pinecone/core-2020-05-10-deduplication huggingface dataset:
Bethe Ansatz and exact form factors of the O(N) Gross Neveu-model

We apply previous results on the O(N) Bethe Ansatz [1 to 3] to construct a
general form factor formula for the O(N) Gross-Neveu model. We examine this
formula for several operators, such as the energy momentum, the spin-field and
the current. We also compare these results with the 1/N expansion of this model
and obtain full agreement. We discuss bound state form factors, in particular
for the three particle form factor of the field. In addition for the two
particle case we prove a recursion relation for the K-functions of the higher
level Bethe Ansatz.Comment: 33 pages, minor corrections, some references have been included,
  published version. This article draws from arXiv:1308.1459 and
  arXiv:1204.347
No-go for Partially Massless Spin-2 Yang-Mills

There are various no-go results forbidding self-interactions for a single
partially massless spin-2 field. Given the photon-like structure of the linear
partially massless field, it is natural to ask whether a multiplet of such
fields can interact under an internal Yang-Mills like extension of the
partially massless symmetry. We give two arguments that such a partially
massless Yang-Mills theory does not exist. The first is that there is no
Yang-Mills like non-abelian deformation of the partially massless symmetry, and
the second is that cubic vertices with the appropriate structure constants do
not exist.Comment: 18 pages. v2 small corrections and ref
Towards gauge theories in four dimensions

The abundance of infrared singularities in gauge theories due to unresolved
emission of massless particles (soft and collinear) represents the main
difficulty in perturbative calculations. They are typically regularized in
dimensional regularization, and their subtraction is usually achieved
independently for virtual and real corrections. In this paper, we introduce a
new method based on the loop-tree duality (LTD) theorem to accomplish the
summation over degenerate infrared states directly at the integrand level such
that the cancellation of the infrared divergences is achieved simultaneously,
and apply it to reference examples as a proof of concept. Ultraviolet
divergences, which are the consequence of the point-like nature of the theory,
are also reinterpreted physically in this framework. The proposed method opens
the intriguing possibility of carrying out purely four-dimensional
implementations of higher-order perturbative calculations at next-to-leading
order (NLO) and beyond free of soft and final-state collinear subtractions.Comment: Final version to appear in JHE
Superconformal indices of generalized Argyres-Douglas theories from 2d
  TQFT

We study superconformal indices of 4d N=2 class S theories with certain
irregular punctures called type $I_{k, N}$. This class of theories include
generalized Argyres-Douglas theories of type $(A_{k-1}, A_{N-1})$ and more. We
conjecture the superconformal indices in certain simplified limits based on the
TQFT structure of the class S theories by writing an expression for the wave
function corresponding to the puncture $I_{k, N}$. We write the Schur limit of
the wave function when $k$ and $N$ are coprime. When $k=2$, we also conjecture
a closed-form expression for the Hall-Littlewood index and the Macdonald index
for odd $N$. From the index, we argue that certain short-multiplet which can
appear in the OPE of the stress-energy tensor is absent in the $(A_1, A_{2n})$
theory. We also discuss the mixed Schur indices for the N=1 class S theories
with irregular punctures.Comment: 28 pages, 2 figures, v3: corrections and simplification of some
  formula
Brane Brick Models, Toric Calabi-Yau 4-Folds and 2d (0,2) Quivers

We introduce brane brick models, a novel type of Type IIA brane
configurations consisting of D4-branes ending on an NS5-brane. Brane brick
models are T-dual to D1-branes over singular toric Calabi-Yau 4-folds. They
fully encode the infinite class of 2d (generically) N=(0,2) gauge theories on
the worldvolume of the D1-branes and streamline their connection to the probed
geometries. For this purpose, we also introduce new combinatorial procedures
for deriving the Calabi-Yau associated to a given gauge theory and vice versa.Comment: 80 pages, 53 figures. v3: Minor clarification added. Published
  versio
Correspondences between WZNW models and CFTs with W-algebra symmetry

