pinecone/core-2020-05-10-deduplication huggingface dataset:
SH$^c$ Realization of Minimal Model CFT: Triality, Poset and Burge
  Condition

Recently an orthogonal basis of $\mathcal{W}_N$-algebra (AFLT basis) labeled
by $N$-tuple Young diagrams was found in the context of 4D/2D duality.
Recursion relations among the basis are summarized in the form of an algebra
SH$^c$ which is universal for any $N$. We show that it has an $\mathfrak{S}_3$
automorphism which is referred to as triality. We study the level-rank duality
between minimal models, which is a special example of the automorphism. It is
shown that the nonvanishing states in both systems are described by $N$ or $M$
Young diagrams with the rows of boxes appropriately shuffled. The reshuffling
of rows implies there exists partial ordering of the set which labels them. For
the simplest example, one can compute the partition functions for the partially
ordered set (poset) explicitly, which reproduces the Rogers-Ramanujan
identities. We also study the description of minimal models by SH$^c$. Simple
analysis reproduces some known properties of minimal models, the structure of
singular vectors and the $N$-Burge condition in the Hilbert space.Comment: 1+38 pages and 12 figures. v2: typos corrected + comments adde
Flowing to Higher Dimensions: A New Strongly-Coupled Phase on M2 Branes

We describe a one-parameter family of new holographic RG flows that start
from $AdS_4 \times S^7$ and go to $\widehat{AdS_5} \times {\cal B}_6$, where
${\cal B}_6$ is conformal to a K\"ahler manifold and $\widehat{AdS_5}$ is
Poincar\'e $AdS_5$ with one spatial direction compactified and fibered over
${\cal B}_6$. The new solutions "flow up dimensions," going from the
$(2+1)$-dimensional conformal field theory on M2 branes in the UV to a
$(3+1)$-dimensional field theory on intersecting M5 branes in the infra-red.
The M2 branes completely polarize into M5 branes along the flow and the
Poincar\'e sections of the $\widehat{AdS_5}$ are the $(3+1)$-dimensional common
intersection of the M5 branes. The emergence of the extra dimension in the
infra-red suggests a new strongly-coupled phase of the M2 brane and ABJM
theories in which charged solitons are becoming massless. The flow solution is
first analyzed by finding a four-dimensional $N \! = \! 2$ supersymmetric flow
in $N \! = \! 8$ gauged supergravity. This is then generalized to a one
parameter family of non-supersymmetric flows. The infra-red limit of the
solutions appears to be quite singular in four dimensions but the uplift to
eleven-dimensional supergravity is remarkable and regular (up to orbifolding).
Our construction is a non-trivial application of the recently derived uplift
formulae for fluxes, going well beyond the earlier constructions of stationary
points solutions. The eleven-dimensional supersymmetry is also analyzed and
shows how, for the supersymmetric flow, the M2-brane supersymmetry in the UV is
polarized entirely into M5-brane supersymmetry in the infra-red.Comment: 28 pages, 2 figures. Version 2 contains a discussion of new
  non-supersymmetric flow
Lepton Flavor Non-Universality in B-meson Decays from a U(2) Flavor
  Model

We address the recent anomalies in semi-leptonic $B$-meson decays using a
model of fermion masses based on the $U(2)$ flavor symmetry. The new
contributions to $b \to s \ell \ell$ transitions arise due to a tree-level
exchange of a $Z^\prime$ vector boson gauging a $U(1)$ subgroup of the flavor
symmetry. They are controlled by a single parameter and are approximately
aligned to the Standard Model prediction, with constructive interference in the
$e$-channel and destructive interference in the $\mu$-channel. The current
experimental data on semi-leptonic $B$-meson decays can be very well reproduced
without violating existing constraints from flavor violation in the quark and
lepton sectors. Our model will be tested by new measurements of $b \to s \ell
\ell$ transitions and also by future electroweak precision tests, direct
$Z^\prime$ searches, and $\mu$-$e$ conversion in nuclei.Comment: 23 pages, 2 figures, references added, matches published versio
The curious incident of multi-instantons and the necessity of Lefschetz
  thimbles

