pinecone/core-2020-05-10-deduplication huggingface dataset:
Exact Quantization Conditions, Toric Calabi-Yau and Nonperturbative
  Topological String

We establish the precise relation between the Nekrasov-Shatashvili (NS)
quantization scheme and Grassi-Hatsuda-Marino conjecture for the mirror curve
of arbitrary toric Calabi-Yau threefold. For a mirror curve of genus $g$, the
NS quantization scheme leads to $g$ quantization conditions for the
corresponding integrable system. The exact NS quantization conditions enjoy a
self S-duality with respect to Planck constant $\hbar$ and can be derived from
the Lockhart-Vafa partition function of nonperturbative topological string.
Based on a recent observation on the correspondence between spectral theory and
topological string, another quantization scheme was proposed by
Grassi-Hatsuda-Marino, in which there is a single quantization condition and
the spectra are encoded in the vanishing of a quantum Riemann theta function.
We demonstrate that there actually exist at least $g$ nonequivalent quantum
Riemann theta functions and the intersections of their theta divisors coincide
with the spectra determined by the exact NS quantization conditions. This
highly nontrivial coincidence between the two quantization schemes requires
infinite constraints among the refined Gopakumar-Vafa invariants. The
equivalence for mirror curves of genus one has been verified for some local del
Pezzo surfaces. In this paper, we generalize the correspondence to higher
genus, and analyze in detail the resolved $\mathbb{C}^3/\mathbb{Z}_5$ orbifold
and several $SU(N)$ geometries. We also give a proof for some models at
$\hbar=2\pi/k$.Comment: 91 pages, 14 figures, v2: journal version, some small correction
Complexity of Formation in Holography

It was recently conjectured that the quantum complexity of a holographic
boundary state can be computed by evaluating the gravitational action on a bulk
region known as the Wheeler-DeWitt patch. We apply this complexity=action
duality to evaluate the `complexity of formation' (arXiv:1509.07876,
arXiv:1512.04993), i.e., the additional complexity arising in preparing the
entangled thermofield double state with two copies of the boundary CFT compared
to preparing the individual vacuum states of the two copies. We find that for
boundary dimensions $d>2$, the difference in the complexities grows linearly
with the thermal entropy at high temperatures. For the special case $d=2$, the
complexity of formation is a fixed constant, independent of the temperature. We
compare these results to those found using the complexity=volume duality.Comment: 37+32 pages, 24 figures; v2 - added appendix (Insights from MERA),
  added references, corrected typo
Classical limit of diagonal form factors and HHL correlators

We propose an expression for the classical limit of diagonal form factors in
which we integrate the corresponding observable over the moduli space of
classical solutions. In infinite volume the integral has to be regularized by
proper subtractions and we present the one, which corresponds to the classical
limit of the connected diagonal form factors. In finite volume the integral is
finite and can be expressed in terms of the classical infinite volume diagonal
form factors and subvolumes of the moduli space. We analyze carefully the
periodicity properties of the finite volume moduli space and found a classical
analogue of the Bethe-Yang equations. By applying the results to the
heavy-heavy-light three point functions we can express their strong coupling
limit in terms of the classical limit of the sine-Gordon diagonal form factors.Comment: 26 pages, 12 figure
Axion decay constants at special points in type II string theory

We propose the mechanism to disentangle the decay constant of closed string
axion from the string scale in the framework of type II string theory on
Calabi-Yau manifold. We find that the quantum and geometrical corrections in
the prepotential that arise at some special points in the moduli space widen
the window of axion decay constant. In particular, around the small complex
structure points, the axion decay constant becomes significantly lower than the
string scale. We also discuss the moduli stabilization leading to the
phenomenologically attractive low-scale axion decay constant.Comment: 29 pages, 2 figures; v2 published versio
Black holes with ${\mathfrak {su}}(N)$ gauge field hair and
  superconducting horizons

We present new planar dyonic black hole solutions of the ${\mathfrak
{su}}(N)$ Einstein-Yang-Mills equations in asymptotically anti-de Sitter
space-time, focussing on ${\mathfrak {su}}(2)$ and ${\mathfrak {su}}(3)$ gauge
groups. The magnetic part of the gauge field forms a condensate close to the
planar event horizon. We compare the free energy of a non-Abelian hairy black
hole with that of an embedded Reissner-Nordstr\"om-anti-de Sitter (RN-AdS)
black hole having the same Hawking temperature and electric charge. We find
that the hairy black holes have lower free energy. We present evidence that
there is a phase transition at a critical temperature, above which the only
solutions are embedded RN-AdS black holes. At the critical temperature, an
RN-AdS black hole can decay into a hairy black hole, and it is
thermodynamically favourable to do so. Working in the probe limit, we compute
the frequency-dependent conductivity, and find that enlarging the gauge group
from ${\mathfrak {su}}(2)$ to ${\mathfrak {su}}(3)$ eliminates a divergence in
the conductivity at nonzero frequency.Comment: 47 pages, 13 figures, minor changes, accepted for publication in JHE
Quantum Aspects of Black Objects in String Theory

