pinecone/core-2020-05-10-deduplication huggingface dataset:
Isomonodromic $\tau$-functions and $W_N$ conformal blocks

We study the solution of the Schlesinger system for the 4-point
$\mathfrak{sl}_N$ isomonodromy problem and conjecture an expression for the
isomonodromic $\tau$-function in terms of 2d conformal field theory beyond the
known $N=2$ Painlev\'e VI case. We show that this relation can be used as an
alternative definition of conformal blocks for the $W_N$ algebra and argue that
the infinite number of arbitrary constants arising in the algebraic
construction of $W_N$ conformal block can be expressed in terms of only a
finite set of parameters of the monodromy data of rank $N$ Fuchsian system with
three regular singular points. We check this definition explicitly for the
known conformal blocks of the $W_3$ algebra and demonstrate its consistency
with the conjectured form of the structure constants.Comment: 22 pages, 7 figures; version to appear in JHE
On Holographic Insulators and Supersolids

We obtain holographic realizations for systems that have strong similarities
to Mott insulators and supersolids, after examining the ground states of
Einstein-Maxwell-scalar systems. The real part of the AC conductivity has a
hard gap and a discrete spectrum only. We add momentum dissipation to resolve
the delta function in the conductivity due to translational invariance. We
develop tools to directly calculate the Drude weight for a large class of
solutions and to support our claims. Numerical RG flows are also constructed to
verify that such saddle points are IR fixed points of asymptotically AdS_4
geometries.Comment: 52 pages, jheppub, 15 figures; v2: minor corrections, references
  adde
Hadron mass corrections in semi-inclusive deep-inelastic scattering

The spin-dependent cross sections for semi-inclusive lepton-nucleon
scattering are derived in the framework of collinear factorization, including
the effects of masses of the target and produced hadron at finite momentum
transfer squared Q^2. At leading order the cross sections factorize into
products of parton distribution and fragmentation functions evaluated in terms
of new, mass-dependent scaling variables. The size of the hadron mass
corrections is estimated at kinematics relevant for future semi-inclusive
deep-inelastic scattering experiments.Comment: 28 pages, 12 figures, published versio
Entanglement Entropy of Magnetic Electron Stars

We study the behavior of the entanglement entropy in $(2+1)$--dimensional
strongly coupled theories via the AdS/CFT correspondence. We consider theories
at a finite charge density with a magnetic field, with their holographic dual
being Einstein-Maxwell-Dilaton theory in four dimensional anti--de Sitter
gravity. Restricting to black hole and electron star solutions at zero
temperature in the presence of a background magnetic field, we compute their
holographic entanglement entropy using the Ryu-Takayanagi prescription for both
strip and disk geometries. In the case of the electric or magnetic zero
temperature black holes, we are able to confirm that the entanglement entropy
is invariant under electric-magnetic duality. In the case of the electron star
with a finite magnetic field, for the strip geometry, we find a discontinuity
in the first derivative of the entanglement entropy as the strip width is
increased.Comment: 30 pages, 15 figures; updated to match the published version; new
  figure added for part of the phase diagram, references updated, typos fixed,
  clarification and additional explanations added in the introduction and
  section
Erratum to: A hybrid strong/weak coupling approach to jet quenching

After the publication of this work we have found a small mistake in our implementation of the Glauber Monte-Carlo for the collision geometry, which resulted in an incorrect distribution of the points in the transverse plane at which our jets were created, for collisions within each centrality bin. After correcting this, the fitted values of κ[subscript s]c, κ[subscript rad] and κ[subscript coll] in the current version of this paper are slightly smaller than previously reported. This correction also results in small (hardly visible) changes to all the plots in this paper, which we have corrected. Neither the changes to the fitted values of the κ’s nor the changes to the figures affect any discussion or any conclusions of this work; we have made no changes to the wording in any discussion of any figure or result. We have also reduced the p[subscript T]-cut of our PYTHIA simulations from 70 GeV to 50 GeV to further reduce the sensitivity of our computations to this cut.United States. Department of Energy (cooperative research agreement DE-FG0205ER41360
Non-minimal scalar multiplets, supersymmetry breaking and dualities

