pinecone/core-2020-05-10-deduplication huggingface dataset:
Holographic Construction of Excited CFT States

We present a systematic construction of bulk solutions that are dual to CFT
excited states. The bulk solution is constructed perturbatively in bulk fields.
The linearised solution is universal and depends only on the conformal
dimension of the primary operator that is associated with the state via the
operator-state correspondence, while higher order terms depend on detailed
properties of the operator, such as its OPE with itself and generally involve
many bulk fields. We illustrate the discussion with the holographic
construction of the universal part of the solution for states of two
dimensional CFTs, either on $R \times S^1$ or on $R^{1,1}$. We compute the
1-point function both in the CFT and in the bulk, finding exact agreement. We
comment on the relation with other reconstruction approaches.Comment: 26 pages, 4 figures, v2: comments adde
Jet Shapes in Dijet Events at the LHC in SCET

We consider the class of jet shapes known as angularities in dijet production
at hadron colliders. These angularities are modified from the original
definitions in e+e- collisions to be boost invariant along the beam axis. These
shapes apply to the constituents of jets defined with respect to either
k_T-type (anti-k_T, C/A, and k_T) algorithms and cone-type algorithms. We
present an SCET factorization formula and calculate the ingredients needed to
achieve next-to-leading-log (NLL) accuracy in kinematic regions where
non-global logarithms are not large. The factorization formula involves
previously unstudied "unmeasured beam functions," which are present for finite
rapidity cuts around the beams. We derive relations between the jet functions
and the shape-dependent part of the soft function that appear in the factorized
cross section and those previously calculated for e+e- collisions, and present
the calculation of the non-trivial, color-connected part of the soft-function
to O(\alpha_s). This latter part of the soft function is universal in the sense
that it applies to any experimental setup with an out-of-jet p_T veto and
rapidity cuts together with two tagged jets and it is independent of the choice
of jet (sub-)structure measurement. In addition, we implement the recently
introduced soft-collinear refactorization to resum logarithms of the jet size,
valid in the region of non-enhanced non-global logarithm effects. While our
results are valid for all 2 \to 2 channels, we compute explicitly for the qq'
\to qq' channel the color-flow matrices and plot the NLL resummed differential
dijet cross section as an explicit example, which shows that the normalization
and scale uncertainty is reduced when the soft function is refactorized. For
this channel, we also plot the jet size R dependence, the p_T^{\rm cut}
dependence, and the dependence on the angularity parameter a.Comment: 41 pages, 4 figure
Diphoton Excess at 750 GeV in leptophobic U(1)$^\prime$ model inspired
  by $E_6$ GUT

We discuss the 750 GeV diphoton excess at the LHC@13TeV in the framework of
leptophobic U(1)$^\prime$ model inspired by $E_6$ grand unified theory (GUT).
In this model, the Standard Model (SM) chiral fermions carry charges under
extra U(1)$^\prime$ gauge symmetry which is spontaneously broken by a
U(1)$^\prime$-charged singlet scalar ($\Phi$). In addition, extra quarks and
leptons are introduced to achieve the anomaly-free conditions, which is a
natural consequence of the assumed $E_6$ GUT. These new fermions are vectorlike
under the SM gauge group but chiral under new U(1)$^\prime$, and their masses
come entirely from the nonzero vacuum expectation value of $\Phi$ through the
Yukawa interactions. Then, the CP-even scalar $h_\Phi$ from $\Phi$ can be
produced at the LHC by the gluon fusion and decay to the diphoton via the
one-loop diagram involving the extra quarks and leptons, and can be identified
as the origin of diphoton excess at 750 GeV. In this model, $h_\Phi$ can decay
into a pair of dark matter particles as well as a pair of scalar bosons,
thereby a few tens of the decay width may be possible.Comment: 21 pages, 4 figures. Published versio
One-loop contributions to neutral minima in the inert doublet model

The vacuum structure of the inert doublet model is analysed at the one-loop
level using the effective potential formalism, to verify the validity of
tree-level predictions for the properties of the global minimum. An inert
minimum (with massive fermions) and an inert-like minimum (with massless
fermions) can coexist at tree level. But the one-loop analysis reveals that the
allowed parameter space for the coexistence of more than one minimum is larger
than the tree-level expected one. It is also shown that for some choices of
parameters, the global minimum found at the one-loop level may be inert (or
inert-like), contrary to what the tree-level analysis indicates.Comment: 30 pages, 6 figures, v2: one reference added, v3: one figure and some
  comments added, matches published versio
On Gauge Enhancement and Singular Limits in $G_2$ Compactifications of
  M-theory

