pinecone/core-2020-05-10-deduplication huggingface dataset:
Spontaneous Breaking of Scale Invariance in a d=3 U(N) Model with
  Chern-Simons Gauge Field

We study spontaneous breaking of scale invariance in the large N limit of
three dimensional $U(N)_\kappa$ Chern-Simons theories coupled to a scalar field
in the fundamental representation. When a $\lambda_6(\phi^\dagger\cdot\phi)^3$
self interaction term is added to the action we find a massive phase at a
certain critical value for a combination of the $\lambda_6$ and 't Hooft's
$\lambda=N/\kappa$ couplings. This model attracted recent attention since at
finite $\kappa$ it contains a singlet sector which is conjectured to be dual to
Vasiliev's higher spin gravity on $AdS_4$. Our paper concentrates on the
massive phase of the 3d boundary theory. We discuss the advantage of
introducing masses in the boundary theory through spontaneous breaking of scale
invariance.Comment: 23 pages, 8 figures. several lines changed in the introduction. typos
  correcte
Iterative structure of finite loop integrals

In this paper we develop further and refine the method of differential
equations for computing Feynman integrals. In particular, we show that an
additional iterative structure emerges for finite loop integrals. As a concrete
non-trivial example we study planar master integrals of light-by-light
scattering to three loops, and derive analytic results for all values of the
Mandelstam variables $s$ and $t$ and the mass $m$. We start with a recent
proposal for defining a basis of loop integrals having uniform transcendental
weight properties and use this approach to compute all planar two-loop master
integrals in dimensional regularization. We then show how this approach can be
further simplified when computing finite loop integrals. This allows us to
discuss precisely the subset of integrals that are relevant to the problem. We
find that this leads to a block triangular structure of the differential
equations, where the blocks correspond to integrals of different weight. We
explain how this block triangular form is found in an algorithmic way. Another
advantage of working in four dimensions is that integrals of different loop
orders are interconnected and can be seamlessly discussed within the same
formalism. We use this method to compute all finite master integrals needed up
to three loops. Finally, we remark that all integrals have simple Mandelstam
representations.Comment: 26 pages plus appendices, 5 figure
Meson Life Time in the Anisotropic Quark-Gluon Plasma

In the hot (an)isotropic plasma the meson life time $\tau$ is defined as a
time scale after which the meson dissociates. According to the gauge/gravity
duality, this time can be identified with the inverse of the imaginary part of
the frequency of the quasinormal modes, $\omega_I$, in the (an)isotropic black
hole background. In the high temperature limit, we numerically show that at
fixed temperature(entropy density) the life time of the mesons
decreases(increases) as the anisotropy parameter raises. For general case, at
fixed temperature we introduce a polynomial function for $\omega_I$ and observe
that the meson life time decreases. Moreover, we realize that $(s/T^3)^6$,
where $s$ and $T$ are entropy density and temperature of the plasma
respectively, can be expressed as a function of anisotropy parameter over
temperature. Interestingly, this function is a Pad\'{e} approximant.Comment: 5 pages, 4 figures, 1 tabl
Poisson equations, higher derivative automorphic forms and string
  parameter limits

This paper considers the higher derivative terms in the effective action of
type II string theory and in particular the behaviour of the automorphic forms
they contain in all the different possible limits of the string parameters. The
automorphic forms are thought to obey Poisson equations which contain the
Laplacian defined on the coset space to which the scalars fields belong and we
compute this Laplacian in all the possible string theory limits. We also
consider these Poisson equations in the decompactification limit of a single
dimension and by making two assumptions, one on the generic form of this
equation and the other on the behaviour of the automorphic forms in this limit,
we find strong constraints on the allowed form of this differential equation.
We show that these constraints allow one to recover much of what was previously
known about the automorphic forms corresponding to terms in the effective
action that have fourteen or fewer space-time derivatives in a simple way.Comment: 47 pages, references added and typos correcte
Flux-induced Soft Terms on Type IIB/F-theory Matter Curves and
  Hypercharge Dependent Scalar Masses