One of important directions in superstring theory is to reveal the quantum
nature of black hole. In this paper we embed Schwarzschild black hole into
superstring theory or M-theory, which we call a smeared black hole, and resolve
quantum corrections to it. Furthermore we boost the smeared black hole along
the 11th direction and construct a smeared quantum black 0-brane in 10
dimensions. Quantum aspects of the thermodynamic for these black objects are
investigated in detail. We also discuss radiations of a string and a D0-brane
from the smeared quantum black 0-brane.Comment: 20 pages, a reference adde
Shortening Anomalies in Supersymmetric Theories

We present new anomalies in two-dimensional ${\mathcal N} =(2, 2)$
superconformal theories. They obstruct the shortening conditions of chiral and
twisted chiral multiplets at coincident points. This implies that marginal
couplings cannot be promoted to background superfields in short
representations. Therefore, standard results that follow from ${\mathcal N}
=(2, 2)$ spurion analysis are invalidated. These anomalies appear only if
supersymmetry is enhanced beyond ${\mathcal N} =(2, 2)$. These anomalies
explain why the conformal manifolds of the K3 and $T^4$ sigma models are not
K\"ahler and do not factorize into chiral and twisted chiral moduli spaces and
why there are no ${\mathcal N} =(2, 2)$ gauged linear sigma models that cover
these conformal manifolds. We also present these results from the point of view
of the Riemann curvature of conformal manifolds.Comment: 31 pages. v2: reference adde
Mu-tau reflection symmetry with a texture-zero

The $\mu\tau$-reflection symmetry is a simple symmetry capable of predicting
all the unknown CP phases of the lepton sector and the atmospheric angle but
too simple to predict the absolute neutrino mass scale or the mass ordering. We
show that by combining it with a discrete abelian symmetry in a nontrivial way
we can additionally enforce a texture-zero and obtain a highly predictive
scenario where the lightest neutrino mass is fixed to be in the few meV range
for two normal ordering (NO) solutions or in the tens of meV in one inverted
ordering (IO) solution. The rate for neutrinoless double beta decay is
predicted to be negligible for NO or have effective mass $m_{\beta\beta}\approx
14\text{ -- }29\,{\rm meV}$ for IO, right in the region to be probed in future
experiments.Comment: 8 pp., 1 figure. v2. updates references and few words. To appear in
  JHE
Supersymmetric $AdS_6$ vacua in six-dimensional $N=(1,1)$ gauged
  supergravity

We study fully supersymmetric $AdS_6$ vacua of half-maxi\-mal $N=(1,1)$
gauged supergravity in six space-time dimensions coupled to $n$ vector
multiplets. We show that the existence of $AdS_6$ backgrounds requires that the
gauge group is of the form $G'\times G"\subset SO(4,n)$ where $G'\subset
SO(3,m)$ and $G"\subset SO(1,n-m)$. In the $AdS_6$ vacua this gauge group is
broken to its maximal compact subgroup $SO(3)\times H'\times H"$ where
$H'\subset SO(m)$ and $H"\subset SO(n-m)$. Furthermore, the $SO(3)$ factor is
the R-symmetry gauged by three of the four graviphotons. We further show that
the $AdS_6$ vacua have no moduli that preserve all supercharges. This is
precisely in agreement with the absence of supersymmetric marginal deformations
in holographically dual five-dimensional superconformal field theories.Comment: 13 pages, no figure
Galileon Radiation from a Spherical Collapsing Shell

Galileon radiation in the collapse of a thin spherical shell of matter is
analyzed. In the framework of a cubic Galileon theory, we compute the field
profile produced at large distances by a short collapse, finding that the
radiated field has two peaks traveling ahead of light fronts. The total energy
radiated during the collapse follows a power law scaling with the shell's
physical width and results from two competing effects: a Vainshtein suppression
of the emission and an enhancement due to the thinness of the shell.Comment: 23 pages, 3 figures. v3: minor changes, reference added. It matches
  the version published in Journal of High Energy Physic
Nonstandard neutrino interactions at DUNE, T2HK and T2HKK

