pinecone/core-2020-05-10-deduplication huggingface dataset:
Supersymmetric D3/D5 for massive defects on curved space

We construct the holographic dual for $\mathcal N=4$ SYM on $\rm S^4$ and
$\rm AdS_4$ coupled to massive $\mathcal N=2$ supersymmetric quenched flavor
fields on a codimension-1 defect, which is $\rm S^3$ and $\rm AdS_3$,
respectively. The holographic description is in terms of a D3/probe D5 brane
system. We set up and reduce the BPS equations for D5-brane embeddings with
arbitrary supersymmetric deformations and partly solve them at the non-linear
level. The remaining equations are solved explicitly in a small-mass expansion.
We compute the contribution of the defect fields to the partition function on
S$^4$ and compare to a field theory computation using supersymmetric
localization, for which we set up the matrix model. Both computations agree,
lending strong support to holographic probe brane constructions using D3/D5
configurations in general.Comment: 34 pages, 1 figur
Horizon Tunneling Revisited: The Case of Higher Dimensional Black Holes

We study the tunneling of massless scalars across black hole horizons in any
number of spacetime dimensions greater than three. Our analysis finds that
corrections due to backreaction and the inverse dimensional expansion are
naturally concomitant, and furnishes a simple proof of the classic relation
between entropy and area in all spacetime dimensions, finite or infinite. We
conclude with a discussion of the limit in which the the number of spacetime
dimensions is taken to infinity, where we find that thermodynamic quantities
are related to the "thickness" of the membrane on which all the curvature is
localized.Comment: 22 page
Self-Consistent Large-$N$ Analytical Solutions of Inhomogneous
  Condensates in Quantum ${\mathbb C}P^{N-1}$ Model

We give, for the first time, self-consistent large-$N$ analytical solutions
of inhomogeneous condensates in the quantum ${\mathbb C}P^{N-1}$ model in the
large-$N$ limit. We find a map from a set of gap equations of the ${\mathbb
C}P^{N-1}$ model to those of the Gross-Neveu (GN) model (or the gap equation
and the Bogoliubov-de Gennes equation), which enables us to find the
self-consistent solutions. We find that the Higgs field of the ${\mathbb
C}P^{N-1}$ model is given as a zero mode of solutions of the GN model, and
consequently only topologically nontrivial solutions of the GN model yield
nontrivial solutions of the ${\mathbb C}P^{N-1}$ model. A stable single soliton
is constructed from an anti-kink of the GN model and has a broken (Higgs) phase
inside its core,in which ${\mathbb C}P^{N-1}$ modes are localized,with a
symmetric (confining) phase outside. We further find a stable periodic soliton
lattice constructed from a real kink crystal in the GN model,while the
Ablowitz-Kaup-Newell-Segur hierarchy yields multiple solitons at arbitrary
separations.Comment: 19 pages, 3 figures. Updates in v2: References added. v3: Published
  versio
Towards Deconstruction of the Type D (2,0) Theory

We propose a four-dimensional supersymmetric theory that deconstructs, in a
particular limit, the six-dimensional $(2,0)$ theory of type $D_k$. This 4d
theory is defined by a necklace quiver with alternating gauge nodes
$\mathrm{O}(2k)$ and $\mathrm{Sp}(k)$. We test this proposal by comparing the
6d half-BPS index to the Higgs branch Hilbert series of the 4d theory. In the
process, we overcome several technical difficulties, such as Hilbert series
calculations for non-complete intersections, and the choice of $\mathrm{O}$
versus $\mathrm{SO}$ gauge groups. Consistently, the result matches the Coulomb
branch formula for the mirror theory upon reduction to 3d
Positivity, Grassmannian Geometry and Simplex-like Structures of
  Scattering Amplitudes

