pinecone/core-2020-05-10-deduplication huggingface dataset:
Adaptive Integrand Decomposition in parallel and orthogonal space

We present the integrand decomposition of multiloop scattering amplitudes in
parallel and orthogonal space-time dimensions, $d=d_\parallel+d_\perp$, being
$d_\parallel$ the dimension of the parallel space spanned by the legs of the
diagrams. When the number $n$ of external legs is $n\le 4$, the corresponding
representation of the multiloop integrals exposes a subset of integration
variables which can be easily integrated away by means of Gegenbauer
polynomials orthogonality condition. By decomposing the integration momenta
along parallel and orthogonal directions, the polynomial division algorithm is
drastically simplified. Moreover, the orthogonality conditions of Gegenbauer
polynomials can be suitably applied to integrate the decomposed integrand,
yielding the systematic annihilation of spurious terms. Consequently, multiloop
amplitudes are expressed in terms of integrals corresponding to irreducible
scalar products of loop momenta and external momenta. We revisit the one-loop
decomposition, which turns out to be controlled by the maximum-cut theorem in
different dimensions, and we discuss the integrand reduction of two-loop planar
and non-planar integrals up to $n=8$ legs, for arbitrary external and internal
kinematics. The proposed algorithm extends to all orders in perturbation
theory.Comment: 64 pages, 4 figures, 8 table
Renormalized entanglement entropy

We develop a renormalization method for holographic entanglement entropy
based on area renormalization of entangling surfaces. The renormalized
entanglement entropy is derived for entangling surfaces in asymptotically
locally anti-de Sitter spacetimes in general dimensions and for entangling
surfaces in four dimensional holographic renormalization group flows. The
renormalized entanglement entropy for disk regions in $AdS_4$ spacetimes agrees
precisely with the holographically renormalized action for $AdS_4$ with
spherical slicing and hence with the F quantity, in accordance with the
Casini-Huerta-Myers map. We present a generic class of holographic RG flows
associated with deformations by operators of dimension $3/2 < \Delta < 5/2$ for
which the F quantity increases along the RG flow, hence violating the strong
version of the F theorem. We conclude by explaining how the renormalized
entanglement entropy can be derived directly from the renormalized partition
function using the replica trick i.e. our renormalization method for the
entanglement entropy is inherited directly from that of the partition function.
We show explicitly how the entanglement entropy counterterms can be derived
from the standard holographic renormalization counterterms for asymptotically
locally anti-de Sitter spacetimes.Comment: 44 page
On Brane Instabilities in the Large $D$ Limit

Using an expansion in large number of dimensions, taken to subleading orders,
we discuss several issues concerning the Gregory-Laflamme instabilities. We map
out the phase diagram of neutral and charged black strings, and comment on the
possible transition in the nature of the final state of the instability at
higher order in the 1/D expansion. We also discuss unstable black membranes,
and show that in certain limits the preferred shape of the non-uniform phase is
a triangular lattice.Comment: 20 pages, 4 figures; v3: published versio
Twistor methods for AdS$_5$

We consider the application of twistor theory to five-dimensional anti-de
Sitter space. The twistor space of AdS$_5$ is the same as the ambitwistor space
of the four-dimensional conformal boundary; the geometry of this correspondence
is reviewed for both the bulk and boundary. A Penrose transform allows us to
describe free bulk fields, with or without mass, in terms of data on twistor
space. Explicit representatives for the bulk-to-boundary propagators of scalars
and spinors are constructed, along with twistor action functionals for the free
theories. Evaluating these twistor actions on bulk-to-boundary propagators is
shown to produce the correct two-point functions.Comment: 24 pages, 4 figures. v2: typos fixed, published versio
Romans-mass-driven flows on the D2-brane

The addition of supersymmetric Chern-Simons terms to ${\cal N}=8$
super-Yang-Mills theory in three-dimensions is expected to make the latter flow
into infrared superconformal phases. We address this problem holographically by
studying the effect of the Romans mass on the D2-brane near-horizon geometry.
Working in a consistent, effective four-dimensional setting provided by $D=4$
${\cal N}=8$ supergravity with a dyonic $\textrm{ISO(7)}$ gauging, we verify
the existence of a rich web of supersymmetric domain walls triggered by the
Romans mass that interpolate between the (four-dimensional description of the)
D2-brane and various superconformal phases. We also construct domain walls for
which both endpoints are superconformal. While most of our results are
numerical, we provide analytic results for the $\textrm{SU}(3)\times
\textrm{U}(1)$-invariant flow into an ${\cal N}=2$ conformal phase recently
discovered.Comment: 20 pages plus appendices, 5 figures. v2: typos corrected, published
  tex
Global properties of proton-proton collisions at $\sqrt{s}$ = 100 TeV