We study the physics of singular limits of $G_2$ compactifications of
M-theory, which are necessary to obtain a compactification with non-abelian
gauge symmetry or massless charged particles. This is more difficult than for
Calabi-Yau compactifications, due to the absence of calibrated two-cycles that
would have allowed for direct control of W-boson masses as a function of
moduli. Instead, we study the relationship between gauge enhancement and
singular limits in $G_2$ moduli space where an associative or coassociative
submanifold shrinks to zero size; this involves the physics of topological
defects and sometimes gives indirect control over particle masses, even though
they are not BPS. We show how a lemma of Joyce associates the class of a
three-cycle to any $U(1)$ gauge theory in a smooth $G_2$ compactification. If
there is an appropriate associative submanifold in this class then in the limit
of nonabelian gauge symmetry it may be interpreted as a gauge theory
worldvolume and provides the location of the singularities associated with
non-abelian gauge or matter fields. We identify a number of gauge enhancement
scenarios related to calibrated submanifolds, including Coulomb branches and
non-isolated conifolds, and also study examples that realize them.Comment: 41 pages plus references and appendices. v2: references added. v3:
  JHEP versio
Energy loss, equilibration, and thermodynamics of a baryon rich strongly
  coupled quark-gluon plasma

Lattice data for the QCD equation of state and the baryon susceptibility near
the crossover phase transition (at zero baryon density) are used to determine
the input parameters of a 5-dimensional Einstein-Maxwell-Dilaton holographic
model that provides a consistent holographic framework to study both
equilibrium and out-of-equilibrium properties of a hot and {\it baryon rich}
strongly coupled quark-gluon plasma (QGP). We compare our holographic equation
of state computed at nonzero baryon chemical potential, $\mu_B$, with recent
lattice calculations and find quantitative agreement for the pressure and the
speed of sound for $\mu_B \leq 400$ MeV. This holographic model is used to
obtain holographic predictions for the temperature and $\mu_B$ dependence of
the drag force and the Langevin diffusion coefficients associated with heavy
quark jet propagation as well as the jet quenching parameter $\hat{q}$ and the
shooting string energy loss of light quarks in the baryon dense plasma. We find
that the energy loss of heavy and light quarks generally displays a nontrivial,
fast-varying behavior as a function of the temperature near the crossover.
Moreover, energy loss is also found to generally increase due to nonzero baryon
density effects even though this strongly coupled liquid cannot be described in
terms of well defined quasiparticle excitations. Furthermore, to get a glimpse
of how thermalization occurs in a hot and baryon dense QGP, we study how the
lowest quasinormal mode of an external massless scalar disturbance in the bulk
is affected by a nonzero baryon charge. We find that the equilibration time
associated with the lowest quasinormal mode decreases in a dense medium.Comment: 51 pages, 14 figures, corrected results for the Langevin
  coefficients, appendix and references added. Version accepted for publication
  in JHE
Dense Chern-Simons Matter with Fermions at Large N

In this paper we investigate properties of Chern-Simons theory coupled to
massive fermions in the large N limit. We demonstrate that at low temperatures
the system is in a Fermi liquid state whose features can be systematically
compared to the standard phenomenological theory of Landau Fermi liquids. This
includes matching microscopically derived Landau parameters with thermodynamic
predictions of Landau Fermi liquid theory. We also calculate the exact
conductivity and viscosity tensors at zero temperature and finite chemical
potential. In particular we point out that the Hall conductivity of an
interacting system is not entirely accounted for by the Berry flux through the
Fermi sphere. Furthermore, investigation of the thermodynamics in the
non-relativistic limit reveals novel phenomena at strong coupling. As the 't
Hooft coupling approaches 1, the system exhibits an extended intermediate
temperature regime in which the thermodynamics is described by neither the
quantum Fermi liquid theory nor the classical ideal gas law. Instead, it can be
interpreted as a weakly coupled quantum Bose gas
Phase Space Distribution for Two-Gap Solution in Unitary Matrix Model