We show that compatibility of supersymmetry with exact semi-classics demands
that in calculating multi-instanton amplitudes, the "separation" quasi-zeromode
must be complexified and the integration cycles must be found by using complex
gradient flow (or Picard-Lefschetz equations.) As a non-trivial application, we
study $\mathcal N=2$ extended supersymmetric quantum mechanics. Even though in
this case supersymmetry is unbroken, the instanton-anti-instanton amplitude
(naively calculated) seems to contribute to the ground state energy. We show,
however, that the instanton-anti-instanton event consists of two parts: a
fermion-correlated and a scalar-correlated event. Although both of these
contributions are naively of the same sign and the latter is superficially
higher order in the perturbative coupling, we show that the two contributions
exactly cancel when they are evaluated on Lefschetz thimbles due to their
relative Hidden Topological Angles (HTAs). This gives strong evidence that the
semi-classical expansion using Lefschetz thimbles is not only a meaningful
prescription for higher order semi-classics, but a necessary one. This
deduction seems to be universal and applicable to both supersymmetric and
non-supersymmetric theories. In conclusion we speculate that similar
conspiracies are responsible for the non-formation of certain molecular
contributions in theories where instantons have more than two fermionic
zeromodes and do not contribute to the superpotential.Comment: 18 pages, 2 figures. Some extensions and minor corrections were
  implemented. This version was accepted for publication at JHE
Black Hole Entropy and Viscosity Bound in Horndeski Gravity

Horndeski gravities are theories of gravity coupled to a scalar field, in
which the action contains an additional non-minimal quadratic coupling of the
scalar, through its first derivative, to the Einstein tensor or the analogous
higher-derivative tensors coming from the variation of Gauss-Bonnet or Lovelock
terms. In this paper we study the thermodynamics of the static black hole
solutions in $n$ dimensions, in the simplest case of a Horndeski coupling to
the Einstein tensor. We apply the Wald formalism to calculate the entropy of
the black holes, and show that there is an additional contribution over and
above those that come from the standard Wald entropy formula. The extra
contribution can be attributed to unusual features in the behaviour of the
scalar field. We also show that a conventional regularisation to calculate the
Euclidean action leads to an expression for the entropy that disagrees with the
Wald results. This seems likely to be due to ambiguities in the subtraction
procedure. We also calculate the viscosity in the dual CFT, and show that the
viscosity/entropy ratio can violate the $\eta/S\ge 1/(4\pi)$ bound for
appropriate choices of the parameters.Comment: 30 pages, no figure, minor revision
Scaling of the Holographic AC conductivity for non-Fermi liquids at
  criticality

The frequency dependence of the AC conductivity is studied in a holographic
model of a non-fermi liquid that is amenable to both analytical and numerical
computation. In the regime that dissipation dominates the DC conductivity, the
AC conductivity is described well in the IR by a Drude peak despite the absence
of quasiparticles. In the regime where pair-production-like processes dominate
the conductivity there is no Drude peak. A scaling tail is found for the AC
conductivity that is independent of the charge density and momentum
dissipation. Evidence is given that this scaling tail $\sigma_{AC}\sim
\omega^m$ appears generically in quantum critical holographic systems and the
associated scaling exponent $m$ is calculated in terms of the Lifshitz and
conduction critical exponents.Comment: 66 pages, 14 figures and 2 table
Worldsheet scattering for the GKP string

We initiate the perturbative study of the S-matrix for the excitations on top
of the GKP vacuum at strong coupling. Using the string sigma model action
expanded around the null cusp classical solution, we compute the tree-level
S-matrix elements and compare them with the predictions from the asymptotic
Bethe Ansatz. We also check the factorization of the three-body S-matrix for
various bosonic processes, finding precise agreement with the constraints
imposed by integrability.Comment: 33 pages, 13 figure
Classification of Shift-Symmetric No-Scale Supergravities

Models of 4D $\mathcal{N}=1$ supergravity coupled to chiral multiplets with
vanishing or positive scalar potential have been denoted as no-scale. Of
particular interest in the context of string theory are models which
additionally possess a shift-symmetry. In this case there exists a dual
description of chiral models in terms of real linear multiplets. We classify
all ungauged shift-symmetric no-scale supergravities in both formulations and
verify that they match upon dualization. Additionally, we comment on the
realizations within effective supergravities descending from string
compactifications.Comment: 31 pages; v2: References adde
Newton-Cartan supergravity with torsion and Schrödinger supergravity