This article revisits and elaborates the significant role of positive
geometry of momentum twistor Grassmannian for planar N=4 SYM scattering
amplitudes. First we establish the fundamentals of positive Grassmannian
geometry for tree amplitudes. Then we formulate this subject around these four
major facets: 1. Deriving the tree and 1-loop BCFW recursion relations solely
from positivity, after introducing the simple building blocks called positive
components. 2. Applying Grassmannian geometry and Pluecker coordinates to
determine the signs in N$^2$MHV homological identities. Most of them in fact
reflect the secret incarnation of the simple 6-term NMHV identity. 3. Deriving
the stacking positivity relation, which is powerful for parameterizing the
matrix representative in terms of positive variables, of a given Grassmannian
geometric configuration. 4. Introducing a highly refined formalism for tree
BCFW recursion relation, which reveals its two-fold simplex-like structures.
First, the BCFW contour in terms of (reduced) Grassmannian geometry
representatives is dissected into a triangle-shape sum, as only a small
fraction of the sum needs to be explicitly identified. Second, this fraction
can be further dissected, according to different growing modes and parameters.
The growing modes possess the shapes of solid simplices of various dimensions,
with which infinite number of BCFW cells can be entirely captured by the
characteristic objects called fully-spanning cells. We find that for a given k,
beyond n=4k+1 there is no more new fully-spanning cell, which signifies the
essential termination of the recursive growth of BCFW cells. As n increases
beyond the termination point, the BCFW contour simply replicates itself
according to the simplex-like patterns, which enables us to master all BCFW
cells once for all without actually identifying most of them.Comment: 100 pages, 21 figures, 3 appendices. Subsection 5.1 streamlined for
  v2. Figures improved for v3. Post-publication slight revision for v
All point correlation functions in SYK

Large $N$ melonic theories are characterized by two-point function Feynman
diagrams built exclusively out of melons. This leads to conformal invariance at
strong coupling, four-point function diagrams that are exclusively ladders, and
higher-point functions that are built out of four-point functions joined
together. We uncover an incredibly useful property of these theories: the
six-point function, or equivalently, the three-point function of the primary
$O(N)$ invariant bilinears, regarded as an analytic function of the operator
dimensions, fully determines all correlation functions, to leading nontrivial
order in $1/N$, through simple Feynman-like rules. The result is applicable to
any theory, not necessarily melonic, in which higher-point correlators are
built out of four-point functions. We explicitly calculate the bilinear
three-point function for $q$-body SYK, at any $q$. This leads to the bilinear
four-point function, as well as all higher-point functions, expressed in terms
of higher-point conformal blocks, which we discuss. We find universality of
correlators of operators of large dimension, which we simplify through a saddle
point analysis. We comment on the implications for the AdS dual of SYK.Comment: 67 pages, v
Artificial Neural Network in Cosmic Landscape

In this paper we propose that artificial neural network, the basis of machine
learning, is useful to generate the inflationary landscape from a cosmological
point of view. Traditional numerical simulations of a global cosmic landscape
typically need an exponential complexity when the number of fields is large.
However, a basic application of artificial neural network could solve the
problem based on the universal approximation theorem of the multilayer
perceptron. A toy model in inflation with multiple light fields is investigated
numerically as an example of such an application.Comment: v2, add some new content
Subleading Soft Theorem for Multiple Soft Gravitons

We derive the subleading soft graviton theorem in a generic quantum theory of
gravity for arbitrary number of soft external gravitons and arbitrary number of
finite energy external states carrying arbitrary mass and spin. Our results are
valid to all orders in perturbation theory when the number of non-compact
space-time dimensions is six or more, but only for tree amplitudes for five or
less non-compact space-time dimensions due to enhanced contribution to loop
amplitudes from the infrared region.Comment: LaTeX, 47 pages, 13 figures; v2: expanded the section on infrared
  issues, updated the section on comparison with known result
Traversable Wormholes via a Double Trace Deformation

After turning on an interaction that couples the two boundaries of an eternal
BTZ black hole, we find a quantum matter stress tensor with negative average
null energy, whose gravitational backreaction renders the Einstein-Rosen bridge
traversable. Such a traversable wormhole has an interesting interpretation in
the context of ER=EPR, which we suggest might be related to quantum
teleportation. However, it cannot be used to violate causality. We also discuss
the implications for the energy and holographic entropy in the dual CFT
description.Comment: 19 pages, 4 figures, 1 appendi
7D supersymmetric Yang-Mills on curved manifolds