We analyze the dynamics of weakly coupled finite temperature $U(N)$ gauge
theories on $S^3$ by studying a class of effective unitary matrix model.
Solving Dyson-Schwinger equation at large $N$, we find that different phases of
gauge theories are characterized by gaps in eigenvalue distribution over a unit
circle. In particular, we obtain no-gap, one-gap and two-gap solutions at large
$N$ for a class of matrix model we are considering. The same effective matrix
model can equivalently be written as a sum over representations (or Young
diagrams) of unitary group. We show that at large $N$, Young diagrams
corresponding to different phases can be classified in terms of discontinuities
in number of boxes in two consecutive rows. More precisely, the representation,
where there is no discontinuity, corresponds to no-gap and one-gap solution,
where as, a diagram with one discontinuity corresponds to two-gap phase,
mentioned above. This observation allows us to write a one to one relation
between eigenvalue distribution function and Young tableaux distribution
function for each saddle point, in particular for two-gap solution. We find
that all the saddle points can be described in terms of free fermions with a
phase space distribution for no-gap, one-gap and two-gap phases.Comment: 51 pages, 16 figure
Entanglement entropy of excited states in conformal perturbation theory
  and the Einstein equation

For a conformal field theory (CFT) deformed by a relevant operator, the
entanglement entropy of a ball-shaped region may be computed as a perturbative
expansion in the coupling. A similar perturbative expansion exists for excited
states near the vacuum. Using these expansions, this work investigates the
behavior of excited state entanglement entropies of small, ball-shaped regions.
The motivation for these calculations is Jacobson's recent work on the
equivalence of the Einstein equation and the hypothesis of maximal vacuum
entropy [arXiv:1505.04753], which relies on a conjecture stating that the
behavior of these entropies is sufficiently similar to a CFT. In addition to
the expected type of terms which scale with the ball radius as $R^d$, the
entanglement entropy calculation gives rise to terms scaling as $R^{2\Delta}$,
where $\Delta$ is the dimension of the deforming operator. When
$\Delta\leq\frac{d}{2}$, the latter terms dominate the former, and suggest that
a modification to the conjecture is needed.Comment: 31 pages + appendices and references, 2 figure
NLO-QCD corrections to Higgs pair production in the MSSM

We take a step towards a complete NLO-QCD determination of the production of
a pair of Higgs scalars in the MSSM. Exploiting a low-energy theorem that
connects the Higgs-gluon interactions to the derivatives of the gluon
self-energy, we obtain analytic results for the one- and two-loop squark
contributions to Higgs pair production in the limit of vanishing external
momenta. We find that the two-loop squark contributions can have non-negligible
effects in MSSM scenarios with stop masses below the TeV scale. We also show
how our results can be adapted to the case of Higgs pair production in the
NMSSM.Comment: 32 pages, 2 figures, v2: version to appear in JHE
Boundary Conditions and Partition Functions in Higher Spin
  AdS$_3$/CFT$_2$

We discuss alternative definitions of the semiclassical partition function in
two-dimensional CFTs with higher spin symmetry, in the presence of sources for
the higher spin currents. Theories of this type can often be described via
Hamiltonian reduction of current algebras, and a holographic description in
terms of three-dimensional Chern-Simons theory with generalized AdS boundary
conditions becomes available. By studying the CFT Ward identities in the
presence of non-trivial sources, we determine the appropriate choice of
boundary terms and boundary conditions in Chern-Simons theory for the various
types of partition functions considered. In particular, we compare the
Chern-Simons description of deformations of the field theory Hamiltonian versus
those encoding deformations of the CFT action. Our analysis clarifies various
issues and confusions that have permeated the literature on this subject.Comment: 42 pages + appendice
Computation of Contour Integrals on ${\cal M}_{0,n}$

Contour integrals of rational functions over ${\cal M}_{0,n}$, the moduli
space of $n$-punctured spheres, have recently appeared at the core of the
tree-level S-matrix of massless particles in arbitrary dimensions. The contour
is determined by the critical points of a certain Morse function on ${\cal
M}_{0,n}$. The integrand is a general rational function of the puncture
locations with poles of arbitrary order as two punctures coincide. In this note
we provide an algorithm for the analytic computation of any such integral. The
algorithm uses three ingredients: an operation we call general KLT, Petersen's
theorem applied to the existence of a 2-factor in any 4-regular graph and
Hamiltonian decompositions of certain 4-regular graphs. The procedure is
iterative and reduces the computation of a general integral to that of simple
building blocks. These are integrals which compute double-color-ordered partial
amplitudes in a bi-adjoint cubic scalar theory.Comment: 36+11 p
Deconfinement on $\mathbb R^2\times S^1_L\times S^1_{\beta}$ for all
  gauge groups and duality to double Coulomb Gas