We derive a torsionfull version of three-dimensional N=2 Newton-Cartan supergravity using a non-relativistic notion of the superconformal tensor calculus. The “superconformal” theory that we start with is Schrödinger supergravity which we obtain by gauging the Schrödinger superalgebra. We present two non-relativistic N=2 matter multiplets that can be used as compensators in the superconformal calculus. They lead to two different off-shell formulations which, in analogy with the relativistic case, we call “old minimal” and “new minimal” Newton-Cartan supergravity. We find similarities but also point out some differences with respect to the relativistic case
Holographic Complexity Of Cold Hyperbolic Black Holes

AdS black holes with hyperbolic horizons provide strong-coupling descriptions
of thermal CFT states on hyperboloids. The low-temperature limit of these
systems is peculiar. In this note we show that, in addition to a large ground
state degeneracy, these states also have an anomalously large holographic
complexity, scaling logarithmically with the temperature. We speculate on
whether this fact generalizes to other systems whose extreme infrared regime is
formally controlled by Conformal Quantum Mechanics, such as various instances
of near-extremal charged black holes.Comment: Reference added. 14 pages, 3 figure
Two-loop off-shell QCD amplitudes in FDR

We link the FDR treatment of ultraviolet (UV) divergences to dimensional
regularization up to two loops in QCD. This allows us to derive the one-loop
and two-loop coupling constant and quark mass shifts necessary to translate
infrared finite quantities computed in FDR to the MSbar renormalization scheme.
As a by-product of our analysis, we solve a problem analogous to the breakdown
of unitarity in the Four Dimensional Helicity (FDH) method beyond one loop. A
fix to FDH is then presented that preserves the renormalizability properties of
QCD without introducing evanescent quantities.Comment: 25 pages, 6 figure
A goldstino at the bottom of the cascade

Working within a five-dimensional consistent truncation of type IIB
supergravity dimensionally reduced on $T^{1,1}$, we consider supersymmetry
breaking solutions with the asymptotics of the supersymmetric
Klebanov-Strassler background. There exists a two-parameter family of such
solutions. Within this family, we show that those (and only those) solutions
related to antiD-branes at the tip of the conifold correspond to dual field
theory vacua where a goldstino mode is present and supercurrent Ward identities
hold. Our findings do not depend on the IR singularity of the dual backgrounds,
nor on its resolution. As such, they constitute an independent, necessary check
for the existence of supersymmetry breaking vacua in the conifold cascading
gauge theory. Our analysis relies on a holographic derivation of the Ward
identities which has a wider applicability, beyond the specific system and
symmetries considered here.Comment: 33+1 pages; v2: Slight rephrasing of the abstract, typos corrected
  and a reference added; v3: More minor typos corrected, footnote 18 added,
  version published in JHE
Bounds on large extra dimensions from the simulation of black hole
  events at the LHC

If large extra dimensions exist, the Planck scale may be as low as a TeV and
microscopic black holes may be produced in high-energy particle collisions at
this energy scale. We simulate microscopic black hole formation at the Large
Hadron Collider and compare the simulation results with recent experimental
data by the Compact Muon Solenoid collaboration. The absence of observed black
hole events in the experimental data allows us to set lower bounds on the
Planck scale and various parameters related to microscopic black hole formation
for a number ($3-6$) of extra dimensions. Our analysis sets lower bounds on the
fundamental Planck scale ranging from 0.6 TeV to 4.8 TeV for black holes fully
decaying into Standard Model particles and 0.3 TeV to 2.8 TeV for black holes
settling down to a remnant, depending on the minimum allowed black hole mass at
formation. Formation of black holes with mass less than 5.2 TeV to 6.5 TeV (SM
decay) and 2.2 TeV to 3.4 TeV (remnant) is excluded at 95\% C.L. Our analysis
shows consistency with and difference from the CMS results.Comment: 15 pages, 5 figure
Neutrino masses and mixing from flavour antisymmetry

