
However, in contrast to those theories, here they depend on the Euler vector
field of the source manifold and contain terms mixing data from the source and
the target manifold.
Using an auxiliary connection $\nabla$ on the target manifold M, we obtain
alternative, purely geometrical expressions without the use of superfields,
which are new also for the ordinary PSM and promise straightforward adaptations
to other Lie algebroid based gauge theories: The BV functional, in particular,
is the sum of the classical action, the Hamiltonian lift of the (only
on-shell-nilpotent) BRST differential, and a term quadratic in the antifields
which is essentially the basic curvature and measures the compatibility of
$\nabla$ with the Lie algebroid structure on T*M. We finally construct a
Diff(M)-equivariant isomorphism between the two BV formulations.
| [
{
"created": "Tue, 31 Dec 2019 18:57:55 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Mar 2020 15:35:13 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Dec 2020 22:02:26 GMT",
"version": "v3"
}
] | 2020-12-11 | [
[
"Ikeda",
"Noriaki",
""
],
[
"Strobl",
"Thomas",
""
]
] | 19 | [
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] | 1,225,407 |
1912.13512 | Elad Aigner-Horev | Elad Aigner-Horev, Oran Danon, Dan Hefetz, Shoham Letzter | Large rainbow cliques in randomly perturbed dense graphs | This is the journal version | null | null | null | math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For two graphs $G$ and $H$, write $G \stackrel{\mathrm{rbw}}{\longrightarrow}
H$ if $G$ has the property that every {\sl proper} colouring of its edges
yields a {\sl rainbow} copy of $H$.
We study the thresholds for such so-called {\sl anti-Ramsey} properties in
randomly perturbed dense graphs, which are unions of the form $G \cup
\mathbb{G}(n,p)$, where $G$ is an $n$-vertex graph with edge-density at least
$d$, and $d$ is a constant that does not depend on $n$.
Our results in this paper, combined with our results in a companion paper,
determine the threshold for the property $G \cup \mathbb{G}(n,p)
\stackrel{\mathrm{rbw}}{\longrightarrow} K_s$ for every $s$. In this paper, we
show that for $s \geq 9$ the threshold is $n^{-1/m_2(K_{\left\lceil s/2
\right\rceil})}$; in fact, our $1$-statement is a supersaturation result. This
turns out to (almost) be the threshold for $s=8$ as well, but for every $4 \leq
s \leq 7$, the threshold is lower; see our companion paper for more details.
In this paper, we also consider the property $G \cup \mathbb{G}(n,p)
\stackrel{\mathrm{rbw}}{\longrightarrow} C_{2\ell - 1}$, and show that the
threshold for this property is $n^{-2}$ for every $\ell \geq 2$; in particular,
it does not depend on the length of the cycle $C_{2\ell - 1}$. It is worth
mentioning that for even cycles, or more generally for any fixed bipartite
graph, no random edges are needed at all.
| [
{
"created": "Tue, 31 Dec 2019 18:58:09 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jan 2020 03:37:35 GMT",
"version": "v2"
},
{
"created": "Wed, 22 Apr 2020 15:38:40 GMT",
"version": "v3"
},
{
"created": "Thu, 23 Apr 2020 07:48:55 GMT",
"version": "v4"
},
{
"created": "Fri, 3 Jul 2020 19:09:50 GMT",
"version": "v5"
},
{
"created": "Sun, 23 May 2021 13:47:34 GMT",
"version": "v6"
},
{
"created": "Fri, 15 Jul 2022 05:12:41 GMT",
"version": "v7"
}
] | 2022-07-18 | [
[
"Aigner-Horev",
"Elad",
""
],
[
"Danon",
"Oran",
""
],
[
"Hefetz",
"Dan",
""
],
[
"Letzter",
"Shoham",
""
]
] | 19 | [
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] | 1,225,408 |
1912.13513 | Nicholas Early | Nick Early | Planar kinematic invariants, matroid subdivisions and generalized
Feynman diagrams | 26 pages, 6 figures; v2: attached Mathematica notebook | null | null | null | hep-th math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In recent work of Cachazo, Guevara, Mizera and the author, a generalization
of the biadjoint scattering amplitude $m^{(k)}(\mathbb{I}_n,\mathbb{I}_n)$ was
introduced as an integral over the moduli space of $n$ points in
$\mathbb{CP}^{k-1}$, with value a sum of certain rational functions on the
kinematic space $\mathcal{K}_{k,n}$. It was shown there for
$m^{(3)}(\mathbb{I}_6,\mathbb{I}_6)$ and later by Cachazo and Rojas that
collections of poles appearing in $m^{(3)}(\mathbb{I}_7,\mathbb{I}_7)$ are
compatible exactly when they are dual to collections of rays which generate the
maximal faces of a polyhedral complex known as the (nonnegative) tropical
Grassmannian.