We study the matter effect caused by nonstandard neutrino interactions (NSI)
in the next generation long-baseline neutrino experiments, DUNE, T2HK and
T2HKK. If multiple NSI parameters are nonzero, the potential of these
experiments to detect CP violation, determine the mass hierarchy and constrain
NSI is severely impaired by degeneracies between the NSI parameters and by the
generalized mass hierarchy degeneracy. In particular, a cancellation between
leading order terms in the appearance channels when $\epsilon_{e\tau} =
\cot\theta_{23} \epsilon_{e\mu}$, strongly affects the sensitivities to these
two NSI parameters at T2HK and T2HKK. We also study the dependence of the
sensitivities on the true CP phase $\delta$ and the true mass hierarchy, and
find that overall DUNE has the best sensitivity to the magnitude of the NSI
parameters, while T2HKK has the best sensitivity to CP violation whether or not
there are NSI. Furthermore, for T2HKK a smaller off-axis angle for the Korean
detector is better overall. We find that due to the structure of the leading
order terms in the appearance channel probabilities, the NSI sensitivities in a
given experiment are similar for both mass hierarchies, modulo the phase change
$\delta \to \delta + 180^\circ$.Comment: 38 pages, 19 figures, 1 tabl
Observable Lepton Number Violation with Predominantly Dirac Nature of
  Active Neutrinos

We study a specific version of $SU(2)_R \times SU(2)_L \times U(1)_{B-L}$
models extended by discrete symmetries where the new physics sector responsible
for tiny neutrino masses at leading order remains decoupled from the new
physics sector that can give rise to observable signatures of lepton number
violation such as neutrinoless double beta decay. More specifically, the
dominant contribution to light neutrino masses comes from a one-loop Dirac
mass. At higher loop level, a tiny Majorana mass also appears which remains
suppressed by many order of magnitudes in comparison to the Dirac mass. Such a
model where the active neutrinos are predominantly of Dirac type, also predicts
observable charged lepton flavour violation like $\mu \rightarrow 3e, \mu
\rightarrow e \gamma$ and multi-component dark matter.Comment: 33 pages, 16 figures, to appear in JHE
Colour-Kinematics duality and the Drinfeld double of the Lie algebra of
  diffeomorphisms

Colour-kinematics duality suggests that Yang-Mills (YM) theory possesses some
hidden Lie algebraic structure. So far this structure has resisted
understanding, apart from some progress in the self-dual sector. We show that
there is indeed a Lie algebra behind the YM Feynman rules. The Lie algebra we
uncover is the Drinfeld double of the Lie algebra of vector fields. More
specifically, we show that the kinematic numerators following from the YM
Feynman rules satisfy a version of the Jacobi identity, in that the Jacobiator
of the bracket defined by the YM cubic vertex is cancelled by the contribution
of the YM quartic vertex. We then show that this Jacobi-like identity is in
fact the Jacobi identity of the Drinfeld double. All our considerations are
off-shell. Our construction explains why numerators computed using the Feynman
rules satisfy the colour-kinematics at four but not at higher numbers of
points. It also suggests a way of modifying the Feynman rules so that the
duality can continue to hold for an arbitrary number of gluons. Our
construction stops short of producing explicit higher point numerators because
of an absence of a certain property at four points. We comment on possible ways
of correcting this, but leave the next word in the story to future work.Comment: v2: published version, appendix on numerator identities at 5 points
  added, 34 pages, many feynmf diagram
Leptogenesis in a $\Delta(27) \times SO(10)$ SUSY GUT

Although $SO(10)$ Supersymmetric (SUSY) Grand Unification Theories (GUTs) are
very attractive for neutrino mass and mixing, it is often quite difficult to
achieve successful leptogenesis from the lightest right-handed neutrino $N_1$
due to the strong relations between neutrino and up-type quark Yukawa
couplings. We show that in a realistic model these constraints are relaxed,
making $N_1$ leptogenesis viable. To illustrate this, we calculate the baryon
asymmetry of the Universe $ Y_B $ from flavoured $ N_1 $ leptogenesis in a
recently proposed $ \Delta(27) \times SO(10) $ SUSY GUT. The flavoured
Boltzmann equations are solved numerically, and comparison with the observed $
Y_B $ places constraints on the allowed values of right-handed neutrino masses
and neutrino Yukawa couplings. The flavoured $SO(10)$ SUSY GUT is not only
fairly complete and predictive in the lepton sector, but can also explain the
BAU through leptogenesis with natural values in the lepton sector albeit with
some tuning in the quark sector.Comment: v1: 18 pages, 4 figures; v2: 20 pages, 4 figures. Expanded discussion
  of results, with new figures; v3: 22 pages, 4 figures. Version accepted in
  JHEP, new fit adde
Precise Higgs mass calculations in (non-)minimal supersymmetry at both
  high and low scales