We study 7D maximally supersymmetric Yang-Mills theory on curved manifolds
that admit Killing spinors. If the manifold admits at least two Killing spinors
(Sasaki-Einstein manifolds) we are able to rewrite the supersymmetric theory in
terms of a cohomological complex. In principle this cohomological complex makes
sense for any K-contact manifold. For the case of toric Sasaki-Einstein
manifolds we derive explicitly the perturbative part of the partition function
and speculate about the non-perturbative part. We also briefly discuss the case
of 3-Sasaki manifolds and suggest a plausible form for the full
non-perturbative answer.Comment: 49 pages, published versio
Learning from Higgs Physics at Future Higgs Factories

Future Higgs factories can reach impressive precision on Higgs property
measurements. In this paper, instead of conventional focus of Higgs precision
in certain interaction bases, we explored its sensitivity to new physics models
at the electron-positron colliders. In particular, we studied two categories of
new physics models, Standard Model (SM) with a real scalar singlet extension,
and Two Higgs Double Model (2HDM) as examples of weakly-interacting models,
Minimal Composite Higgs Model (MCHM) and three typical patterns of the more
general operator counting for strong interacting models as examples of strong
dynamics. We performed a global fit to various Higgs search channels to obtain
the 95% C.L. constraints on the model parameter space. In the SM with a singlet
extension, we obtained the limits on the singlet-doublet mixing angle
sin(theta), as well as the more general Wilson coefficients of the induced
higher dimensional operators. In the 2HDM, we analyzed tree level effects in
tan(beta) vs. cos(beta-alpha) plane, as well as the one-loop contributions from
the heavy Higgs bosons in the alignment limit to obtain the constraints on
heavy Higgs masses for different types of 2HDM. In strong dynamics models, we
obtained lower limits on the strong dynamics scale. In addition, once
deviations of Higgs couplings are observed, they can be used to distinguish
different models. We also compared the sensitivity of various future Higgs
factories, namely Circular Electron Positron Collider (CEPC), Future Circular
Collider (FCC)-ee and International Linear Collider (ILC).Comment: 42 page
Thermal out-of-time-order correlators, KMS relations, and spectral
  functions

We describe general features of thermal correlation functions in quantum
systems, with specific focus on the fluctuation-dissipation type relations
implied by the KMS condition. These end up relating correlation functions with
different time ordering and thus should naturally be viewed in the larger
context of out-of-time-ordered (OTO) observables. In particular, eschewing the
standard formulation of KMS relations where thermal periodicity is combined
with time-reversal to stay within the purview of Schwinger-Keldysh functional
integrals, we show that there is a natural way to phrase them directly in terms
of OTO correlators. We use these observations to construct a natural causal
basis for thermal n-point functions in terms of fully nested commutators. We
provide several general results which can be inferred from cyclic orbits of
permutations, and exemplify the abstract results using a quantum oscillator as
an explicit example.Comment: 36 pages + appendices. v2: minor changes + refs added. v3: minor
  changes, published versio
Gravitational S-matrix from CFT dispersion relations

We analyse the double-discontinuities of the four-point correlator of the
stress-tensor multiplet in N=4 SYM at large t' Hooft coupling and at order
$1/N^4$, as a way to access one-loop effects in the dual supergravity theory.
From these singularities we extract CFT-data by using two inversion procedures:
one based on a recently proposed Froissart-Gribov inversion integral, and the
other based on large spin perturbation theory. Both procedures lead to the same
results and are shown to be equivalent more generally. Our computation
parallels the standard S-matrix reconstruction via dispersion relations. In a
suitable limit, the result of the conformal field theory calculation is
compared with the one-loop graviton scattering amplitude in ten-dimensional IIB
supergravity in flat space, finding perfect agreement.Comment: 39 pages, pretty figure
Factoring the Strong CP Problem

We present a new mechanism to solve the strong CP problem using $N\geq2$
axions, each dynamically relaxing part of the $\bar\theta$ parameter. At high
energies $M\gg\Lambda_{QCD}$ the $SU(3)_{c}$ group becomes the diagonal
subgroup of an $SU(3)^{N}$ gauge group, and the non-perturbative effects in
each individual $SU(3)$ factor generate a potential for the corresponding
axion. The vacuum is naturally aligned to ensure $\bar\theta=0$ at low
energies, and the masses of these axions can be much larger than for the
standard QCD axion. This mechanism avoids the introduction of a discrete $Z_2$
symmetry and associated 'mirror' copies of the SM fermions, and also avoids the
introduction and stabilization of new light colored states to modify the
running of the QCD gauge coupling found in other heavy axion models. This
strengthens the motivation for axion-like particles solving the strong CP
problem at points beyond the standard QCD axion curve in the $(m_a, f_a)$
plane.Comment: 14 pages, 5 figure
Holographic discommensurations

