pinecone/core-2020-05-10-deduplication huggingface dataset:
Semiclassics, Goldstone Bosons and CFT data

Hellerman et al. (arXiv:1505.01537) have shown that in a generic CFT the
spectrum of operators carrying a large U(1) charge can be analyzed
semiclassically in an expansion in inverse powers of the charge. The key is the
operator state correspondence by which such operators are associated with a
finite density superfluid phase for the theory quantized on the cylinder. The
dynamics is dominated by the corresponding Goldstone hydrodynamic mode and the
derivative expansion coincides with the inverse charge expansion. We illustrate
and further clarify this situation by first considering simple quantum
mechanical analogues. We then systematize the approach by employing the coset
construction for non-linearly realized space-time symmetries. Focussing on CFT3
we illustrate the case of higher rank and non-abelian groups and the
computation of higher point functions. Three point function coefficients turn
out to satisfy universal scaling laws and correlations as the charge and spin
are varied.Comment: 40+8 pages, 2 figure
RG stability of integrable fishnet models

We address the question of perturbative consistency in the scalar fishnet
models presented by Caetano, Gurdogan and Kazakov\cite{Gurdogan:2015csr,
Caetano:2016ydc}. We argue that their 3-dimensional $\phi^{6}$ fishnet model
becomes perturbatively stable under renormalization in the large $N$ limit, in
contrast to what happens in their 4-dimensional $\phi^{4}$ fishnet model, in
which double trace terms are known to be generated by the RG flow. We point out
that there is a direct way to modify this second theory that protects it from
such corrections. Additionally, we observe that the 6-dimensional $\phi^{3}$
Lagrangian that spans an hexagonal integrable scalar fishnet is consistent at
the perturbative level as well. The nontriviality and simplicity of this last
model is illustrated by computing the anomalous dimensions of its
$\text{tr}\phi_i \phi_j$ operators to all perturbative orders.Comment: 25 pages, 15 figures. V2: Added references, minor correction
Surface defects and elliptic quantum groups

A brane construction of an integrable lattice model is proposed. The model is
composed of Belavin's R-matrix, Felder's dynamical R-matrix, the
Bazhanov-Sergeev-Derkachov-Spiridonov R-operator and some intertwining
operators. This construction implies that a family of surface defects act on
supersymmetric indices of four-dimensional $\mathcal{N} = 1$ supersymmetric
field theories as transfer matrices related to elliptic quantum groups.Comment: 31 pages. v2: minor changes and corrections; v3: minor improvements,
  published versio
A Combinatoric Shortcut to Evaluate CHY-forms

In \cite{Chen:2016fgi} we proposed a differential operator for the evaluation
of the multi-dimensional residues on isolated (zero-dimensional) poles.In this
paper we discuss some new insight on evaluating the (generalized)
Cachazo-He-Yuan (CHY) forms of the scattering amplitudes using this
differential operator. We introduce a tableau representation for the
coefficients appearing in the proposed differential operator. Combining the
tableaux with the polynomial forms of the scattering equations, the evaluation
of the generalized CHY form becomes a simple combinatoric problem. It is thus
possible to obtain the coefficients arising in the differential operator in a
straightforward way. We present the procedure for a complete solution of the
$n$-gon amplitudes at one-loop level in a generalized CHY form. We also apply
our method to fully evaluate the one-loop five-point amplitude in the maximally
supersymmetric Yang-Mills theory; the final result is identical to the one
obtained by Q-Cut.Comment: 34 pages, 10 figure
Two-parton scattering in the high-energy limit

Considering $2\to 2$ gauge-theory scattering with general colour in the
high-energy limit, we compute the Regge-cut contribution to three loops through
next-to-next-to-leading high-energy logarithms (NNLL) in the signature-odd
sector. Our formalism is based on using the non-linear Balitsky-JIMWLK rapidity
evolution equation to derive an effective Hamiltonian acting on states with a
fixed number of Reggeized gluons. A new effect occurring first at NNLL is
mixing between states with $k$ and $k+2$ Reggeized gluons due non-diagonal
terms in this Hamiltonian. Our results are consistent with a recent
determination of the infrared structure of scattering amplitudes at three
loops, as well as a computation of $2\to 2$ gluon scattering in ${\cal N}=4$
super Yang-Mills theory. Combining the latter with our Regge-cut calculation we
extract the three-loop Regge trajectory in this theory. Our results open the
way to predict high-energy logarithms through NNLL at higher-loop orders.Comment: 62 pages, 7 figure
The Standard Model Gauge Symmetry from Higher-Rank Unified Groups in
  Grand Gauge-Higgs Unification Models