We present FlexibleEFTHiggs, a method for calculating the SM-like Higgs pole
mass in SUSY (and even non-SUSY) models, which combines an effective field
theory approach with a diagrammatic calculation. It thus achieves an all order
resummation of leading logarithms together with the inclusion of all
non-logarithmic 1-loop contributions. We implement this method into
FlexibleSUSY and study its properties in the MSSM, NMSSM, E6SSM and MRSSM. In
the MSSM, it correctly interpolates between the known results of effective
field theory calculations in the literature for a high SUSY scale and
fixed-order calculations in the full theory for a sub-TeV SUSY scale. We
compare our MSSM results to those from public codes and identify the origin of
the most significant deviations between the DR-bar programs. We then perform a
similar comparison in the remaining three non-minimal models. For all four
models we estimate the theoretical uncertainty of FlexibleEFTHiggs and the
fixed-order DR-bar programs thereby finding that the former becomes more
precise than the latter for a SUSY scale above a few TeV. Even for sub-TeV SUSY
scales, FlexibleEFTHiggs maintains the uncertainty estimate around 2-3 GeV,
remaining a competitive alternative to existing fixed-order computations.Comment: 51 pages, corrected eq. (27), made minor corrections to some plots
  and tex
Multi-component Dark Matter through a Radiative Higgs Portal

We study a multi-component dark matter model where interactions with the
Standard Model are primarily via the Higgs boson. The model contains
vector-like fermions charged under $SU(2)_W \times U(1)_Y$ and under the dark
gauge group, $U(1)^\prime$. This results in two dark matter candidates. A
spin-1 and a spin-1/2 candidate, which have loop and tree-level couplings to
the Higgs, respectively. We explore the resulting effect on the dark matter
relic abundance, while also evaluating constraints on the Higgs invisible width
and from direct detection experiments. Generally, we find that this model is
highly constrained when the fermionic candidate is the predominant fraction of
the dark matter relic abundance.Comment: 22 pages, 9 figures, published version, updated text and reference
New Physics in the Visible Final States of $B\to D^{(*)}\tau\nu$

We derive compact expressions for the helicity amplitudes of the many-body $B
\to D^{(*)}(\to DY)\tau(\to X\nu)\nu$ decays, specifically for $X = \ell \nu$
or $\pi$ and $Y = \pi$ or $\gamma$. We include contributions from all ten
possible new physics four-Fermi operators with arbitrary couplings. Our results
capture interference effects in the full phase space of the visible $\tau$ and
$D^*$ decay products which are missed in analyses that treat the $\tau$ or
$D^*$ or both as stable. The $\tau$ interference effects are sizable, formally
of order $m_\tau/m_B$ for the standard model, and may be of order unity in the
presence of new physics. Treating interference correctly is essential when
considering kinematic distributions of the $\tau$ or $D^*$ decay products, and
when including experimentally unavoidable phase space cuts. Our amplitude-level
results also allow for efficient exploration of new physics effects in the
fully differential phase space, by enabling experiments to perform such studies
on fully simulated Monte Carlo datasets via efficient event reweighing. As an
example, we explore a class of new physics interactions that can fit the
observed $R(D^{(*)})$ ratios, and show that analyses including more
differential kinematic information can provide greater discriminating power for
new physics, than single kinematic variables alone.Comment: 32 pages, 5 figure
Next-to-leading order prediction for the decay $\mu \to e \, (e^+e^-) \,
  \nu \bar{\nu}$

We present the differential decay rates and the branching ratios of the muon
decay with internal conversion, $\mu \to e \, (e^+e^-) \, \nu \bar{\nu}$, in
the Standard Model at next-to-leading order (NLO) in the on-shell scheme. This
rare decay mode of the muon is among the main sources of background to the
search for $\mu \to eee$ decay. We found that in the phase space region where
the neutrino energies are small, and the three-electron momenta have a similar
signature as in the $\mu \to eee$ decay, the NLO corrections decrease the
leading-order prediction by about $10-20\%$Comment: 18 pages, 4 figures. v2: version published in JHEP; discussion in
  section 4.2 extende
Dual conformal transformations of smooth holographic Wilson loops