When the system with internal tendency to a spontaneous formation of a
spatially periodic state is brought in contact with the external explicit
periodic potential, the interesting phenomenon of commensurate lock in can be
observed. In case when the explicit potential is strong enough and its period
is close to the period of the spontaneous structure, the latter is forced to
assume the periodicity of the former and the commensurate state becomes a
thermodynamically preferred one. If instead the two periods are significantly
different, the incommensurate state is formed. It is characterized by a finite
density of solitonic objects -- discommensurations -- on top of the
commensurate state. In this note I study the properties of discommensurations
in holographic model with inhomogeneous translational symmetry breaking and
explain how one can understand the commensurate/incommensurate phase transition
as a proliferation of these solitons. Some useful numerical techniques are
discussed in the Appendix.Comment: 22 pages, 9 figures. v2: misprints corrected, reverences adde
A Flavorful Factoring of the Strong CP Problem

Motivated by the intimate connection between the strong CP problem and the
flavor structure of the Standard Model, we present a flavor model that revives
and extends the classic ${m_u=0}$ solution to the strong CP problem. QCD is
embedded into a $SU(3)_1\times SU(3)_2 \times SU(3)_3$ gauge group, with each
generation of quarks charged under the respective $SU(3)$. The non-zero value
of the up-quark Yukawa coupling (along with the strange quark and bottom-quark
Yukawas) is generated by contributions from small instantons at a new scale $M
\gg \Lambda_{QCD}$. The Higgsing of $SU(3)^3\to SU(3)_c$ allows dimension-5
operators that generate the Standard Model flavor structure and can be
completed in a simple renormalizable theory. The smallness of the third
generation mixing angles can naturally emerge in this picture, and is connected
to the smallness of threshold corrections to $\bar\theta$. Remarkably,
$\bar\theta$ is essentially fixed by the measured quark masses and mixings, and
is estimated to be close to the current experimental bound and well within
reach of the next generation of neutron and proton EDM experiments.Comment: 15 pages, 6 figure
Search for new phenomena in events with same-charge leptons and b-jets in pp collisions at s√=13 TeV with the ATLAS detector

A search for new phenomena in events with two same-charge leptons or three leptons and jets identified as originating from b-quarks in a data sample of 36.1 fb−1 of pp collisions at s√=13 TeV recorded by the ATLAS detector at the Large Hadron Collider is reported. No significant excess is found and limits are set on vector-like quark, four-top-quark, and same-sign top-quark pair production. The observed (expected) 95% CL mass limits for a vector-like T- and B-quark singlet are mT > 0.98 (0.99) TeV and mB > 1.00 (1.01) TeV respectively. Limits on the production of the vector-like T5/3-quark are also derived considering both pair and single production; in the former case the lower limit on the mass of the T5/3-quark is (expected to be) 1.19 (1.21) TeV. The Standard Model four-top-quark production cross-section upper limit is (expected to be) 69 (29) fb. Constraints are also set on exotic four-top-quark production models. Finally, limits are set on same-sign top-quark pair production. The upper limit on uu → tt production is (expected to be) 89 (59) fb for a mediator mass of 1 TeV, and a dark-matter interpretation is also derived, excluding a mediator of 3 TeV with a dark-sector coupling of 1.0 and a coupling to ordinary matter above 0.31
All Killing Superalgebras for Warped AdS Backgrounds

We present all the symmetry superalgebras $\mathfrak{g}$ of all warped
AdS$_k\times_w M^{d-k}$, $k>2$, flux backgrounds in $d=10, 11$ dimensions
preserving any number of supersymmetries. First we give the conditions for
$\mathfrak{g}$ to decompose into a direct sum of the isometry algebra of
AdS$_k$ and that of the internal space $M^{d-k}$. Assuming this decomposition,
we identify all symmetry superalgebras of AdS$_3$ backgrounds by showing that
the isometry groups of internal spaces act transitively on spheres. We
demonstrate that in type II and $d=11$ theories the AdS$_3$ symmetry
superalgebras may not be simple and also present all symmetry superalgebras of
heterotic AdS$_3$ backgrounds. Furthermore, we explicitly give the symmetry
superalgebras of AdS$_k$, $k>3$, backgrounds and prove that they are all
classical.Comment: 41 pages, late
Holographic compact stars meet gravitational wave constraints