We study grand unified models in the five-dimensional space-time where the
extra dimension is compactified on $S^1/Z_2$. The spontaneous breaking of
unified gauge symmetries is achieved via vacuum expectation values of the
extra-dimensional components of gauge fields. We derive one-loop effective
potentials for the zero modes of the gauge fields in SU(7), SU(8), SO(10), and
$E_6$ models. In each model, the rank of the residual gauge symmetry that
respects the boundary condition imposed at the orbifold fixed points is higher
than that of the standard model. We verify that the residual symmetry is broken
to the standard model gauge symmetry at the global minima of the effective
potential for certain sets of bulk fermion fields in each model.Comment: 34 pages, 1 figure, clarifications added in Sec. 6, published versio
$\Upsilon$ and $\psi$ leptonic decays as probes of solutions to the
  $R_D^{(*)}$ puzzle

Experimental measurements of the ratios $R(D^{(*)})\equiv\frac{\Gamma(B\to
D^{(*)}\tau\nu)}{\Gamma(B\to D^{(*)}\ell\nu)}$ ($\ell=e,\mu$) show a
$3.9\sigma$ deviation from the Standard Model prediction. In the absence of
light right-handed neutrinos, a new physics contribution to $b\to c\tau\nu$
decays necessarily modifies also $b\bar b\to\tau^+\tau^-$ and/or $c\bar
c\to\tau^+\tau^-$ transitions. These contributions lead to violation of lepton
flavor universality in, respectively, $\Upsilon$ and $\psi$ leptonic decays. We
analyze the constraints resulting from measurements of the leptonic
vector-meson decays on solutions to the $R(D^{(*)})$ puzzle. Available data
from BaBar and Belle can already disfavor some of the new physics explanations
of this anomaly. Further discrimination can be made by measuring
$\Upsilon(1S,2S,3S)\to\tau\tau$ in the upcoming Belle II experiment.Comment: Version published in JHEP, 17 pages, 7 figure
Combining the complex Langevin method and the generalized
  Lefschetz-thimble method

The complex Langevin method and the generalized Lefschetz-thimble method are
two closely related approaches to the sign problem, which are both based on
complexification of the original dynamical variables. The former can be viewed
as a generalization of the stochastic quantization using the Langevin equation,
whereas the latter is a deformation of the integration contour using the
so-called holomorphic gradient flow. In order to clarify their relationship, we
propose a formulation which combines the two methods by applying the former
method to the real variables that parametrize the deformed integration contour
in the latter method. Three versions, which differ in the treatment of the
residual sign problem in the latter method, are considered. By applying them to
a single-variable model, we find, in particular, that one of the versions
interpolates the complex Langevin method and the original Lefschetz-thimble
method.Comment: 18 pages, 5 figures; (v2) reference added; (v3) discussions and
  references added, the version to appear in JHE
Polarised Black Holes in ABJM

We numerically construct asymptotically $AdS_4$ solutions to
Einstein-Maxwell-dilaton theory. These have a dipolar electrostatic potential
turned on at the conformal boundary $S^2\times \mathbb{R}_t$. We find two
classes of geometries: $AdS$ soliton solutions that encode the full
backreaction of the electric field on the $AdS$ geometry without a horizon, and
neutral black holes that are "polarised" by the dipolar potential. For a
certain range of the electric field $\mathcal{E}$, we find two distinct
branches of the $AdS$ soliton that exist for the same value of $\mathcal{E}$.
For the black hole, we find either two or four branches depending on the value
of the electric field and horizon temperature. These branches meet at critical
values of the electric field and impose a maximum value of $\mathcal{E}$ that
should be reflected in the dual field theory. For both the soliton and black
hole geometries, we study boundary data such as the stress tensor. For the
black hole, we also consider horizon observables such as the entropy. At finite
temperature, we consider the Gibbs free energy for both phases and determine
the phase transition between them. We find that the $AdS$ soliton dominates at
low temperature for an electric field up to the maximum value. Using the
gauge/gravity duality, we propose that these solutions are dual to deformed
ABJM theory and compute the corresponding weak coupling phase diagram
Two-Loop integrals for CP-even heavy quarkonium production and decays