We discuss consequences of assuming ($i$) that the (Majorana) neutrino mass
matrix $M_\nu$ displays flavour antisymmetry, $S_\nu^T M_\nu S_\nu=-M_\nu$ with
respect to some discrete symmetry $S_\nu$ contained in $SU(3)$ and ($ii$)
$S_\nu$ together with a symmetry $T_l$ of the Hermitian combination
$M_lM_l^\dagger$ of the charged lepton mass matrix forms a finite discrete
subgroup $G_f$ of $SU(3)$ whose breaking generates these symmetries. Assumption
($i$) leads to at least one massless neutrino and allows only four textures for
the neutrino mass matrix in a basis with a diagonal $S_\nu$ if it is assumed
that the other two neutrinos are massive. Two of these textures contain a
degenerate pair of neutrinos.Assumption ($ii$) can be used to determine the
neutrino mixing patterns. We work out these patterns for two major group series
$\Delta(3 N^2)$ and $\Delta(6 N^2)$ as $G_f$. It is found that all $\Delta(6
N^2)$ and $\Delta(3 N^2)$ groups with even $N$ contain some elements which can
provide appropriate $S_\nu$. Mixing patterns can be determined analytically for
these groups and it is found that only one of the four allowed neutrino mass
textures is consistent with the observed values of the mixing angles
$\theta_{13}$ and $\theta_{23}$. This texture corresponds to one massless and a
degenerate pair of neutrinos which can provide the solar pair in the presence
of some perturbations. The well-known groups $A_4$ and $S_4$ provide examples
of the groups in respective series allowing correct $\theta_{13}$ and
$\theta_{23}$. An explicit example based on $A_4$ and displaying a massless and
two quasi degenerate neutrinos is discussed.Comment: 22 pages, 1 figur
The S-Matrix of superstring field theory

We show that the classical S-matrix calculated from the recently proposed
superstring field theories give the correct perturbative S-matrix. In the proof
we exploit the fact that the vertices are obtained by a field redefinition in
the large Hilbert space. The result extends to include the NS-NS subsector of
type II superstring field theory and the recently found equations of motions
for the Ramond fields. In addition, our proof implies that the S-matrix
obtained from Berkovits' WZW-like string field theory then agrees with the
perturbative S-matrix to all orders.Comment: 19 pages, 2 figure
A minimal model for ${\rm SU}(N)$ vector dark matter

We study an extension of the Standard Model featuring a hidden sector that
consists of a new scalar charged under a new SU$(N)_D$ gauge group, singlet
under all Standard Model gauge interactions, and coupled with the Standard
Model only via a Higgs portal. We assume that the theory is classically
conformal, with electroweak symmetry breaking dynamically induced via the
Coleman-Weinberg mechanism operating in the hidden sector. Due to the symmetry
breaking pattern, the SU$(N)_D$ gauge group is completely Higgsed and the
resulting massive vectors of the hidden sector constitute a stable dark matter
candidate. We perform a thorough scan over the parameter space of the model at
different values of $N=2$, $3$, and $4$, and investigate the phenomenological
constraints. We find that $N=2,3$ provide the most appealing model setting in
light of present data from colliders and dark matter direct search experiments.
We expect a heavy Higgs to be discovered at LHC by the end of Run II or the
$N=3$ model to be ruled out.Comment: 17 pages, 4 figures (8 plots); typos corrected, previous results do
  not change; new section with new figure added before conclusions, few
  sentences added to abstract and conclusions; two citations adde
Testing ATLAS Diboson Excess with Dark Matter Searches at LHC

The ATLAS collaboration has recently reported a 2.6 sigma excess in the
search for a heavy resonance decaying into a pair of weak gauge bosons. Only
fully hadronic final states are being looked for in the analysis. If the
observed excess really originates from the gauge bosons' decays, other decay
modes of the gauge bosons would inevitably leave a trace on other exotic
searches. In this paper, we propose the use of the Z boson decay into a pair of
neutrinos to test the excess. This decay leads to a very large missing energy
and can be probed with conventional dark matter searches at the LHC. We discuss
the current constraints from the dark matter searches and the prospects. We
find that optimizing these searches may give a very robust probe of the
resonance, even with the currently available data of the 8 TeV LHC.Comment: 10 pages, 2 figures; v2: added references, fixed typos; v3: added
  some clarifications and figures showing MET distributions, published versio
Indirect determinations of the top quark mass

We give a complete analysis of indirect determinations of the top quark mass
in the Standard Model by introducing a systematic procedure to identify
observables that receive quantum corrections enhanced by powers of $M_t$. We
propose to use flavour physics as a tool to extract the top quark mass.
Although present data give only a poor determination, we show how future
theoretical and experimental progress in flavour physics can lead to an
accuracy in $M_t$ well below 2 GeV. We revisit determinations of $M_t$ from
electroweak data, showing how an improved measurement of the $W$ mass leads to
an accuracy well below 1 GeV.Comment: 31 pages, 6 figures. v2: final version to appear on JHE
One-Loop quantum gravity in the Einstein universe