We study theories with W-algebra symmetries and their relation to WZNW models
on (super-)groups. Correlation functions of the WZNW models are expressed in
terms of correlators of CFTs with W-algebra symmetry. The symmetries of the
theories involved in these correspondences are related by the Drinfeld-Sokolov
reduction of Lie algebras to W-algebras. The W-algebras considered in this
paper are the Bershadsky-Polyakov algebra for sl(3) and the
quasi-superconformal algebra for generic sl(N|M). The quantum W-algebras
obtained from affine sl(N) are constructed using embeddings of sl(2) into
sl(N), and these can in turn be characterized by partitions of N. The above
cases correspond to \underline{N+2} = \underline{2} + N \underline{1} and its
supergroup extension. Finally, sl(2N) and the correspondence corresponding to
\underline{2N} = N \underline{2} is also analyzed.Comment: 42 page
Scalar field as an intrinsic time measure in coupled dynamical
  matter-geometry systems. I. Neutral gravitational collapse

There does not exist a notion of time which could be transferred
straightforwardly from classical to quantum gravity. For this reason, a method
of time quantification which would be appropriate for gravity quantization is
being sought. One of the existing proposals is using the evolving matter as an
intrinsic `clock' while investigating the dynamics of gravitational systems.
The objective of our research was to check whether scalar fields can serve as
time variables during a dynamical evolution of a coupled multi-component
matter-geometry system. We concentrated on a neutral case, which means that the
elaborated system was not charged electrically nor magnetically. For this
purpose, we investigated a gravitational collapse of a self-interacting complex
and real scalar fields in the Brans-Dicke theory using the 2+2 spacetime
foliation. We focused mainly on the region of high curvature appearing nearby
the emerging singularity, which is essential from the perspective of quantum
gravity. We investigated several formulations of the theory for various values
of the Brans-Dicke coupling constant and the coupling between the Brans-Dicke
field and the matter sector of the theory. The obtained results indicated that
the evolving scalar fields can be treated as time variables in close proximity
of the singularity due to the following reasons. The constancy hypersurfaces of
the Brans-Dicke field are spacelike in the vicinity of the singularity apart
from the case, in which the equation of motion of the field reduces to the wave
equation due to a specific choice of free evolution parameters. The
hypersurfaces of constant complex and real scalar fields are spacelike in the
regions nearby the singularities formed during the examined process. The values
of the field functions change monotonically in the areas, in which the
constancy hypersurfaces are spacelike.Comment: 33 pages, 14 figure
On membrane interactions and a three-dimensional analog of Riemann
  surfaces

Membranes in M-theory are expected to interact via splitting and joining
processes. We study these effects in the pp-wave matrix model, in which they
are associated with transitions between states in sectors built on vacua with
different numbers of membranes. Transition amplitudes between such states
receive contributions from BPS instanton configurations interpolating between
the different vacua. Various properties of the moduli space of BPS instantons
are known, but there are very few known examples of explicit solutions. We
present a new approach to the construction of instanton solutions interpolating
between states containing arbitrary numbers of membranes, based on a continuum
approximation valid for matrices of large size. The proposed scheme uses
functions on a two-dimensional space to approximate matrices and it relies on
the same ideas behind the matrix regularisation of membrane degrees of freedom
in M-theory. We show that the BPS instanton equations have a continuum
counterpart which can be mapped to the three-dimensional Laplace equation
through a sequence of changes of variables. A description of configurations
corresponding to membrane splitting/joining processes can be given in terms of
solutions to the Laplace equation in a three-dimensional analog of a Riemann
surface, consisting of multiple copies of R^3 connected via a generalisation of
branch cuts. We discuss various general features of our proposal and we also
present explicit analytic solutions.Comment: 64 pages, 17 figures. V2: An appendix, a figure and references added;
  various minor changes and improvement
Two-Flavor Lattice QCD with a Finite Density of Heavy Quarks:
  Heavy-Dense Limit and "Particle-Hole" Symmetry