The global properties of the final states produced in hadronic interactions
of protons at centre-of-mass energies of future hadron colliders (such as
FCC-hh at CERN, and SppC in China), are studied. The predictions of various
Monte Carlo (MC) event generators used in collider physics (PYTHIA 6, PYTHIA 8,
and PHOJET) and in ultrahigh-energy cosmic-rays studies (EPOS, and QGSJET) are
compared. Despite their different underlying modeling of hadronic interactions,
their predictions for proton-proton (p-p) collisions at $\sqrt{s}$ = 100 TeV
are quite similar. The average of all MC predictions (except PHOJET) for the
different observables are: (i) p-p inelastic cross sections $\sigma_{\rm inel}$
= 105 $\pm$ 2 mb; (ii) total charged multiplicity $\rm N_{_{\rm ch}}$ = 150
$\pm$ 20; (iii) charged particle pseudorapidity density at midrapidity $\rm
dN_{ch}/d\eta|_{\eta=0} = 9.6 \pm 0.2$; (iv) energy density at midrapidity $\rm
dE/d\eta|_{\eta=0} = 13.6 \pm 1.5$ GeV, and $\rm dE/d\eta|_{\eta=5} = 670 \pm
70$ GeV at the edge of the central region; and (v) average transverse momenta
at midrapidities $\rm < p_{T}> = 0.76 \pm 0.07$ GeV/c. At midrapidity, EPOS and
QGSJET-II predict larger per-event multiplicity probabilities at very low ($\rm
N_{\rm ch}<3$) and very high ($\rm N_{\rm ch}>100$) particle multiplicities,
whereas PYTHIA 6 and 8 feature higher yields in the intermediate region $\rm
N_{\rm ch}\approx$ 30--80. These results provide useful information for the
estimation of the detector occupancies and energy deposits from pileup
collisions at the expected large FCC-hh/SppC luminosities.Comment: 10 pages, 11 figures. Minor changes. Matches version published in
  JHE
Initial conditions for hydrodynamics from weakly coupled pre-equilibrium
  evolution

We use effective kinetic theory, accurate at weak coupling, to simulate the
pre-equilibrium evolution of transverse energy and flow perturbations in
heavy-ion collisions. We provide a Green function which propagates the initial
perturbations to the energy-momentum tensor at a time when hydrodynamics
becomes applicable. With this map, the complete pre-thermal evolution from
saturated nuclei to hydrodynamics can be modelled in a perturbatively
controlled way.Comment: 25 pages, 9 figures (prepared for submission to JHEP). Differences
  from version 1: updated figures 3(b), 5, 7, 8 and 9, replaced appendix
ABJ Theory in the Higher Spin Limit

We study the conjecture made by Chang, Minwalla, Sharma, and Yin on the
duality between the N=6 Vasiliev higher spin theory on AdS_4 and the N=6
Chern-Simons-matter theory, so-called ABJ theory, with gauge group U(N) x
U(N+M). Building on our earlier results on the ABJ partition function, we
develop the systematic 1/M expansion, corresponding to the weak coupling
expansion in the higher spin theory, and compare the leading 1/M correction,
with our proposed prescription, to the one-loop free energy of the N=6 Vasiliev
theory. We find an agreement between the two sides up to an ambiguity that
appears in the bulk one-loop calculation.Comment: 35 pages, 1 figure. v3: A sign error and the choice of boundary
  conditions in the higher spin one-loop calculation have been corrected.
  Accordingly, slight changes have been made to the details of the conclusions,
  improving the clai
Heterotic T-fects, 6D SCFTs, and F-Theory

We study the $(1,0)$ six-dimensional SCFTs living on defects of non-geometric
heterotic backgrounds (T-fects) preserving a $E_7\times E_8$ subgroup of
$E_8\times E_8$. These configurations can be dualized explicitly to F-theory on
elliptic K3-fibered non-compact Calabi-Yau threefolds. We find that the
majority of the resulting dual threefolds contain non-resolvable singularities.
In those cases in which we can resolve the singularities we explicitly
determine the SCFTs living on the defect. We find a form of duality in which
distinct defects are described by the same IR fixed point. For instance, we
find that a subclass of non-geometric defects are described by the SCFT arising
from small heterotic instantons on ADE singularities.Comment: 68 pages, 6 figure
Dressed elliptic genus of heterotic compactifications with torsion and
  general bundles