We study supersymmetry breaking in theories with non-minimal multiplets (such
as the complex linear or CNM multiplets), by using superspace higher derivative
terms which give rise to new supersymmetry breaking vacuum solutions on top of
the standard supersymmetric vacuum. We illustrate the decoupling of the
additional massive sectors inside the complex linear and the CNM multiplets and
show that only the Goldstino sector is left in the low energy limit. We also
discuss the duality between non-minimal scalar multiplets and chiral multiplets
in the presence of superspace higher derivatives. From the superspace Noether
procedure we calculate the supercurrents, and we show that in the supersymmetry
breaking vacuum the chiral superfield X which enters the Ferrara-Zumino
supercurrent conservation equation does indeed flow in the IR to the chiral
constrained Goldstino superfield. We also provide a description of the
Goldstino sector in terms of the Samuel-Wess superfield for the supersymmetry
breaking mechanism at hand.Comment: 31 pages. v4: discussion and references adde
Perturbative entanglement entropy in nonlocal theories

Entanglement entropy in the vacuum state of local field theories exhibits an
area law. However, nonlocal theories at large N and strong coupling violate
this area law. In these theories, the leading divergence in the entanglement
entropy is extensive for regions smaller than the effective nonlocality scale
and proportional to this effective nonlocality scale for regions larger than
it. This raises the question: is a volume law a generic feature of nonlocal
theories, or is it only present at strong coupling and large N?
  This paper investigates entanglement entropy of large regions in weakly
coupled nonlocal theories, to leading order in the coupling. The two theories
studied are phi^4 theory on the noncommutative plane and phi^4 theory with a
dipole type nonlocal modification using a fixed nonlocality scale. Both
theories are found to follow an area law to first order in the coupling, hence
no evidence is found for a volume law. This indicates that, perturbatively the
nonlocal interactions considered are not generating sufficient entanglement at
distances of the nonlocality scale to change the leading divergence, at least
to first order in the coupling. An argument against volume laws at higher
orders is also presented.Comment: 25 pages, 3 figures; v2 added reference
Killing(-Yano) Tensors in String Theory

We construct the Killing(-Yano) tensors for a large class of charged black
holes in higher dimensions and study general properties of such tensors, in
particular, their behavior under string dualities. Killing(-Yano) tensors
encode the symmetries beyond isometries, which lead to insights into dynamics
of particles and fields on a given geometry by providing a set of conserved
quantities. By analyzing the eigenvalues of the Killing tensor, we provide a
prescription for constructing several conserved quantities starting from a
single object, and we demonstrate that Killing tensors in higher dimensions are
always associated with ellipsoidal coordinates. We also determine the
transformations of the Killing(-Yano) tensors under string dualities, and find
the unique modification of the Killing-Yano equation consistent with these
symmetries. These results are used to construct the explicit form of the
Killing(-Yano) tensors for the Myers-Perry black hole in arbitrary number of
dimensions and for its charged version.Comment: 87 pages. V2: typos are corrected, appendix C and references are
  added. V3: several typos are fixe
BPS black holes in a non-homogeneous deformation of the stu model of N = 2, D = 4 gauged supergravity

We consider a deformation of the well-known stu model of N = 2, D = 4 supergravity, characterized by a non-homogeneous special Kähler manifold, and by the smallest electric-magnetic duality Lie algebra consistent with its upliftability to five dimensions. We explicitly solve the BPS attractor equations and construct static supersymmetric black holes with radial symmetry, in the context of U(1) dyonic Fayet-Iliopoulos gauging, focussing on axion-free solutions. Due to non-homogeneity of the scalar manifold, the model evades the analysis recently given in the literature. The relevant physical properties of the resulting black hole solution are discussed
Higgs portal valleys, stability and inflation