We investigate the properties of the half-filling point in lattice QCD
(LQCD), in particular the disappearance of the sign problem and the emergence
of an apparent particle-hole symmetry, and try to understand where these
properties come from by studying the heavy-dense fermion determinant and the
corresponding strong-coupling partition function (which can be integrated
analytically). We then add in a first step an effective Polyakov loop gauge
action (which reproduces the leading terms in the character expansion of the
Wilson gauge action) to the heavy-dense partition function and try to analyze
how some of the properties of the half-filling point change when leaving the
strong coupling limit. In a second step, we take also the leading
nearest-neighbor fermion hopping terms into account (including gauge
interactions in the fundamental representation) and mention how the method
could be improved further to incorporate the full set of nearest-neighbor
fermion hoppings. Using our mean-field method, we also obtain an approximate
($\mu$,T) phase diagram for heavy-dense LQCD at finite inverse gauge coupling
$\beta$. Finally, we propose a simple criterion to identify the chemical
potential beyond which lattice artifacts become dominant.Comment: 39 pages, 22 figure
One-point Functions in AdS/dCFT from Matrix Product States

One-point functions of certain non-protected scalar operators in the defect
CFT dual to the D3-D5 probe brane system with k units of world volume flux can
be expressed as overlaps between Bethe eigenstates of the Heisenberg spin chain
and a matrix product state. We present a closed expression of determinant form
for these one-point functions, valid for any value of k. The determinant
formula factorizes into the k=2 result times a k-dependent prefactor. Making
use of the transfer matrix of the Heisenberg spin chain we recursively relate
the matrix product state for higher even and odd k to the matrix product state
for k=2 and k=3 respectively. We furthermore find evidence that the matrix
product states for k=2 and k=3 are related via a ratio of Baxter's Q-operators.
The general k formula has an interesting thermodynamical limit involving a
non-trivial scaling of k, which indicates that the match between string and
field theory one-point functions found for chiral primaries might be tested for
non-protected operators as well. We revisit the string computation for chiral
primaries and discuss how it can be extended to non-protected operators.Comment: updated referenc
Direct measurement of alpha_QED(mZ) at the FCC-ee

When the measurements from the FCC-ee become available, an improved
determination of the standard-model "input" parameters will be needed to fully
exploit the new precision data towards either constraining or fitting the
parameters of beyond-the-standard-model theories. Among these input parameters
is the electromagnetic coupling constant estimated at the Z mass scale,
alpha_QED(mZ). The measurement of the muon forward-backward asymmetry at the
FCC-ee, just below and just above the Z pole, can be used to make a direct
determination of alpha_QED(mZ) with an accuracy deemed adequate for an optimal
use of the FCC-ee precision data.Comment: Version 4: Corrigendum added (2 pages). Accepted for publication in
  JHE
QCD phase transition at real chemical potential with canonical approach

We study the finite density phase transition in the lattice QCD at real
chemical potential. We adopt canonical approach and the canonical partition
function is constructed for Nf=2 QCD. After derivation of the canonical
partition function we calculate observables like the pressure, the quark number
density, its second cumulant and the chiral condensate as a function of the
real chemical potential. We covered a wide range of temperature region starting
from the confining low to the deconfining high temperature. We observe signals
for the deconfinement and the chiral restoration phase transition at real
chemical potential below Tc starting from the confining phase.Comment: 15 pages, 20 figure
Bounding wide composite vector resonances at the LHC

In composite Higgs models (CHMs), electroweak precision data generically push
colourless composite vector resonances to a regime where they dominantly decay
into pairs of light top partners. This greatly attenuates their traces in
canonical collider searches, tailored for narrow resonances promptly decaying
into Standard Model final states. By reinterpreting the CMS same-sign dilepton
(SS2$\ell$) analysis at the Large Hadron Collider (LHC), originally designed to
search for top partners with electric charge $5/3$, we demonstrate its
significant coverage over this kinematical regime. We also show the reach of
the 13 TeV run of the LHC, with various integrated luminosity options, for a
possible upgrade of the SS2$\ell$ search. The top sector of CHMs is found to be
more fine-tuned in the presence of colourless composite resonances in the few
TeV range.Comment: 9 pages, 5 figures. Minor corrections for publication in JHE
NLO QCD and electroweak corrections to $Z+\gamma$ production with
  leptonic Z-boson decays