We investigate a simple holographic model for cold and dense deconfined QCD
matter consisting of three quark flavors. Varying the single free parameter of
the model and utilizing a Chiral Effective Theory equation of state (EoS) for
nuclear matter, we find four different compact star solutions: traditional
neutron stars, strange quark stars, as well as two non-standard solutions we
refer to as hybrid stars of the second and third kind (HS2 and HS3). The HS2s
are composed of a nuclear matter core and a crust made of stable strange quark
matter, while the HS3s have both a quark mantle and a nuclear crust on top of a
nuclear matter core. For all types of stars constructed, we determine not only
their mass-radius relations, but also tidal deformabilities, Love numbers, as
well as moments of inertia and the mass distribution. We find that there exists
a range of parameter values in our model, for which the novel hybrid stars have
properties in very good agreement with all existing bounds on the stationary
properties of compact stars. In particular, the tidal deformabilities of these
solutions are smaller than those of ordinary neutron stars of the same mass,
implying that they provide an excellent fit to the recent gravitational wave
data GW170817 of LIGO and Virgo. The assumptions underlying the viability of
the different star types, in particular those corresponding to absolutely
stable quark matter, are finally discussed at some length.Comment: 34 pages, 6 figures; v3: version accepted for publication at JHE
A supersymmetric exotic field theory in (1+1) dimensions. One loop
  soliton quantum mass corrections

We consider one loop quantum corrections to soliton mass for the ${\cal N}=1$
supersymmetric extension of the (1+1)-dimensional scalar field theory with the
potential $U(\phi) = \phi^2 \cos^2\left(\ln \phi^2\right)$. First, we compute
the one loop quantum soliton mass correction of the bosonic sector. To do that,
we regularize implicitly such quantity by subtracting and adding its
corresponding tadpole graph contribution, and use the renormalization
prescription that the added term vanishes with the corresponding counterterms.
As a result we get a finite unambiguous formula for the soliton quantum mass
corrections up to one loop order. Afterwards, the computation for the
supersymmetric case is extended straightforwardly and we obtain for the one
loop quantum correction of the SUSY kink mass the expected value previously
derived for the SUSY sine-Gordon and $\phi^4$ models. However, we also have
found that for a particular value of the parameters, contrary to what was
expected, the introduction of supersymmetry in this model worsens ultraviolet
divergences rather than improving them.Comment: 16 pages, 8 figures; Major modifications included to match version
  published in JHE
Resummed transverse momentum distribution of pseudo-scalar Higgs boson at NNLOA+NNLL

In this article we have studied the transverse momentum distribution of the pseudo-scalar Higgs boson at the Large Hadron Collider (LHC). The small pT region which provides the bulk of the cross section is not accessible to fixed order perturbation theory due to the presence of large logarithms in the series. Using the universal infrared behaviour of the QCD we resum these large logarithms up to next-to-next-to-leading logarithmic (NNLL) accuracy. We observe a significant reduction in theoretical uncertainties due to the unphysical scales at NNLL level compared to the previous order. We present the pT distribution matched to NNLOA+NNLL, valid for the whole pT region and provide a detailed phenomenological study in the context of both 14 TeV and 13 TeV LHC using different choices of masses, scales and parton distribution functions which will be useful for the search of such particle at the LHC in near future
Assessing perturbativity and vacuum stability in high-scale leptogenesis.

We consider the requirements that all coupling constants remain perturbative\ud
and the electroweak vacuum metastable up to the Planck scale in high-scale thermal leptogenesis, in the context of a type-I seesaw mechanism. We find a large region of the model\ud
parameter space that satisfies these conditions in combination with producing the baryon\ud
asymmetry of the Universe. We demonstrate these conditions require Tr[Y\ud
†\ud
N\ud
YN ] . 0.66 on\ud
the neutrino Yukawa matrix. We also investigate this scenario in the presence of a large\ud
number NF of coloured Majorana octet fermions in order to make quantum chromodynamics asymptotically safe in the ultraviolet