By employing the method of differential equations, we compute the various
types of two-loop master integrals involved in CP-even heavy quarkonium
exclusive production and decays. All the integrals presented in this paper can
be casted into canonical forms and expressed in terms of Goncharov
polylogarithms and Harmonic polylogarithms. These master integrals are
frequently used in the calculation of NNLO corrections of the heavy quarkonium
production processes, as $\gamma^*\gamma\rightarrow Q\bar{Q}$,
$e^+e^-\rightarrow \gamma+ Q\bar{Q}$, and $H/Z^0\rightarrow \gamma+ Q\bar{Q}$,
and decay processes. They are also applicable in the calculation of NNLO
corrections to CP-even quarkonium inclusive production and decay processes.Comment: 33 pages, 2 figure
7-dimensional ${\cal N}=2$ Consistent Truncations using $\mathrm{SL}(5)$
  Exceptional Field Theory

We show how to construct seven-dimensional half-maximally supersymmetric
consistent truncations of 11-/10-dimensional SUGRA using $\mathrm{SL}(5)$
exceptional field theory. Such truncations are defined on generalised
$\mathrm{SU}(2)$-structure manifolds and give rise to seven-dimensional
half-maximal gauged supergravities coupled to $n$ vector multiplets and thus
with scalar coset space $\mathbb{R}^+ \times
\mathrm{O}(3,n)/\mathrm{O}(3)\times\mathrm{O}(n)$. The consistency conditions
for the truncation can be written in terms of the generalised Lie derivative
and take a simple geometric form. We show that after imposing certain "doublet"
and "closure" conditions, the embedding tensor of the gauged supergravity is
given by the intrinsic torsion of generalised $\mathrm{SU}(2)$-connections and
automatically satisfies the linear constraint of seven-dimensional half-maximal
gauged supergravities, as well as the quadratic constraint when the section
condition is satisfied.Comment: 46 pages; v2: minor changes, published versio
A Refined Count of BPS States in the D1/D5 System

We examine the low-lying quarter BPS spectrum of a 2d conformal field theory
with target Sym$^N(K3)$ at various points in the moduli space, and look at a
more refined count than the ordinary elliptic genus. We compute growth of the
spectrum at both the symmetric orbifold point, as well as at the supergravity
point in the moduli space. Finally we do a decomposition of the spectra into
$\mathcal{N}=4$ characters and discuss possible relations to interesting
symmetry groups. A similar analysis is done with $T^4$.Comment: 22 pages, 3 figures, v2: minor changes, v3: some typos fixe
Localised and nonuniform thermal states of super-Yang-Mills on a circle

At low energies or temperatures, maximally supersymmetric Yang-Mills theory
on $\mathbb R^{(t)}\times S^1$ with large $N$ gauge group $SU(N)$ and strong
t'Hooft coupling is conjectured to be dual to the low energy dynamics of a
collection of D0-branes on a circle. We construct thermal states in the
gravitational side of the correspondence where we find a first-order phase
transition between states that are uniform on the $S^1$ and states that are
localised on it. When compared with lattice computations that are now
available, these critical values provide the first instance where a first-order
phase transition is tested on both sides of gauge/gravity duality.Comment: 22 pages, 6 figure
Probing minimal SUSY scenarios in the light of muon $g-2$ and dark
  matter

We study supersymmetric (SUSY) models in which the muon $g-2$ discrepancy and
the dark matter relic abundance are simultaneously explained. The muon $g-2$
discrepancy, or a 3$\sigma$ deviation between the experimental and theoretical
results of the muon anomalous magnetic moment, can be resolved by SUSY models,
which implies at least three SUSY multiplets have masses of
$\mathop{\mathcal{O}}(100)\, \mathrm{GeV}$. In particular, models with the
bino, higgsino and slepton having $\mathop{\mathcal{O}}(100)\, \mathrm{GeV}$
masses are not only capable to explain the muon $g-2$ discrepancy but naturally
contains the neutralino dark matter with the observed relic abundance. We study
constraints and future prospects of such models; in particular, we find that
the LHC search for events with two hadronic taus and missing transverse
momentum can probe this scenario through chargino/neutralino production. It is
shown that almost all the parameter space of the scenario can be probed at the
high-luminosity LHC, and a large part can also be tested at the XENON1T
experiment as well as at the ILC.Comment: 16 pages, 5 figures; the published versio
Non-linear perturbation of black branes at large $D$