In this note, we derive a remarkable planar basis for the space of
generalized kinematic invariants which coincides in the case $k=2$ with usual
standard planar multi-particle basis for the kinematic space. We implement in
Mathematica the action on formal linear combinations of planar matroid
subdivisions of a boundary operator which, together with the planar basis,
determines compatibility for any given poles appearing in the expansion of
$m^{(k)}(\mathbb{I}_n,\mathbb{I}_n)$, by computing a certain combinatorial
non-crossing condition on the second hypersimplicial faces $\Delta_{2,n-(k-2)}$
of $\Delta_{k,n}$. The algorithms are implemented in an accompanying
Mathematica notebook and are evaluated on existing tables of rays, in the form
of tropical Plucker vectors, to tabulate the finest planar subdivisions of
$\Delta_{3,8},\Delta_{3,9}$ and $ \Delta_{4,8}$, or equivalently the set of
maximal cones for the corresponding nonnegative tropical Grassmannians.
| [
{
"created": "Tue, 31 Dec 2019 18:58:09 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Jan 2020 05:42:40 GMT",
"version": "v2"
}
] | 2020-01-03 | [
[
"Early",
"Nick",
""
]
] | 19 | [
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] | 1,225,409 |
1912.13514 | Juven C. Wang | Zheyan Wan and Juven Wang | Higher Anomalies, Higher Symmetries, and Cobordisms III: QCD Matter
Phases Anew | Sequel to: arXiv:1711.11587, arXiv:1812.11967 and arXiv:1910.14668 | Nuclear Physics B 957, 115016 (2020) | 10.1016/j.nuclphysb.2020.115016 | null | hep-th cond-mat.supr-con hep-ph math.AT nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore QCD$_4$ quark matter, the $\mu$-T (chemical potential-temperature)
phase diagram, possible 't Hooft anomalies, and topological terms, via
non-perturbative tools of cobordism theory and higher anomaly matching. We
focus on quarks in 3-color and 3-flavor on bi-fundamentals of SU(3), then
analyze the continuous and discrete global symmetries and pay careful attention
to finite group sectors. We input constraints from $T=CP$ or $CT$ time-reversal
symmetries, implementing QCD on unorientable spacetimes and distinct topology.
Examined phases include the high T QGP (quark-gluon plasma/liquid), the low T
ChSB (chiral symmetry breaking), 2SC (2-color superconductivity) and CFL
(3-color-flavor locking superconductivity) at high density. We introduce a
possibly useful but only approximate higher anomaly, involving discrete 0-form
axial and 1-form mixed chiral-flavor-locked center symmetries, matched by the
above four QCD phases. We also enlist as much as possible, but without
identifying all of, 't Hooft anomalies and topological terms relevant to
Symmetry Protected/Enriched Topological states (SPTs/SETs) of gauged SU(2) or
SU(3) QCD$_d$-like matter theories in general in any spacetime dimensions
$d=2,3,4,5$ via cobordism.
| [
{
"created": "Tue, 31 Dec 2019 18:59:00 GMT",
"version": "v1"
}
] | 2020-07-30 | [
[
"Wan",
"Zheyan",
""
],
[
"Wang",
"Juven",
""
]
] | 19 | [
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] | 1,225,410 |
1912.13515 | Huizhuo Yuan | Huizhuo Yuan, Xiangru Lian, Ji Liu | Stochastic Recursive Variance Reduction for Efficient Smooth Non-Convex
Compositional Optimization | null | null | null | null | stat.ML cs.LG math.OC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Stochastic compositional optimization arises in many important machine
learning tasks such as value function evaluation in reinforcement learning and
portfolio management. The objective function is the composition of two
expectations of stochastic functions, and is more challenging to optimize than
vanilla stochastic optimization problems. In this paper, we investigate the
stochastic compositional optimization in the general smooth non-convex setting.