We define and compute the dressed elliptic genus of N = 2 heterotic
compactifications with torsion that are principal two-torus bundles over a K3
surface. We consider the most general gauge bundle compatible with
supersymmetry, a stable holomorphic vector bundle over the base together with
an Abelian bundle over the total space, generalizing the computation previously
done by the authors in the absence of the latter. Starting from a (0,2) gauged
linear sigma-model with torsion we use supersymmetric localization to obtain
the result. We provide also a mathematical definition of the dressed elliptic
genus as a modified Euler characteristic and prove that both expressions agree
for hypersurfaces in weighted projective spaces. Finally we show that it admits
a natural decomposition in terms of N = 4 superconformal characters, that may
be useful to investigate moonshine phenomena for this wide class of N = 2
vacua, that includes K3*T2 compactifications as special cases.Comment: 36 pages, version published in JHE
Aspects of Holographic Entanglement at Finite Temperature and Chemical
  Potential

We investigate the behavior of entanglement entropy at finite temperature and
chemical potential for strongly coupled large-N gauge theories in
$d$-dimensions ($d\ge 3$) that are dual to Anti-de Sitter-Reissner-Nordstrom
geometries in $(d+1)-$dimensions, in the context of gauge-gravity duality. We
develop systematic expansions based on the Ryu-Takayanagi prescription that
enable us to derive analytic expressions for entanglement entropy and mutual
information in different regimes of interest. Consequently, we identify the
specific regions of the bulk geometry that contribute most significantly to the
entanglement entropy of the boundary theory at different limits. We define a
scale, dubbed as the effective temperature, which determines the behavior of
entanglement in different regimes. At high effective temperature, entanglement
entropy is dominated by the thermodynamic entropy, however, mutual information
subtracts out this contribution and measures the actual quantum entanglement.
Finally, we study the entanglement/disentanglement transition of mutual
information in the presence of chemical potential which shows that the quantum
entanglement between two sub-regions decreases with the increase of chemical
potential.Comment: 38 pages, multiple figure
Non-analyticity of holographic R\'enyi entropy in Lovelock gravity

We compute holographic R\'enyi entropies for spherical entangling surfaces on
the boundary while considering third order Lovelock gravity with negative
cosmological constant in the bulk. Our study shows that third order Lovelock
black holes with hyperbolic event horizon are unstable, and at low temperatures
those with smaller mass are favoured, giving rise to first order phase
transitions in the bulk. We determine regions in the Lovelock parameter space
in arbitrary dimensions, where bulk phase transitions happen and where boundary
causality constraints are met. We show that each of these points corresponds to
a dual boundary conformal field theory whose R\'enyi entropy exhibits a kink at
a certain critical index $n$.Comment: 19 pages, 5 figures; published versio
Non-analyticity of holographic Rényi entropy in Lovelock gravity

We compute holographic Rényi entropies for spherical entangling surfaces on the boundary while considering third order Lovelock gravity with negative cosmological constant in the bulk. Our study shows that third order Lovelock black holes with hyperbolic event horizon are unstable, and at low temperatures those with smaller mass are favoured, giving rise to first order phase transitions in the bulk. We determine regions in the Lovelock parameter space in arbitrary dimensions, where bulk phase transitions happen and where boundary causality constraints are met. We show that each of these points corresponds to a dual boundary conformal field theory whose Rényi entropy exhibits a kink at a certain critical index n.This research
was supported in part by the Icelandic Research Fund under contracts 163419-051 and
163422-051, and by grants from the University of Iceland Research Fund.Peer Reviewe
Instanton Effects in Rank Deformed Superconformal Chern-Simons Theories
  from Topological Strings

In the so-called (2,2) theory, which is the U(N)^4 circular quiver
superconformal Chern-Simons theory with levels (k,0,-k,0), it was known that
the instanton effects are described by the free energy of topological strings
whose Gopakumar-Vafa invariants coincide with those of the local D_5 del Pezzo
geometry. By considering two types of one-parameter rank deformations U(N) x
U(N+M) x U(N+2M) x U(N+M) and U(N+M) x U(N) x U(N+M) x U(N), we classify the
known diagonal BPS indices by degrees. Together with other two types of
one-parameter deformations, we further propose the topological string
expression when both of the above two deformations are turned on.Comment: 57 pages, 3 eps figures, published version (with data added
Directions for model building from asymptotic safety