I study finite-temperature $\mathcal N=1$ super Yang-Mills for any gauge
group $G=A_N, B_N, C_N, D_N, E_{6,7,8},F_4,G_2$, compactified from four
dimensions on a torus, $\mathbb R^2\times S^1_L\times S^1_{\beta}$. I examine
in particular the low temperature regime $L\ll\beta=1/T$, where $L$ is the
length of the spatial circle with periodic boundary conditions and with
anti-periodic boundary conditions for the adjoint gauginos along the thermal
cycle $S^1_{\beta}$. For small such $L$ we are in a regime were semiclassical
calculations can be performed and a transition occurs at $T_c$ much smaller
than $1/NL$. The transition is mediated by the competition between
non-perturbative objects including 'exotic' topological molecules: neutral and
magnetic bions composed of BPS and KK monopole constituents, with $r=rank(G)$
different charges in the co-root lattice of the gauge group $G$, and the
perturbative electrically charged W-bosons (along with their wino
superpartners). I determine a duality to a double Coulomb gas of neutral and
magnetic bions of different charges of their constituent monopole-instantons,
and W-bosons of both scalar and electric charges. Aharanov-Bohm interactions
exist between magnetic bions and W-bosons, and scalar charges of W-bosons and
neutral bions attract like charges, as opposed to the magnetic and electric
charges where like charges repel. It is hoped in the future that lattice
studies of this Coulomb gas can be done as in [1] for all gauge groups. It is
hoped that a dual lattice 'affine' XY model with symmetry breaking
perturbations can also be found in future studies of general gauge group as
done in [1] for $SU(2)$.Comment: 40 pages, 0 figure
Matching effective chiral Lagrangians with dimensional and lattice
  regularization

We compute the free energy in the presence of a chemical potential coupled to
a conserved charge in effective O($n$) scalar field theory (without explicit
symmetry breaking terms) to NNL order for asymmetric volumes in general
$d$--dimensions, using dimensional (DR) and lattice regularizations. This
yields relations between the 4-derivative couplings appearing in the effective
actions for the two regularizations, which in turn allows us to translate
results, e.g. the mass gap in a finite periodic box in $d=3+1$ dimensions, from
one regularization to the other. Consistency is found with a new direct
computation of the mass gap using DR. For the case $n=4, d=4$ the model is the
low-energy effective theory of QCD with $N_{\rm f}=2$ massless quarks. The
results can thus be used to obtain estimates of low energy constants in the
effective chiral Lagrangian from measurements of the low energy observables,
including the low lying spectrum of $N_{\rm f}=2$ QCD in the $\delta$--regime
using lattice simulations, as proposed by Peter Hasenfratz, or from the
susceptibility corresponding to the chemical potential used.Comment: 47 pages, no figures; dedication added and a typo correcte
D-instantons in Klebanov-Witten model

We study D-instanton solutions in type IIB supergravity on $AdS_5\times
T^{1,1}$, which has a dual ${\cal N}=1$ $SU(N)\times SU(N)$ super Yang-Mills
theory. Apart from ordinary D(-1)-brane instantons, we discuss wrapped
D1-branes over minimal 2-cycles and derive explicit solutions preserving half
the supersymmetries. These solutions are identified with Yang-Mills instantons
which are (anti)self-dual in both gauge group factors with instanton charge
$(k,k')$. By examining the boundary behaviour of the solutions we discuss the
coupling to the corresponding dual boundary operators, and identify their
vacuum expectation values. We also discuss the boundary terms and compute the
action for these solutions.Comment: 14 pages, minor changes and improvement
Membrane Paradigm, Gravitational $\Theta$-Term and Gauge/Gravity Duality