We employ a recently developed idea of \textit{Stochastic Recursive Gradient
Descent} to design a novel algorithm named SARAH-Compositional, and prove a
sharp Incremental First-order Oracle (IFO) complexity upper bound for
stochastic compositional optimization: $\mathcal{O}((n+m)^{1/2}
\varepsilon^{-2})$ in the finite-sum case and $\mathcal{O}(\varepsilon^{-3})$
in the online case. Such a complexity is known to be the best one among IFO
complexity results for non-convex stochastic compositional optimization, and is
believed to be optimal. Our experiments validate the theoretical performance of
our algorithm.
| [
{
"created": "Tue, 31 Dec 2019 18:59:13 GMT",
"version": "v1"
},
{
"created": "Sat, 25 Jan 2020 10:52:11 GMT",
"version": "v2"
}
] | 2020-01-28 | [
[
"Yuan",
"Huizhuo",
""
],
[
"Lian",
"Xiangru",
""
],
[
"Liu",
"Ji",
""
]
] | 19 | [
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] | 1,225,411 |
1912.13516 | Carlos Nunez | Anton F. Faedo, Carlos Nunez and Christopher Rosen | Consistent truncations of supergravity and $\frac{1}{2}$-BPS RG flows in
$4d$ SCFTs | 28 pages plus appendixes. JHEP version | null | 10.1007/JHEP03(2020)080 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | With the purpose of holographically describing flows from a large family of
four dimensional ${\cal N}=1$ and ${\cal N}=2$ conformal field theories, we
discuss truncations of seven dimensional supergravity to five dimensions. We
write explicitly the reduced gauged supergravity and find BPS equations for
simple configurations. Lifting these flows to eleven dimensions or Massive IIA
supergravity, we present string duals to RG flows from strongly coupled
conformal theories when deformed by marginal and/or relevant operators. We
further discuss observables common to infinite families of ${\cal N}=1$ and
${\cal N}=2$ QFTs in this context.
| [
{
"created": "Tue, 31 Dec 2019 18:59:28 GMT",
"version": "v1"
},
{
"created": "Sat, 14 Mar 2020 08:37:49 GMT",
"version": "v2"
}
] | 2020-04-22 | [
[
"Faedo",
"Anton F.",
""
],
[
"Nunez",
"Carlos",
""
],
[
"Rosen",
"Christopher",
""
]
] | 19 | [
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] | 1,225,412 |
1912.13517 | Man Leong Chan | Man Leong Chan, Ik Siong Heng and Chris Messenger | Detection and Classification of Supernova Gravitational Waves Signals: A
Deep Learning Approach | null | Phys. Rev. D 102, 043022 (2020) | 10.1103/PhysRevD.102.043022 | null | astro-ph.HE astro-ph.IM | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We demonstrate the application of a convolutional neural network to the
gravitational wave signals from core collapse supernovae. Using simulated time
series of gravitational wave detectors, we show that based on the explosion
mechanisms, a convolutional neural network can be used to detect and classify
the gravitational wave signals buried in noise. For the waveforms used in the
training of the convolutional neural network, our results suggest that a
network of advanced LIGO, advanced VIRGO and KAGRA, or a network of LIGO A+,
advanced VIRGO and KAGRA is likely to detect a magnetorotational core collapse
supernovae within the Large and Small Magellanic Clouds, or a Galactic event if
the explosion mechanism is the neutrino-driven mechanism. By testing the
convolutional neural network with waveforms not used for training, we show that
the true alarm probabilities are 52% and 83% at 60 kpc for waveforms R3E1AC and
R4E1FC L. For waveforms s20 and SFHx at 10 kpc, the true alarm probabilities
are 70% and 93% respectively. All at false alarm probability equal to 10%.
| [
{
"created": "Tue, 31 Dec 2019 18:59:54 GMT",
"version": "v1"
}
] | 2020-09-02 | [
[
"Chan",
"Man Leong",
""
],
[
"Heng",
"Ik Siong",
""
],
[
"Messenger",
"Chris",
""
]
] | 19 | [
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