Building on recent advances in the understanding of gauge-Yukawa theories we
explore possibilities to UV-complete the Standard Model in an asymptotically
safe manner. Minimal extensions are based on a large flavor sector of
additional fermions coupled to a scalar singlet matrix field. We find that
asymptotic safety requires fermions in higher representations of $SU(3)_C\times
SU(2)_L$. Possible signatures at colliders are worked out and include
$R$-hadron searches, diboson signatures and the evolution of the strong and
weak coupling constants.Comment: 52 pages, 23 figures, 7 tables, published version. v2: clarifications
  and results (weak sector, Fig 18) added, some plots updated post-Moriond
  2017, typos remove
A Simple Method to detect spontaneous CP Violation in multi-Higgs models

For models with several Higgs doublets we present an alternative method to
the one proposed by Branco, Gerard and Grimus, in 1984, to check whether or not
CP is spontaneously violated in the Higgs potential. The previous method is
powerful and rigorous. It requires the identification of a matrix $U$
corresponding to a symmetry of the Lagrangian and verifying a simple relation
involving the vacuum expectation values. The nonexistence of such a matrix
signals spontaneous CP violation. However, as the number of Higgs doublets
increases, finding such a matrix $U$ may not be straightforward and it may turn
out to be easier to analyse the potential by going to the so-called Higgs
basis. The transformation to the Higgs basis is straightforward once the vacuum
expectation values are known. The method proposed in this work is also powerful
and rigorous and can be particularly useful to analyse models with more than
two Higgs doublets and with continuous symmetries.Comment: 9 pages, no figures. v2: minor changes, matching JHEP versio
On 1/4 BPS ((F, D1), (NS5, D5)) bound states of type IIB string theory

We construct two new SL(2,Z) invariant vacua of type IIB string theory which
are bound states of $(p,q)$ strings with $(m,n)$ 5-branes, written as ((F, D1),
(NS5, D5)) and preserve 1/4 of the full space-time supersymmetries. For the
first case, the strings live inside the 5-brane world-volume and in the second
case the strings are perpendicular to the 5-brane world-volume. In the first
case, naively one would expect an attractive interaction between the strings
and the 5-branes due to attractive force between F and D5 and also between D1
and NS5. We find that 1/4 BPS bound state exists only when the vacuum moduli
satisfy certain condition which is found to be consistent with the no-force
condition between the branes. No such complication arises for the second case.
The tension formulae and the various other descendant states which can be
obtained by the application of T-duality for both these bound states are
discussed.Comment: 22 pages, 1 table, minor changes and one reference added, the version
  to appear in JHE
Polarisations of the $Z$ and $W$ bosons in the processes $pp \to ZH$ and
  $pp \to W^{\pm}_{}H$

The $Z$ boson in the process $pp \to ZH$ and the $W^+_{}$ and $W^-_{}$ in the
process $pp \to W^{\pm}_{}H$ can be in polarised states. The polarisation
density matrix of the $Z$ ($W$) boson contains the complete information about a
state of polarisation of the $Z$ ($W$) boson, and $HZZ$, $HZ\gamma$ and $HWW$
interactions may be studied in detail from a careful analysis of these
matrices. In this paper, a systematic approach to analyse these polarisation
density matrices is presented. With the aim of making maximum use of the
polarisation information, all of the elements of the polarisation density
matrices are related with observables, which are measurable at the environment
of $pp$ collisions. Consequences of non-standard $HZZ$, $HZ\gamma$ and $HWW$
interactions for these observables are discussed.Comment: 25 pages, 8 figures, 3 tables. v2; the errors in section 2.3 are
  correcte
2D CFT blocks for the 4D class $\mathcal{S}_k$ theories