Closed string fluxes induce generically SUSY-breaking soft terms on
supersymmetric type IIB orientifold compactifications with D3/D7 branes. This
was studied in the past by inserting those fluxes on the DBI+CS actions for
adjoint D3/D7 fields, where D7-branes had no magnetic fluxes. In the present
work we generalise those computations to the phenomenologically more relevant
case of chiral bi-fundamental fields laying at 7-brane intersections and
F-theory local matter curves. We also include the effect of 7-brane magnetic
flux as well as more general closed string backgrounds, including the effect of
distant (anti-)D3-branes. We discuss several applications of our results. We
find that squark/slepton masses become in general flux-dependent in F-theory
GUT's. Hypercharge-dependent non-universal scalar masses with a characteristic
sfermion hierarchy m_E^2 < m_L^2 < m_Q^2 < m_D^2 < m_U^2 are obtained. There
are also flavor-violating soft terms both for matter fields living at
intersecting 7-branes or on D3-branes at singularities. They point at a very
heavy sfermion spectrum to avoid FCNC constraints. We also discuss the possible
microscopic description of the fine-tuning of the EW Higgs boson in
compactifications with a MSSM spectrum.Comment: 67 pages, 2 figures, 2 table
The leading twist light-cone distribution amplitudes for the S-wave and
  P-wave quarkonia and their applications in single quarkonium exclusive
  productions

In this paper, we calculate twist-2 light-cone distribution amplitudes
(LCDAs) of the S-wave and P-wave quarkonia (namely $^1S_0$ state $\eta_{Q}$,
$^3S_1$ state $J/\psi(\Upsilon)$, $^1P_1$ state $h_{Q}$ and $^3P_J$ states
$\chi_{QJ}$ with $J=0,1,2$ and $Q=c,b$) to the next-leading order of the strong
coupling $\alpha_s$ and leading order of the velocity expansion $v$ in the
non-relativistic QCD (NRQCD). We apply these LCDAs to some single quarkonium
exclusive productions at large center-of-mass energy, such as $\gamma^*\to
\eta_Q\gamma, \chi_{QJ}\gamma~(J=0,1,2)$, $Z\to \eta_Q\gamma,
\chi_{QJ}\gamma~(J=0,1,2), J/\psi (\Upsilon)\gamma, h_Q\gamma$ and $h\to J/\psi
\gamma$, by adopting the collinear factorization. The asymptotic behaviors of
those processes obtained in NRQCD factorization are reproduced.Comment: 25 pages, no figure. In this updated arXiv version, we add the
  explicit NLO expression for $\phi_V^\parallel(x;\mu)$ which is missing in the
  published version in JHEP, and also correct the logarithmic term in NLO
  hard-kernel for $h\to J/\psi\gamma
BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop
  analysis

We study a family of circular BPS Wilson loops in N=6 super
Chern-Simons-matter theories, generalizing the usual 1/2-BPS circle. The scalar
and fermionic couplings depend on two deformation parameters and these
operators can be considered as the ABJ(M) counterpart of the DGRT latitudes
defined in N=4 SYM. We perform a complete two-loop analysis of their vacuum
expectation value, discuss the framing dependence and propose a general
relation with cohomologically equivalent bosonic operators. We make an all-loop
proposal for computing the Bremsstrahlung function associated to the 1/2-BPS
cusp in terms of these generalized Wilson loops. When applied to our two-loop
result it reproduces the known expression. Finally, we comment on the
generalization of this proposal to the bosonic 1/6-BPS case.Comment: 46 pages, 6 figures; references adde
Unitarity Bounds on Dark Matter Effective Interactions at LHC

The perturbative unitarity bound is studied in the monojet process at LHC.
The production of the dark matter is described by the low-energy effective
theory. The analysis of the dark matter signal is not validated, if the
unitarity condition is violated. It is shown that the current LHC analysis the
effective theory breaks down, at least, when the dark matter is lighter than
O(100) GeV. Future prospects for $\sqrt{s}$ = 14 TeV are also discussed. The
result is independent of physics in high energy scales.Comment: 14 pages, 12 figures; v2: footnotes and references are added; figures
  are slightly change
Supersymmetry Breaking Effects using the Pure Spinor Formalism of the
  Superstring

The SO(32) heterotic superstring on a Calabi-Yau manifold can spontaneously
break supersymmetry at one-loop order even when it is unbroken at tree-level.
It is known that calculating the supersymmetry-breaking effects in this model
gives a relatively accessible test case of the subtleties of superstring
perturbation theory in the RNS formalism. In the present paper, we calculate
the relevant amplitudes in the pure spinor approach to superstring perturbation
theory, and show that the regulator used in computing loop amplitudes in the
pure spinor formalism leads to subtleties somewhat analogous to the more
familiar subtleties of the RNS approach.Comment: 21 page
Exact solution of the Izergin-Korepin model with general non-diagonal
  boundary terms