The next-to-leading-order electroweak corrections to $pp\to
l^+l^-/\bar\nu\nu+\gamma+X$ production, including all off-shell effects of
intermediate Z bosons in the complex-mass scheme, are calculated for LHC
energies, revealing the typically expected large corrections of tens of percent
in the TeV range. Contributions from quark-photon and photon-photon initial
states are taken into account as well, but their impact is found to be moderate
or small. Moreover, the known next-to-leading-order QCD corrections are
reproduced. In order to separate hard photons from jets, both a quark-to-photon
fragmentation function \'a la Glover/Morgan and Frixione's cone isolation are
employed. The calculation is available in the form of Monte Carlo programs
allowing for the evaluation of arbitrary differential cross sections.
Predictions for integrated cross sections are presented for the LHC at 7 TeV, 8
TeV, and 14 TeV, and differential distributions are discussed at 14 TeV for
bare muons and dressed leptons. Finally, we consider the impact of anomalous
$ZZ\gamma$ and $Z\gamma\gamma$ couplings.Comment: 33 pages latex, 20 figures, remarks on theoretical uncertainties
  added, version to appear in JHEP. arXiv admin note: text overlap with
  arXiv:1412.742
Gauge coupling unification in a classically scale invariant model

There are a lot of works within a class of classically scale invariant model,
which is motivated by solving the gauge hierarchy problem. In this context, the
Higgs mass vanishes at the UV scale due to the classically scale invariance,
and is generated via the Coleman-Weinberg mechanism. Since the mass generation
should occur not so far from the electroweak scale, we extend the standard
model only around the TeV scale. We construct a model which can achieve the
gauge coupling unification at the UV scale. In the same way, the model can
realize the vacuum stability, smallness of active neutrino masses, baryon
asymmetry of the universe, and dark matter relic abundance. The model predicts
the existence vector-like fermions charged under $SU(3)_C$ with masses lower
than $1\,{\rm TeV}$, and the SM singlet Majorana dark matter with mass lower
than $2.6\,{\rm TeV}$.Comment: 20 pages, 6 figures, published version in JHE
Oscillation in power spectrum of primordial gravitational wave as a
  signature of higher-order stringy corrections

In low-energy effective string theory, $\alpha'$ corrections involve the
coupling of the dilaton field to Gauss-Bonnet term. We assume that the dilaton
potential is fine tuned so that the dilaton field may oscillate rapidly for a
while around the minimum of its potential but the inflation background is not
affected. By numerical method, we find that if the dilaton starts to oscillate
at the time of about $\sim 60$ e-folds before the end of inflation,
$\alpha^\prime$ correction may bring unusual oscillations to the inflationary
gravitational wave spectrum, which might be measurably imprinted in the CMB
B-mode polarization.Comment: 19 pages, 7 figures; published version in JHEP, many details
  supplemented, including 3 appendixes and 1 figure; references and comments
  added, presentation improve
Beyond Minimal Lepton Flavored Dark Matter

We consider a class of flavored dark matter (DM) theories where dark matter
interacts with the Standard Model lepton fields at the renormalizable level. We
allow for a general coupling matrix between the dark matter and leptons whose
structure is beyond the one permitted by the minimal flavor violation (MFV)
assumption. It is assumed that this is the only new source of flavor violation
in addition to the Standard Model (SM) Yukawa interactions. The setup can be
described by augmenting the SM flavor symmetry by an additional
$\mathrm{SU}(3)_{\chi}$, under which the dark matter $\chi$ transforms. This
framework is especially phenomenologically rich, due to possible novel
flavor-changing interactions which are not present within the more restrictive
MFV framework. As a representative case study of this setting, which we call
"beyond MFV" (BMFV), we consider Dirac fermion dark matter which transforms as
a singlet under the SM gauge group and a triplet under $\mathrm{SU}(3)_{\chi}$.
The DM fermion couples to the SM lepton sector through a scalar mediator
$\phi$. Unlike the case of quark-flavored DM, we show that there is no
$\mathbb{Z}_3$ symmetry within either the MFV or BMFV settings which
automatically stabilizes the lepton-flavored DM. We discuss constraints on this
setup from flavor-changing processes, DM relic abundance as well as direct and
indirect detections. We find that relatively large flavor-changing couplings
are possible, while the dark matter mass is still within the phenomenologically
interesting region below the TeV scale. Collider signatures which can be
potentially searched for at the lepton and hadron colliders are discussed.
Finally, we discuss the implications for decaying dark matter, which can appear
if an additional stabilizing symmetry is not imposed.Comment: 30 pages, 12 figures; minor corrections, added references and
  discussion on decaying dark matter, matches published versio
Galileon Higgs Vortices