Following the membrane paradigm, we explore the effect of the gravitational
$\Theta$-term on the behavior of the stretched horizon of a black hole in
(3+1)-dimensions. We reformulate the membrane paradigm from a quantum
path-integral point of view where we interpret the macroscopic properties of
the horizon as effects of integrating out the region inside the horizon. The
gravitational $\Theta$-term is a total derivative, however, using our framework
we show that this term affects the transport properties of the horizon. In
particular, the horizon acquires a third order parity violating, dimensionless
transport coefficient which affects the way localized perturbations scramble on
the horizon. Then we consider a large-N gauge theory in (2+1)-dimensions which
is dual to an asymptotically AdS background in (3+1)-dimensional spacetime to
show that the $\Theta$-term induces a non-trivial contact term in the
energy-momentum tensor of the dual theory. As a consequence, the dual gauge
theory in the presence of the $\Theta$-term acquires the same third order
parity violating transport coefficient.Comment: 28+9 pages; minor changes, conclusions unchange
Towards 1/N corrections to deep inelastic scattering from the
  gauge/gravity duality

$1/N^2$ corrections to deep inelastic scattering (DIS) of charged leptons
from glueballs at strong coupling are investigated in the framework of the
gauge/gravity duality. The structure functions $F_1$ and $F_2$ (and also $F_L$)
are studied at subleading order in the $1/N^2$ expansion, in terms of $q^2$ and
the Bjorken parameter $x$. The relevant type IIB supergravity one-loop diagrams
(which correspond to DIS with two-hadron final states) are studied in detail,
while $n$-loop diagrams (corresponding to DIS with $(n+1)$-hadron final states)
are briefly discussed. The $1/N^{2n}$ and $\Lambda^2/q^2$ dependence of the
structure functions is analyzed. Within this context two very different limits
are considered: one is the large $N$ limit and the other one is when the
virtual photon momentum transfer $q$ is much larger than the infrared confining
scale $\Lambda$. These limits do not commute.Comment: 45 page
Holographic Entanglement Entropy Close to Quantum Phase Transitions

We investigate the holographic entanglement entropy (HEE) of a strip geometry
in four dimensional Q-lattice backgrounds, which exhibit metal-insulator
transitions in the dual field theory. Remarkably, we find that the HEE always
displays a peak in the vicinity of the quantum critical points. Our model
provides the first direct evidence that the HEE can be used to characterize the
quantum phase transition (QPT). We also conjecture that the maximization
behavior of HEE at quantum critical points would be universal in general
holographic models.Comment: 10 pages, 4 figure
Second order effect of twist deformation in the D1D5 CFT

Thermalization in the D1D5 CFT should occur via interactions caused by the
twist operator, which deforms the theory off its free orbifold point. Earlier
studies investigating this deformation at first order did not show any definite
evidence of thermalization. In this paper we study the deformation to second
order, where we do expect to see the effects that should give thermalization.
We compute the effect of two twist operators on an initial vacuum state, which
generates a squeezed state analogous to the case for a single twist. We obtain
expressions for the Bogoliubov coefficients in this 2-twist case.Comment: 7 Figures, 58 page
Probing top-antitop resonances with $t\bar{t}$ scattering at LHC14

We explore the sensitivity of the LHC at 14 TeV centre-of-mass energy (LHC14)
to the single production and decay of top-antitop resonances in the four-top
final state. We focus on the same-sign dilepton channel, and work within a
simplified model with a vector boson coupling to the Standard Model only via
its interactions with right-handed top quarks. We find it is possible to
discover (exclude) such a vector boson with 300 fb$^{-1}$ of integrated
luminosity up to a mass of 1.2 (1.6) TeV for a modest coupling to tops of
$g_\rho$=2. We present our results as an exclusion limit on the
cross-section$\times$branching ratio for ease of recasting, and interpret them
in the context of the gauge-singlet vector boson $\rho_X$ present in many
simple Composite Higgs theories
Large Non-Gaussianity in Slow-Roll Inflation

Canonical models of single-field, slow-roll inflation do not lead to
appreciable non-Gaussianity, unless derivative interactions of the inflaton
become uncontrollably large. We propose a novel slow-roll scenario where scalar
perturbations propagate at a subluminal speed, leading to sizeable equilateral
non-Gaussianity, $f^{\rm equil}_{\rm NL}\propto 1/c_s^4$, largely insensitive
to the ultraviolet physics. The model is based on a low-energy effective theory
characterized by weakly broken invariance under internal galileon
transformations, $\phi\to\phi+b_\mu x^\mu$, which protects the properties of
perturbations from large quantum corrections. This provides the unique
alternative to models such as DBI inflation in generating strongly
subluminal/non-Gaussian scalar perturbations.Comment: 5 page