The Izergin-Korepin model with general non-diagonal boundary terms, a typical
integrable model beyond A-type and without U(1)-symmetry, is studied via the
off-diagonal Bethe ansatz method. Based on some intrinsic properties of the
R-matrix and the K-matrices, certain operator product identities of the
transfer matrix are obtained at some special points of the spectral parameter.
These identities and the asymptotic behaviors of the transfer matrix together
allow us to construct the inhomogeneous T-Q relation and the associated Bethe
ansatz equations. In the diagonal boundary limit, the reduced results coincide
exactly with those obtained via other methods.Comment: 24 pages, published versio
Notes on the BMS group in three dimensions: I. Induced representations

The Bondi-Metzner-Sachs group in three dimensions is the symmetry group of
asymptotically flat three-dimensional spacetimes. It is the semi-direct product
of the diffeomorphism group of the circle with the space of its adjoint
representation, embedded as an abelian normal subgroup. The structure of the
group suggests to study induced representations; we show here that they are
associated with the well-known coadjoint orbits of the Virasoro group and
provide explicit representations in terms of one-particle states.Comment: 33 pages, LaTeX file. v3: Minimal changes in the introduction.
  Version published in JHE
Color Magnetism in Non-Abelian Vortex Matter

We propose color magnetism as a generalization of the ordinary Heisenberg
(anti-)ferro magnets on a triangular lattice. Vortex matter consisting of an
Abrikosov lattice of non-Abelian vortices with color magnetic fluxes shows a
color ferro or anti-ferro magnetism, depending on the interaction among the
vortex sites. A prime example is a non-Abelian vortex lattice in rotating dense
quark matter, showing a color ferromagnetism. We show that the low-energy
effective theory for the vortex lattice system in the color ferromagnetic phase
is described by a 3+1 dimensional $CP^{N-1}$ nonlinear sigma model with
spatially anisotropic couplings. We identify gapless excitations independent
from Tkachenko modes as color magnons, that is, Nambu-Goldstone modes
propagating in the vortex lattice with an anisotropic linear dispersion
relation $\omega_p^2 = c_{xy}^2(p_x^2+p_y^2) + c_z^2 p_z^2$. We calculate the
transition temperature between the ordered and disordered phases, and apply it
to dense quark matter. We also identify the order parameter spaces for color
anti-ferromagnets.Comment: 7 pages, no figures, published versio
A simple technique for combining simplified models and its application
  to direct stop production

The results of many LHC searches for supersymmetric particles are interpreted
using simplified models, in which one fixes the masses and couplings of most
sparticles then scans over a few remaining masses of interest. We present a new
technique for combining multiple simplified models (that requires no additional
simulation) thereby highlighting the utility and limitations of simplified
models in general, and demonstrating a simple way of improving LHC search
strategies. The technique is used to derive limits on the stop mass that are
model independent, modulo some reasonably generic assumptions which are
quantified precisely. We find that current ATLAS and CMS results exclude stop
masses up to 340 GeV for neutralino masses up to 120 GeV, provided that the
total branching ratio into channels other than top-neutralino and
bottom-chargino is small, and that there is no mass difference smaller than 10
GeV in the mass spectrum. In deriving these limits we place upper bounds on the
branching ratios for complete stop pair decay processes for many values of the
stop, neutralino and chargino masses. These are available with this paper.Comment: 25 pages, data included in source. V3: new content added, version
  accepted for publicatio
Rindler/Contracted-CFT Correspondence

Taking the flat-space limit (zero cosmological constant limit) of the
Rindler-AdS spacetime yields the Rindler metric. According to the proposal of
Flat/contracted-CFT correspondence, the flat-space limit on the bulk side of
asymptotically AdS spacetimes corresponds to the contraction of the conformal
field theory on the boundary. We use this proposal for the Rindler-AdS/CFT
correspondence and propose a dual theory for the Rindler spacetime, which is a
contracted conformal field theory (CCFT). We show that the two-dimensional CCFT
symmetries exactly predict the same two-point functions that one may find by
taking the flat-space limit of three-dimensional Rindler-AdS holographic
results. Using the Flat/CCFT proposal, we also calculate the three-dimensional
Rindler energy-momentum tensor. Since the near horizon geometry of non-extreme
black holes has a Rindler part, we note that it is plausible to find a dual
CCFT at the horizon of non-extreme black holes. By using our energy-momentum
tensor, we find the correct mass of non-rotating BTZ and show that the
Cardy-like formula for CCFT yields the Bekenstein-Hawking entropy of
non-extreme BTZ. Our current work is the first step towards describing the
entropy of non-extreme black holes in terms of CCFTs microstates which live on
the horizon.Comment: 18 pages, V2: typos corrected, published versio
Lunin-Maldacena backgrounds from the classical Yang-Baxter equation --
  Towards the gravity/CYBE correspondence