Journal of High Energy Physics 2015.9 (2015): 210 reproduced by permission of Scuola Internazionale Superiore di Studi Avanzati (SISSA)The measured values of the Higgs and top quark masses imply that the Standard Model potential is very likely to be unstable at large Higgs values. This is particularly problematic during inflation, which sources large perturbations of the Higgs. The instability could be cured by a threshold effect induced by a scalar with a large vacuum expectation value and directly connected to the Standard Model through a Higgs portal coupling. However, we find that in a minimal model in which the scalar generates inflation, this mechanism does not stabilize the potential because the mass required for inflation is beyond the instability scale. This conclusion does not change if the Higgs has a direct weak coupling to the scalar curvature. On the other hand, if the potential is absolutely stable, successful inflation in agreement with current CMB data can occur along a valley of the potential with a Mexican hat profile. We revisit the stability conditions, independently of inflation, and clarify that the threshold effect cannot work if the Higgs portal coupling is too small. We also show that inflation in a false Higgs vacuum appearing radiatively for a tuned ratio of the Higgs and top masses leads to an amplitude of primordial gravitational waves that is far too high, ruling out this possibilityGB thanks Perimeter Institute for hospitality at the very beginning of this work. Research
at Perimeter Institute is supported in part by the Government of Canada through Industry
Canada, and by the Province of Ontario through the Ministry of Research and Information
(MRI). GB thanks as well the Departament de Física Fondamental at the Universitat
de Barcelona and the CERN Theory Division for hospitality at different stages of this
work. CT acknowledges support of the Spanish Government through grant FPA2011-24568 (MICINN), and thanks Rhorry Gauld and Anupam Mazumdar for useful conversations. GB thanks Brando Bellazzini, Alberto Casas, Mikael Chala, José Ramón Espinosa, Mathias Garny, Gian Giudice and Felix Kahlhoefer for valuable discussions and comments on a draft version of this work. We also thank Isabella Masina and Alessio Notari for useful exchange
Cosmological particle production at strong coupling

We study the dynamics of a strongly-coupled quantum field theory in a cosmological spacetime using the holographic AdS/CFT correspondence. Specifically we consider a confining gauge theory in an expanding FRW universe and track the evolution of the stress-energy tensor during a period of expansion, varying the initial temperature as well as the rate and amplitude of the expansion. At strong coupling, particle production is inseparable from entropy production. Consequently, we find significant qualitative differences from the weak coupling results: at strong coupling the system rapidly loses memory of its initial state as the amplitude is increased. Furthermore, in the regime where the Hubble parameter is much smaller than the initial temperature, the dynamics is well-modelled as a plasma evolving hydrodynamically
Putting a Stop to di-Higgs Modifications

Pair production of Higgs bosons at hadron colliders is an enticing channel to
search for new physics. New colored particles that couple strongly to the
Higgs, such as those most often called upon to address the hierarchy problem,
provide well motivated examples in which large enhancements of the di-Higgs
rate are possible, at least in principle. However, in such scenarios the
di-Higgs production rate is tightly correlated with the single Higgs production
rate and, since the latter is observed to be SM-like, one generally expects
that only modest enhancements in di-Higgs production are allowed by the LHC Run
1 data. We examine the contribution of top squarks (stops) in a simplified
supersymmetry model to di-Higgs production and find that this general
expectation is indeed borne out. In particular, the allowed deviations are
typically small, but there are tuned regions of parameter space where
expectations based on EFT arguments break down in which order 100% enhancements
to the di-Higgs production rate are possible and are simultaneously consistent
with the observed single Higgs production rates. These effects are potentially
observable with the high luminosity run of the LHC or at a future hadron
collider.Comment: 16 pages + refrences; v2 updated references; v3 Published versio
Butterflies from Information Metric