Vortex solutions are topologically stable field configurations that can play
an important role in condensed matter, field theory, and cosmology. We
investigate vortex configuration in a 2+1 dimensional Abelian Higgs theory
supplemented by higher order derivative self-interactions, related with
Galileons. Our vortex solutions have features that make them qualitatively
different from well-known Abrikosov-Nielsen-Olesen configurations, since the
derivative interactions turn on gauge invariant field profiles that break axial
symmetry. By promoting the system to a 3+1 dimensional string configuration, we
study its gravitational backreaction. Our results are all derived within a
specific, analytically manageable system, and might offer indications for
understanding Galileonic interactions and screening mechanisms around
configurations that are not spherically symmetric, but only at most
cylindrically symmetric.Comment: 26 pages, 8 figure
The high-energy radiation pattern from BFKLex with double-log collinear
  contributions

We study high-energy jet production in the multi-Regge limit making use of
the Monte Carlo event generator BFKLex which includes collinear improvements in
the form of double-log contributions as presented in [1]. Making use of the
anti-kt jet algorithm in the FastJet implementation, we present results for the
average transverse momentum and azimuthal angle of the produced jets when two
tagged forward/backward jets are present in the final state. We also introduce
a new observable which accounts for the average rapidity separation among
subsequent emissions. Results are presented, for comparison, at leading order
and next-to-leading order, with the resummation of collinear double logs
proposed in [2].Comment: 12 pages, 3 figure
Quasinormal modes and holographic correlators in a crunching AdS
  geometry

We calculate frequency space holographic correlators in an asymptotically AdS
crunching background, dual to a relevant deformation of the M2-brane CFT placed
in de Sitter spacetime. For massless bulk scalars, exploiting the connection to
a solvable supersymmetric quantum mechanical problem, we obtain the exact
frequency space correlator for the dual operator in the deformed CFT.
Controlling the shape of the crunching surface in the Penrose diagram by
smoothly dialling the deformation from zero to infinity, we observe that in the
large deformation limit the Penrose diagram becomes a `square', and the exact
holographic correlators display striking similarities to their counterparts in
the BTZ black hole and its higher dimensional generalisations. We numerically
determine quasinormal poles for relevant and irrelevant operators, and find an
intricate pattern of these in the complex frequency plane. In the case of
relevant operators, the deformation parameter has an infinite sequence of
critical values, each one characterised by a pair of poles colliding and moving
away from the imaginary frequency axis with increasing deformation. In the
limit of infinite deformation all scalar operators have identical quasinormal
spectra. We compare and contrast our strongly coupled de Sitter QFT results
with strongly coupled thermal correlators from AdS black holes.Comment: 30 pages, 12 figures, typos corrected, version to appear in JHE
Non-Abelian discrete gauge symmetries in F-theory

The presence of non-Abelian discrete gauge symmetries in four-dimensional
F-theory compactifications is investigated. Such symmetries are shown to arise
from seven-brane configurations in genuine F-theory settings without a weak
string coupling description. Gauge fields on mutually non-local seven-branes
are argued to gauge both R-R and NS-NS two-form bulk axions. The gauging is
completed into a generalisation of the Heisenberg group with either additional
seven-brane gauge fields or R-R bulk gauge fields. The former case relies on
having seven-brane fluxes, while the latter case requires torsion cohomology
and is analysed in detail through the M-theory dual. Remarkably, the M-theory
reduction yields an Abelian theory that becomes non-Abelian when translated
into the correct duality frame to perform the F-theory limit. The reduction
shows that the gauge coupling function depends on the gauged scalars and
transforms non-trivially as required for the groups encountered. This field
dependence agrees with the expectations for the kinetic mixing of seven-branes
and is unchanged if the gaugings are absent.Comment: 41 page