We consider \gamma-deformations of the AdS_5xS^5 superstring as Yang-Baxter
sigma models with classical r-matrices satisfying the classical Yang-Baxter
equation (CYBE). An essential point is that the classical r-matrices are
composed of Cartan generators only and then generate abelian twists. We present
examples of the r-matrices that lead to real \gamma-deformations of the
AdS_5xS^5 superstring. Finally we discuss a possible classification of
integrable deformations and the corresponding gravity solution in terms of
solutions of CYBE. This classification may be called the gravity/CYBE
correspondence.Comment: 18 pages, no figure, LaTeX, v2:references and further clarifications
  adde
Grand Unification, Axion, and Inflation in Intermediate Scale
  Supersymmetry

A class of supersymmetric grand unified theories is introduced that has a
single scale below the cutoff, that of the supersymmetry breaking masses
$\tilde{m}$. For a wide range of the dimensionless parameters, agreement with
the observed mass of the Higgs boson determines $\tilde{m} \sim 10^9-10^{13}
{\rm GeV}$, yielding Intermediate Scale Supersymmetry. We show that within this
framework it is possible for seesaw neutrino masses, axions, and inflation to
be described by the scale $\tilde{m}$, offering the possibility of a unified
origin of disparate phenomena. Neutrino masses allowing for thermal
leptogenesis can be obtained, and the axion decay constant lies naturally in
the range $f_a \sim 10^9-10^{11} {\rm GeV}$, consistent with a recent
observational suggestion of high scale inflation. A minimal $SU(5)$ model is
presented that illustrates these features. In this model, the only states at
the grand unified scale are those of the heavy gauge supermultiplet. The grand
unified partners of the Higgs doublets have a mass of order $\tilde{m}$,
leading to the dominant proton decay mode $p \rightarrow \bar{\nu} K^+$, which
may be probed in upcoming experiments. Dark matter may be winos, with mass
environmentally selected to the TeV scale, and/or axions. Gauge coupling
unification is found to be successful, especially if the wino is at the TeV
scale.Comment: 27 pages, 7 figures; minor corrections, references and discussion
  adde
On finiteness of Type IIB compactifications: Magnetized branes on
  elliptic Calabi-Yau threefolds

The string landscape satisfies interesting finiteness properties imposed by
supersymmetry and string-theoretical consistency conditions. We study N=1
supersymmetric compactifications of Type IIB string theory on smooth
elliptically fibered Calabi-Yau threefolds at large volume with magnetized
D9-branes and D5-branes. We prove that supersymmetry and tadpole cancellation
conditions imply that there is a finite number of such configurations. In
particular, we derive an explicitly computable bound on the number of magnetic
flux quanta, as well as the number of D5-branes, which is independent of the
continuous moduli of the setup. The proof applies if a number of easy to check
geometric conditions of the twofold base are met. We show that these geometric
conditions are satisfied for the almost Fano twofold bases given by each toric
variety associated to a reflexive two-dimensional polytope as well as by the
generic del Pezzo surfaces dP_n with n=0,...,8. Physically, this finiteness
proof shows that there exist a finite collection of four-dimensional gauge
groups and chiral matter spectra in the 4D supergravity theories realized by
these compactifications. As a by-product we explicitly construct all generators
of the Kaehler cones of dP_n and work out their relation to representation
theory.Comment: 49 pages, 1 figure, 5 tables. Minor corrections and improvements, a
  version to appear in JHE
Strings in AdS_4 x CP^3, Wilson loops in N=6 super Chern-Simons-matter
  and Bremsstrahlung functions

We find 1/6 BPS string configurations in AdS_4 x CP^3, which we identify as
the duals of certain 1/6 BPS circular Wilson loops in N=6 super
Chern-Simons-matter gauge theory. We use our results to verify -in the strong
coupling limit- a proposal made in arXiv:1402.4128 for a relation between the
expectation value of these Wilson loops and the Bremsstrahlung function from
deforming 1/2 BPS Wilson lines with a cusp. We also derive an analogous
relation between the expectation value of some particular 1/12 BPS Wilson loops
and the Bremsstrahlung function from deforming 1/6 BPS Wilson lines with an
internal space cusp.Comment: 25 pages, 1 figures; v2 author ordering correcte
Conductivities for Hyperscaling Violating Geometries