The Einstein equations describing the black-brane dynamics both in Minkowski
and AdS background were recently recast in the form of coupled diffusion
equations in the large-$D$(imension) limit. Using such results in the
literature, we formulate a higher-order perturbation theory of black branes in
time domain and present the general form of solutions for arbitrary initial
conditions. For illustrative purposes, the solutions up to the first or second
order are explicitly written down for several kind of initial conditions, such
as a Gaussian wave packet, shock wave, and rather general superposed sinusoidal
waves. These could be the first examples describing the non-trivial evolution
of black-brane horizons in time domain. In particular, we learn some
interesting aspects of black-brane dynamics such as the Gregory-Laflamme (GL)
instability and non-equilibrium steady state (NESS). The formalism presented
here would be applicable to the analysis of various black branes and their
holographically dual field theories.Comment: 1+22 pages, 6 figure
Light baryons below and above the deconfinement transition: medium
  effects and parity doubling

We study what happens to the Nucleon, Delta and Omega baryons in the hadronic
gas and the quark-gluon plasma, with particular interest in parity doubling and
its emergence as the plasma is heated. This is done using simulations of
lattice QCD, employing the FASTSUM anisotropic Nf=2+1 ensembles, with four
temperatures below and four above the deconfinement transition temperature.
Below Tc we find that the positive-parity groundstate masses are largely
temperature independent, whereas the negative-parity ones are reduced
considerably as the temperature increases. This may be of interest for
heavy-ion phenomenology. Close to the transition, the masses are nearly
degenerate, in line with the expectation from chiral symmetry restoration.
Above Tc we find a clear signal of parity doubling in all three channels, with
the effect of the heavier s quark visible.Comment: 33 pages, several figures; additional evidence on the absence of
  light baryonic bound states in the QGP provided, references added, to appear
  in JHE
AdS$_5$ vacua from type IIB supergravity on $T^{1,1}$

We study maximally supersymmetric Anti-de Sitter backgrounds in consistent
N=2 truncations of type IIB supergravity compactified on the Sasaki-Einstein
manifold $T^{1,1}$. In particular, we focus on truncations that contain fields
coming from the nontrivial second and third cohomology forms on $T^{1,1}$.
These give rise to N=2 supergravity coupled to two vector- and two
hypermultiplets (Betti-vector truncation) or one vector- and three
hypermultiplets (Betti-hyper truncation), respectively. We find that both
truncations admit AdS$_5$ backgrounds with the gauge group always being broken
but containing at least an $U(1)_R$ factor. Moreover, in both cases we show
that the moduli space of AdS vacua is nontrivial and of maximal dimension.
Finally, we explicitly compute the metrics on these moduli spaces.Comment: 20 pages; v2: updated references; v3: 21 pages, as published in JHE
Random Matrices and Holographic Tensor Models

We further explore the connection between holographic $O(n)$ tensor models
and random matrices. First, we consider the simplest non-trivial uncolored
tensor model and show that the results for the density of states, level spacing
and spectral form factor are qualitatively identical to the colored case
studied in arXiv:1612.06330. We also explain an overall 16-fold degeneracy by
identifying various symmetries, some of which were unavailable in SYK and the
colored models. Secondly, and perhaps more interestingly, we systematically
identify the Spectral Mirror Symmetry and the Time-Reversal Symmetry of both
the colored and uncolored models for all values of $n$, and use them to
identify the Andreev ensembles that control their random matrix behavior. We
find that the ensembles that arise exhibit a refined version of Bott
periodicity in $n$.Comment: 27 pages, 7 figures; v2: references added, minor improvements; v3:
  minor improvements, added an appendix reviewing the symmetry classification.
  Journal versio
Three-loop evolution equation for flavor-nonsinglet operators in
  off-forward kinematics

Using the approach based on conformal symmetry we calculate the three-loop
(NNLO) contribution to the evolution equation for flavor-nonsinglet leading
twist operators in the $\overline{\text{MS}}$ scheme. The explicit expression
for the three-loop kernel is derived for the corresponding light-ray operator
in coordinate space. The expansion in local operators is performed and explicit
results are given for the matrix of the anomalous dimensions for the operators
up to seven covariant derivatives. The results are directly applicable to the
renormalization of the pion light-cone distribution amplitude and
flavor-nonsinglet generalized parton distributions.Comment: 31 pages, 2 figure
Wilson lines and UV sensitivity in magnetic compactifications