We study time evolution of distance between thermal states excited by local
operators, with different external couplings. We find that growth of the
distance implies growth of commutators of operators, signifying the local
excitations are scrambled. We confirm this growth of distance by holographic
computation, by evaluating volume of codimension 1 extremal volume surface. We
find that the distance increases exponentially as $e^{\frac{2\pi t}{\beta}}$.
Our result implies that, in chaotic system, trajectories of excited thermal
states exhibit high sensitivity to perturbation to the Hamiltonian, and the
distance between them will be significant at the scrambling time. We also
confirm the decay of two point function of holographic Wilson loops on
thermofield double state.Comment: 10 pages, 3 figures, reference added, minor modification
Dyonic AdS_4 black hole entropy and attractors via entropy function

Using the Sen's entropy function formalism, we compute the entropy for the
extremal dyonic black hole solutions of theories in the presence of dilaton
field coupled to the field strength and a dilaton potential. We solve the
attractor equations analytically and determine the near horizon metric, the
value of the scalar fields and the electric field on the horizon, and
consequently the entropy of these black holes. The attractor mechanism plays a
very important role for these systems, and after studying the simplest systems
involving dilaton fields, we propose a general ansatz for the value of the
scalar field on the horizon, which allows us to solve the attractor equations
for gauged supergravity theories in $AdS_4$ spaces. In particular, we derive an
expression for the dyonic black hole entropy for the $\mathcal{N}=8$ gauged
supergravity in 4 dimensions which does not contain explicitly the gauge
parameter of the potential.Comment: 17 pages, no figures. Published versio
Precision direct photon spectra at high energy and comparison to the 8
  TeV ATLAS data

The direct photon spectrum is computed to the highest currently available
precision and compared to ATLAS data from 8 TeV collisions at the LHC. The
prediction includes threshold resummation at next-to-next-to-next-to-leading
logarithmic order through the program PeTeR, matched to next-to-leading fixed
order with fragmentation effects using JetPhox and includes the resummation of
leading-logarithmic electroweak Sudakov effects. Remarkably, improved agreement
with data can be seen when each component of the calculation is added
successively. This comparison demonstrates the importance of both threshold
logs and electroweak Sudakov effects. Numerical values for the predictions are
included.Comment: 18 pages, 22 plots, 4 table
Planar Zeros in Gauge Theories and Gravity

Planar zeros are studied in the context of the five-point scattering
amplitude for gauge bosons and gravitons. In the case of gauge theories, it is
found that planar zeros are determined by an algebraic curve in the projective
plane spanned by the three stereographic coordinates labelling the direction of
the outgoing momenta. This curve depends on the values of six independent color
structures. Considering the gauge group SU(N) with N=2,3,5 and fixed color
indices, the class of curves obtained gets broader by increasing the rank of
the group. For the five-graviton scattering, on the other hand, we show that
the amplitude vanishes whenever the process is planar, without imposing further
kinematic conditions. A rationale for this result is provided using
color-kinematics duality.Comment: 26 pages, 12 figures. v2: minor changes, typos corrected and
  reference added. It matches the version to appear in Journal of High Energy
  Physic
The quantum 1/2 BPS Wilson loop in ${\cal N}=4$ Chern-Simons-matter
  theories

In three dimensional ${\cal N}=4$ Chern-Simons-matter theories two
independent fermionic Wilson loop operators can be defined, which preserve half
of the supersymmetry charges and are cohomologically equivalent at classical
level. We compute their three-loop expectation value in a convenient color
sector and prove that the degeneracy is uplifted by quantum corrections. We
expand the matrix model prediction in the same regime and by comparison we
conclude that the quantum 1/2 BPS Wilson loop is the average of the two
operators. We provide an all-loop argument to support this claim at any order.
As a by-product, we identify the localization result at three loops as a
correction to the framing factor induced by matter interactions. Finally, we
comment on the quantum properties of the non-1/2 BPS Wilson loop operator
defined as the difference of the two fermionic ones.Comment: 22 pages + appendixes, 4 figures, 1 Tabl
Fermionic Correlators from Integrability