This is the first in a series of papers on the search for the 2D CFT
description of a large class of 4D $\mathcal{N} = 1$ gauge theories. Here, we
identify the 2D CFT symmetry algebra and its representations, namely the
conformal blocks of the Virasoro/W-algebra, that underlie the 2D theory and
reproduce the Seiberg-Witten curves of the $\mathcal{N} = 1$ gauge theories. We
find that the blocks corresponding to the SU(N) $\mathcal{S}_k$ gauge theories
involve fields in certain non-unitary representations of the $W_{kN}$ algebra.
These conformal blocks give a prediction for the instanton partition functions
of the 4D $\mathcal{N} = 1$ SCFTs of class $\mathcal{S}_k$.Comment: 42 pages,5 figure
The energy-momentum multiplet of supersymmetric defect field theories

Defects in field theories break translation invariance, resulting in the
non-conservation of the energy-momentum tensor in the directions normal to the
defect. This violation is known as the displacement operator. We study 4d
${\cal N}=1$ theories with 3d defects preserving 3d ${\cal N}=1$ supersymmetry
by analyzing the embedding of the 3d superspace in the 4d superspace. We use
this to construct the energy-momentum multiplet of such defect field theories,
which we call the defect multiplet and show how it incorporates the
displacement operator. We also derive the defect multiplet by using a
superspace Noether procedure.Comment: 42 pages, v2: Fixed TeX package problem, v3: Minor correction
The Space of Vacua of 3d $\mathcal{N}=3$ Abelian Theories

We use brane techniques to study the space of vacua of abelian 3d
$\mathcal{N}=3$ gauge theories. The coordinates on these spaces are the vevs of
chiral monopole and meson operators, which are realized in the type IIB brane
configuration of the theory by adding semi-infinite $(1,k)$ strings or F1
strings. The study of various brane setups allows us to determine a basis of
chiral operators and chiral ring relations relevant to each branch of vacua,
leading to the algebraic description of these branches. The method is mostly
graphical and does not require actual computations. We apply it and provide
explicit results in various examples. For linear quivers we find that the space
of vacua has in general a collection of Coulomb-like branches, a Higgs branch
and mixed branches. For circular quivers we find an extra branch, the geometric
branch, parametrized by monopoles with equal magnetic charges in all $U(1)$
nodes and meson operators. We explain how to include FI and mass deformations.
We also study $\mathcal{N}=3$ theories realized with $(p,q)$ 5-branes.Comment: 78 pages, 41 figure
Timelike duality, $M'$-theory and an exotic form of the Englert solution

Through timelike dualities, one can generate exotic versions of $M$-theory
with different spacetime signatures. These are the $M^*$-theory with signature
$(9,2,-)$, the $M'$-theory, with signature $(6,5,+)$ and the theories with
reversed signatures $(1,10, -)$, $(2,9, +)$ and $(5,6, -)$. In $(s,t, \pm)$,
$s$ is the number of space directions, $t$ the number of time directions, and
$\pm$ refers to the sign of the kinetic term of the $3$ form.
  The only irreducible pseudo-riemannian manifolds admitting absolute
parallelism are, besides Lie groups, the seven-sphere $S^7 \equiv SO(8)/SO(7)$
and its pseudo-riemannian version $S^{3,4} \equiv SO(4,4)/SO(3,4)$. [There is
also the complexification $SO(8,\mathbb{C})/SO(7, \mathbb{C})$, but it is of
dimension too high for our considerations.] The seven-sphere $S^7\equiv
S^{7,0}$ has been found to play an important role in $11$-dimensional
supergravity, both through the Freund-Rubin solution and the Englert solution
that uses its remarkable parallelizability to turn on non trivial internal
fluxes. The spacetime manifold is in both cases $AdS_4 \times S^7$. We show
that $S^{3,4}$ enjoys a similar role in $M'$-theory and construct the exotic
form $AdS_4 \times S^{3,4}$ of the Englert solution, with non zero internal
fluxes turned on. There is no analogous solution in $M^*$-theory.Comment: 18 pages, v2: typos fixe
Entanglement Entropy in Integrable Field Theories with Line Defects II.
  Non-topological Defect

This is the second part of two papers where we study the effect of integrable
line defects on bipartite entanglement entropy in integrable field theories. In
this paper, we consider non-topological line defects in Ising field theory. We
derive an infinite series expression for the entanglement entropy and show that
both the UV and IR limits of the bulk entanglement entropy are modified by the
line defect. In the UV limit, we give an infinite series expression for the
coefficient in front of the logarithmic divergence and the exact defect
$g$-function. By tuning the defect to be purely transmissive and reflective, we
recover correctly the entanglement entropy of the bulk and with integrable
boundary.Comment: 30 pages, references added, typos corrected, publication versio