We investigate the ultraviolet (UV) behaviour of 6D N=1 supersymmetric
effective (Abelian) gauge theories compactified on a two-torus ($T_2$) with
magnetic flux. To this purpose we compute offshell the one-loop correction to
the Wilson line state self-energy. The offshell calculation is actually
necessary to capture the usual effective field theory expansion in powers of
$(\partial/\Lambda)$. Particular care is paid to the regularization of the
(divergent) momentum integrals, which is relevant for identifying the
corresponding counterterm(s). We find a counterterm which is a new higher
dimensional effective operator of dimension d=6, that is enhanced for a larger
compactification area (where the effective theory applies) and is consistent
with the symmetries of the theory. Its consequences are briefly discussed and
comparison is made with orbifold compactifications without flux.Comment: 12 pages, 1 figure; (v2: added references and paragraph on page 7
Four-loop QCD propagators and vertices with one vanishing external
  momentum

We have computed the self-energies and a set of three-particle vertex
functions for massless QCD at the four-loop level in the MSbar renormalization
scheme. The vertex functions are evaluated at points where one of the momenta
vanishes. Analytical results are obtained for a generic gauge group and with
the full gauge dependence, which was made possible by extensive use of the
Forcer program for massless four-loop propagator integrals. The bare results in
dimensional regularization are provided in terms of master integrals and
rational coefficients; the latter are exact in any space-time dimension. Our
results can be used for further precision investigations of the perturbative
behaviour of the theory in schemes other than MSbar. As an example, we derive
the five-loop beta function in a relatively common alternative, the minimal
momentum subtraction (MiniMOM) scheme.Comment: 50 pages, 4 figures, 15 ancillary files available with the source;
  v2: minor changes, version accepted by JHE
On the uniqueness of the Myers-Perry spacetime as a type II(D) solution
  in six dimensions

We study the class of vacuum (Ricci flat) six-dimensional spacetimes
admitting a non-degenerate multiple Weyl aligned null direction l, thus being
of Weyl type II or more special. Subject to an additional assumption on the
asymptotic fall-off of the Weyl tensor, we prove that these spacetimes can be
completely classified in terms of the two eigenvalues of the (asymptotic) twist
matrix of l and of a discrete parameter $U^0=\pm 1/2, 0$. All solutions turn
out to be Kerr-Schild spacetimes of type D and reduce to a family of
"generalized" Myers-Perry metrics (which include limits and analytic
continuations of the original Myers-Perry black hole metric, such as certain
NUT spacetimes). A special subcase corresponds to twisting solutions with zero
shear. In passing, limits connecting various branches of solutions are briefly
discussed.Comment: 30 pages. v2: a few typos fixed, added references, minor improvements
  (results unchanged
Dynamically assisted Sauter-Schwinger effect - non-perturbative versus
  perturbative aspects

The Sauter-Schwinger effect predicts the creation of electron-positron pairs
out of the quantum vacuum by a strong and slowly varying electric field. This
effect can be dynamically assisted by an additional weaker time-dependent
field, which may drastically enhance the pair-creation probability. In previous
studies, it has been found that the enhancement may crucially depend on the
temporal shape of this weaker pulse, e.g., a Gaussian profile $\exp\{-(\omega
t)^2\}$ or a Sauter pulse $1/\cosh^2(\omega t)$ behave quite differently. In
order to understand this difference, we make a perturbative expansion in terms
of the weaker field while treating the strong electric field
non-perturbatively. For a large class of profiles including the Sauter pulse,
already the sum of the zeroth-order and the first-order amplitudes of this
perturbative expansion yields good agreement. For other cases, such as a
Gaussian or sinusoidal profile, this is not true in general and higher orders
can yield the dominant contribution - where the dominant order depends on the
chosen parameters. Our findings are confirmed by numerical simulations and help
us to sort previous results into a bigger picture.Comment: 25 pages, 6 figures. Version 2: minor changes to improve
  presentation, matches journal versio
Comments on Entanglement Propagation

We extend our work on entanglement propagation following a local quench in
2+1 dimensional holographic conformal field theories. We find that entanglement
propagates along an emergent lightcone, whose speed of propagation $v_E$ seems
distinct from other measures of quantum information spreading. We compare the
relations we find to information and hydrodynamic velocities in strongly
coupled 2+1 dimensional theories. While early-time entanglement velocities
corresponding to small entangling regions are numerically close to the
butterfly velocity, late-time entanglement velocities for large regions show
less regularity. We also generalize and extend our previous results regarding
the late-time decay of the entanglement entropy back to its equilibrium value.Comment: 20 pages, 5 figures, v2: references added, extended argument in Sec.
  3.1, v3: references added, published versio