We study three-point functions of single-trace operators in the su(1|1)
sector of planar N = 4 SYM borrowing several tools based on Integrability. In
the most general configuration of operators in this sector, we have found a
determinant expression for the tree-level structure constants. We then compare
the predictions of the recently proposed hexagon program against all available
data. We have obtained a match once additional sign factors are included when
the two hexagon form-factors are assembled together to form the structure
constants. In the particular case of one BPS and two non-BPS operators we
managed to identify the relevant form-factors with a domain wall partition
function of a certain six-vertex model. This partition function can be
explicitly evaluated and factorizes at all loops. In addition, we use this
result to compute the structure constants and show that at strong coupling in
the so-called BMN regime, its leading order contribution has a determinant
expression.Comment: 26 page
Holographic Schwinger Effect and Chiral condensate in SYM Theory

We study the instability, for the supersymmetric Yang-Mills (SYM) theories,
caused by the external electric field through the imaginary part of the action
of the D7 probe brane, which is embedded in the background of type IIB theory.
This instability is related to the Schwinger effect, namely to the quark pair
production due to the external electric field, for the $SU(N_c)$ SYM theories.
In this holographic approach, it is possible to calculate the Schwinger effect
for various phases of the theories. Here we give the calculation for ${\cal
N}=2$ SYM theory and the analysis is extended to the finite temperature
deconfinement and the zero temperature confinement phases of the Yang-Mills
(YM) theory. By comparing the obtained production rates with the one of the
supersymmetric case, the dynamical quark mass is estimated and we find how it
varies with the chiral condensate. Based on this analysis, we give a
speculation on the extension of the Nambu-Jona-Lasinio model to the finite
temperature YM theory, and four fermi coupling is evaluated in the confinement
theory.Comment: 25 pages, 12 figure
Topological entanglement negativity in Chern-Simons theories

We study the topological entanglement negativity between two spatial regions
in (2+1)-dimensional Chern-Simons gauge theories by using the replica trick and
the surgery method. For a bipartitioned or tripartitioned spatial manifold, we
show how the topological entanglement negativity depends on the presence of
quasiparticles and the choice of ground states. In particular, for two adjacent
non-contractible regions on a tripartitioned torus, the entanglement negativity
provides a simple way to distinguish Abelian and non-Abelian theories. Our
method applies to a Chern-Simons gauge theory defined on an arbitrary oriented
(2+1)-dimensional spacetime manifold. Our results agree with the edge theory
approach in a recent work (X. Wen, S. Matsuura and S. Ryu, arXiv:1603.08534).Comment: 34 pages, 12 figures; v2: reference adde
GUTzilla Dark Matter

Motivated by gauge coupling unification and dark matter, we present an
extension to the Standard Model where both are achieved by adding an extra new
matter multiplet. Such considerations lead to a Grand Unified Theory with very
heavy WIMPzilla dark matter, which has mass greater than ~10^7 GeV and must be
produced before reheating ends. Naturally, we refer to this scenario as
GUTzilla dark matter. Here we present a minimal GUTzilla model, adding a
vector-like quark multiplet to the Standard Model. Proton decay constraints
require the new multiplet to be both color and electroweak charged, which
prompts us to include a new confining SU(3) gauge group that binds the
multiplet into a neutral composite dark matter candidate. Current direct
detection constraints are evaded due to the large dark matter mass; meanwhile,
next-generation direct detection and proton decay experiments will probe much
of the parameter space. The relic abundance is strongly dependent on the
dynamics of the hidden confining sector, and we show that dark matter
production during the epoch of reheating can give the right abundance.Comment: 21 pages, 6 figure
Holographic Entanglement Entropy For a Large Class of States in 2D CFT

In this paper, we study the entanglement entropy in a large class of states
of two-dimensional conformal field theory in the the large central charge
limit. This class of states includes the states created by the insertion of a
finite number of local heavy operators. By using the monodromy analysis, we
obtain the leading order entanglement entropy for the general state. We show
that it is exactly captured by the Ryu-Takayanagi formula, by using the
Wilsonian line prescription in the Chern-Simons formulation of the AdS$_3$
gravity.Comment: 18 pages: References added;Title slightly modified, more
  clarificatio