We study quantum gravity with the Einstein-Hilbert action including the
cosmological constant on the Euclidean Einstein universe $S^1\times S^3$. We
compute exactly the spectra and the heat kernels of the relevant operators on
$S^3$ and use these results to compute the heat trace of the graviton and ghost
operators and the exact one-loop effective action on $S^1\times S^3$. We show
that the system is unstable in the infrared limit due to the presence of the
negative modes of the graviton and the ghost operators. We study the thermal
properties of the model with the temperature $T=(2\pi a_1)^{-1}$ determined by
the radius $a_1$ of the circle $S^1$. We show that the heat capacity $C_v$ is
well defined and behaves like $\sim T^3$ in the high temperature limit and has
a singularity of the type $\sim (T-T_c)^{-1}$, indicating a second-order phase
transition, with the critical temperature $T_c$ determined by the cosmological
constant $\Lambda$ and the radius $a$ of the sphere $S^3$. We also discuss some
peculiar properties of the model such as the negative heat capacity as well as
possible physical applications.Comment: 50 pages, 2 figures; misprints in eqs. (5.114), (5.115), (5.181),
  (5.186), (5.187) corrected; final results not affecte
On the Impact of Lepton PDFs

In this paper we discuss the effect of the complete leading-order QED
corrections to the DGLAP equations in the perturbative evolution of parton
distribution functions (PDFs). This requires the extension of the purely QCD
DGLAP evolution, including a PDF for the photons and, consistently, also for
the charged leptons $e^{\pm}$, $\mu^\pm$ and $\tau^\pm$. We present the
implementation of the QED-corrected DGLAP evolution in the presence of photon
and lepton PDFs in the APFEL program and, by means of different assumptions for
the initial scale PDFs, we produce for the first time PDF sets containing
charged lepton distributions. We also present phenomenological studies that aim
to assess the impact of the presence of lepton PDFs in the proton for some
relevant SM (and BSM) processes at the LHC at 13 TeV and the FCC-hh at 100 TeV.
The impact of the photon PDF is also outlined for those processes.Comment: 32 pages, 19 figures, matches published version in JHE
Hair-brane Ideas on the Horizon

We continue an examination of the microstate geometries program begun in
arXiv:1409.6017, focussing on the role of branes that wrap the cycles which
degenerate when a throat in the geometry deepens and a horizon forms. An
associated quiver quantum mechanical model of minimally wrapped branes exhibits
a non-negligible fraction of the gravitational entropy, which scales correctly
as a function of the charges. The results suggest a picture of AdS_3/CFT_2
duality wherein the long string that accounts for BTZ black hole entropy in the
CFT description, can also be seen to inhabit the horizon of BPS black holes on
the gravity side.Comment: 50 pages, 4 figures. v2: minor corrections, reference adde
Resummation and Matching of $b$-quark Mass Effects in $b\bar{b}H$
  Production

We use a systematic effective field theory setup to derive the $b\bar{b}H$
production cross section. Our result combines the merits of both fixed 4-flavor
and 5-flavor schemes. It contains the full 4-flavor result, including the exact
dependence on the $b$-quark mass, and improves it with a resummation of
collinear logarithms of $m_b/m_H$. In the massless limit, it corresponds to a
reorganized 5-flavor result. While we focus on $b\bar{b}H$ production, our
method applies to generic heavy-quark initiated processes at hadron colliders.
Our setup resembles the variable flavor number schemes known from heavy-flavor
production in deep-inelastic scattering, but also differs in some key aspects.
Most importantly, the effective $b$-quark PDF appears as part of the
perturbative expansion of the final result where it effectively counts as an
$O(\alpha_s)$ object. The transition between the fixed-order (4-flavor) and
resummation (5-flavor) regimes is governed by the low matching scale at which
the $b$-quark is integrated out. Varying this scale provides a systematic way
to assess the perturbative uncertainties associated with the resummation and
matching procedure and reduces by going to higher orders. We discuss the
practical implementation and present numerical results for the $b\bar{b}H$
production cross section at NLO+NLL. We also provide a comparison to the
corresponding predictions in the fixed 4-flavor and 5-flavor results and the
Santander matching prescription. Compared to the latter, we find a slightly
reduced uncertainty and a larger central value, with its central value lying at
the lower edge of our uncertainty band.Comment: 54 pages, 16 figures. Final version to be published in JHEP (one ref
  added