We study dual conformal transformations of minimal area surfaces in $AdS_5
\times S^5$ corresponding to holographic smooth Wilson loops and some other
related observables. To act with dual conformal transformations we map the
string solutions to the dual space by means of T-duality, then we apply a
conformal transformation and finally T-dualize back to the original space. The
transformation maps between string solutions with different boundary contours.
The boundary contours of the minimal surfaces are not mapped back to the AdS
boundary, and the regularized area of the surface changes.Comment: 21 pages, many figure
Simplified DM models with the full SM gauge symmetry : the case of
  $t$-channel colored scalar mediators

The general strategy for dark matter (DM) searches at colliders currently
relies on simplified models. In this paper, we propose a new $t$-channel
UV-complete simplified model that improves the existing simplified DM models in
two important respects: (i) we impose the full SM gauge symmetry including the
fact that the left-handed and the right-handed fermions have two independent
mediators with two independent couplings, and (ii) we include the
renormalization group evolution when we derive the effective Lagrangian for
DM-nucleon scattering from the underlying UV complete models by integrating out
the $t$-channel mediators. The first improvement will introduce a few more new
parameters compared with the existing simplified DM models. In this study we
look at the effect this broader set of free parameters has on direct detection
and the mono-$X$ + MET ($X$=jet,$W,Z$) signatures at 13 TeV LHC while
maintaining gauge invariance of the simplified model under the full SM gauge
group. We find that the direct detection constraints require DM masses less
than 10 GeV in order to produce phenomenologically interesting collider
signatures. Additionally, for a fixed mono-W cross section it is possible to
see very large differences in the mono-jet cross section when the usual
simplified model assumptions are loosened and isospin violation between RH and
LH DM-SM quark couplings are allowed.Comment: 26 pages, 15 figure
Updated fit to three neutrino mixing: exploring the accelerator-reactor
  complementarity

We perform a combined fit to global neutrino oscillation data available as of
fall 2016 in the scenario of three-neutrino oscillations and present updated
allowed ranges of the six oscillation parameters. We discuss the differences
arising between the consistent combination of the data samples from accelerator
and reactor experiments compared to partial combinations. We quantify the
confidence in the determination of the less precisely known parameters
$\theta_{23}$, $\delta_\text{CP}$, and the neutrino mass ordering by performing
a Monte Carlo study of the long baseline accelerator and reactor data. We find
that the sensitivity to the mass ordering and the $\theta_{23}$ octant is below
$1\sigma$. Maximal $\theta_{23}$ mixing is allowed at slightly more than 90%
CL. The best fit for the CP violating phase is around $270^\circ$, CP
conservation is allowed at slightly above $1\sigma$, and values of
$\delta_\text{CP} \simeq 90^\circ$ are disfavored at around 99% CL for normal
ordering and higher CL for inverted ordering.Comment: 31 pages, 13 figures, 5 tables. Matches journal version. Updated
  results of the global fit will be available at http://www.nu-fit.org/. arXiv
  admin note: text overlap with arXiv:1409.543
Super-Planckian Spatial Field Variations and Quantum Gravity

We study scenarios where a scalar field has a spatially varying vacuum
expectation value such that the total field variation is super-Planckian. We
focus on the case where the scalar field controls the coupling of a U(1) gauge
field, which allows us to apply the Weak Gravity Conjecture to such
configurations. We show that this leads to evidence for a conjectured property
of quantum gravity that as a scalar field variation in field space asymptotes
to infinity there must exist an infinite tower of states whose mass decreases
as an exponential function of the scalar field variation. We determine the rate
at which the mass of the states reaches this exponential behaviour showing that
it occurs quickly after the field variation passes the Planck scale.Comment: 10pp; v2: Expanded discussions to improve clarity, published version.
  v3: improved discussion, results unchange
2D quantum gravity on compact Riemann surfaces with non-conformal matter

We study the gravitational action induced by coupling two-dimensional
non-conformal, massive matter to gravity on a compact Riemann surface. We
express this gravitational action in terms of finite and well-defined
quantities for any value of the mass. A small-mass expansion gives back the
Liouville action in the massless limit, the Mabuchi and Aubin-Yau actions to
first order, as well as an infinite series of higher-order contributions
written in terms of purely geometric quantities.Comment: 15 pages, minor correction