We show that many results about holographic conductivities in geometries with
hyperscaling violating scaling can be reproduced from simple scaling laws in
the dual field theory. We show that the electro-magnetic response of probe
branes in these systems require at least one additional scaling parameter Phi
beyond the usual dynamical exponent z and hyperscaling violating exponent
theta, as also pointed out in earlier work. We show that the scaling exponents
can be chosen in such a way that the temperature dependence of DC conductivity
and Hall angle in strange metals can be reproduced.Comment: 16 pages; v2: references added; v3: comparison to
  Einstein-Maxwell-Dilaton system added; version to appear in JHE
UV Completions of Partial Compositeness: The Case for a SU(4) Gauge
  Group

We present a model of partial compositeness arising as the IR limit of a
SU(4) gauge theory with only fermionic matter. This group is one of the most
promising ones among a handful of possible choices allowing a symmetry breaking
pattern incorporating custodial symmetry and a top partner candidate, while
retaining asymptotic freedom. It is favored for not giving rise to lepto-quarks
or Landau poles in the SM gauge couplings. The minimal UV theory consists of
five hyperfermions in the anti-symmetric representation and three in the
fundamental and anti-fundamental. The IR theory is centered around the coset
SU(5)/SO(5), with top partners in the fundamental of SO(5), giving rise to one
composite fermion of electric charge 5/3, three of charge 2/3 and one of charge
-1/3. Electro-Weak symmetry breaking occurs via top-quark-driven vacuum
misalignment. The top quark mass is generated via the mechanism of partial
compositeness, while the remaining fermions acquire a mass via a standard
quadratic coupling to the Higgs. We compute the top and bottom quark mass
matrix and the Electro-Weak currents of the composite fermions. The model does
not give rise to unacceptably large deviations from the SM Z\to b \bar b decay
width.Comment: 24 pages, 5 figure
Thermal power terms in the Einstein-dilaton system

We employ the gauge/string duality to study the thermal power terms of
various thermodynamic quantities in gauge theories and the renormalized
Polyakov loop above the deconfinement phase transition. We restrict ourselves
to the five-dimensional Einstein gravity coupled to a single scalar, the
dilaton. The asymptotic solutions of the system for a general dilaton potential
are employed to study the power contributions of various quantities. If the
dilaton is dual to the dimension-4 operator ${\rm Tr} F_{\mu\nu}^2$, no power
corrections would be generated. Then the thermal quantities approach their
asymptotic values much more quickly than those observed in lattice simulation.
When the dimension of the dual operator is different from 4, various power
terms are generated. The lowest power contributions to the thermal quantities
are always quadratic in the dilaton, while that of the Polyakov loop is linear.
As a result, the quadratic terms in inverse temperature for both the trace
anomaly and the Polyakov loop, observed in lattice simulation, cannot be
implemented consistently in the system. This is in accordance with the field
theory expectation, where no gauge-invariant operator can accommodate such
contributions. Two simple models, where the dilaton is dual to operators with
different dimensions, are studied in detail to clarify the conclusion.Comment: 25 pages, 5 figure
Covariant Quiver Gauge Theories

We consider dimensional reduction of gauge theories with arbitrary gauge
group in a formalism based on equivariant principal bundles. For the classical
gauge groups we clarify the relations between equivariant principal bundles and
quiver bundles, and show that the reduced quiver gauge theories are all
generically built on the same universal symmetry breaking pattern. The
formalism enables the dimensional reduction of Chern-Simons gauge theories in
arbitrary odd dimensionalities. The reduced model is a novel Chern-Simons-Higgs
theory consisting of a Chern-Simons term valued in the residual gauge group
plus a higher order gauge and diffeomorphism invariant coupling of Higgs fields
with the gauge fields. We study the moduli spaces of solutions, which in some
instances provide geometric representations of certain quiver varieties as
moduli spaces of flat invariant connections. As physical applications, we
consider dimensional reductions involving non-compact gauge supergroups as a
means for systematically inducing novel couplings between gravity and matter.
In particular, we reduce Chern-Simons supergravity to a quiver gauge theory of
AdS gravity involving a non-minimal coupling to scalar Higgs fermion fields.Comment: 32 pages; v2: minor corrections, reference adde