pinecone/core-2020-05-10-deduplication huggingface dataset:
The Green-Schwarz Mechanism and Geometric Anomaly Relations in 2d (0,2)
  F-theory Vacua

We study the structure of gauge and gravitational anomalies in 2d N=(0,2)
theories obtained by compactification of F-theory on elliptically fibered
Calabi-Yau 5-folds. Abelian gauge anomalies, induced at 1-loop in perturbation
theory, are cancelled by a generalized Green-Schwarz mechanism operating at the
level of chiral scalar fields in the 2d supergravity theory. We derive closed
expressions for the gravitational and the non-abelian and abelian gauge
anomalies including the Green-Schwarz counterterms. These expressions involve
topological invariants of the underlying elliptic fibration and the gauge
background thereon. Cancellation of anomalies in the effective theory predicts
intricate topological identities which must hold on every elliptically fibered
Calabi-Yau 5-fold. We verify these relations in a non-trivial example, but
their proof from a purely mathematical perspective remains as an interesting
open problem. Some of the identities we find on elliptic 5-folds are related in
an intriguing way to previously studied topological identities governing the
structure of anomalies in 6d N=(1,0) and 4d N=1 theories obtained from
F-theory.Comment: 42 page
Holographic Mutual Information of Two Disjoint Spheres

We study quantum corrections to holographic mutual information for two
disjoint spheres at a large separation by using the operator product expansion
of the twist field. In the large separation limit, the holographic mutual
information is vanishing at the semiclassical order, but receive quantum
corrections from the fluctuations. We show that the leading contributions from
the quantum fluctuations take universal forms as suggested from the boundary
CFT. We find the universal behavior for the scalar, the vector, the tensor and
the fermionic fields by treating these fields as free fields propagating in the
fixed background and by using the 1/n prescription. In particular, for the
fields with gauge symmetries, including the massless vector boson and massless
graviton, we find that the gauge parts in the propagators play indispensable
role in reading the leading order corrections to the bulk mutual information.Comment: 37 pages, 1 figure; significant revisions, corrected the discussions
  on the computations of the mutual information in CFT, conclusions unchange
Weyl corrections to diffusion and chaos in holography

Using holographic methods in the Einstein-Maxwell-dilaton-axion (EMDA)
theory, it was conjectured that the thermal diffusion in a strongly coupled
metal without quasi-particles saturates an universal lower bound that is
associated with the chaotic property of the system at infrared (IR) fixed
points~\cite{blake:1705}. In this paper, we investigate the thermal transport
and quantum chaos in the EMDA theory with a small Weyl coupling term. It is
found that the Weyl coupling correct the thermal diffusion constant $D_Q$ and
butterfly velocity $v_B$ in different ways, hence resulting a modified relation
between the two at IR fixed points. Unlike that in the EMDA case, our results
show that the ratio $D_Q/ (v_B^2\tau_L)$ always contains a {\it non-universal}
Weyl correction which depends on the matter fields as long as the $U(1)$
current is relevant in the IR.Comment: 29 pages, typos corrected, references added, appendix B2 added,
  published versio
DIS off glueballs from string theory: the role of the chiral anomaly and
  the Chern-Simons term

We calculate the structure function $F_3(x,q^2)$ of the hadronic tensor of
deep inelastic scattering (DIS) of charged leptons from glueballs of ${\cal
{N}}=4$ SYM theory at strong coupling and at small values of the Bjorken
parameter in the gauge/string theory duality framework. This is done in terms
of type IIB superstring theory scattering amplitudes. From the AdS$_5$
perspective, the relevant part of the scattering amplitude comes from the
five-dimensional non-Abelian Chern-Simons terms in the $SU(4)$ gauged
supergravity obtained from dimensional reduction on $S^5$. From type IIB
superstring theory we derive an effective Lagrangian describing the four-point
interaction in the local approximation. The exponentially small regime of the
Bjorken parameter is investigated using Pomeron techniques.Comment: 35 pages, 3 figure
GLSM realizations of maps and intersections of Grassmannians and
  Pfaffians

In this paper we give gauged linear sigma model (GLSM) realizations of a
number of geometries not previously presented in GLSMs. We begin by describing
GLSM realizations of maps including Veronese and Segre embeddings, which can be
applied to give GLSMs explicitly describing constructions such as the
intersection of one hypersurface with the image under some map of another. We
also discuss GLSMs for intersections of Grassmannians and Pfaffians with one
another, and with their images under various maps, which sometimes form exotic
constructions of Calabi-Yaus, as well as GLSMs for other exotic Calabi-Yau
constructions of Kanazawa. Much of this paper focuses on a specific set of
examples of GLSMs for intersections of Grassmannians G(2,N) with themselves
after a linear rotation, including the Calabi-Yau case N=5. One phase of the
GLSM realizes an intersection of two Grassmannians, the other phase realizes an
intersection of two Pfaffians. The GLSM has two nonabelian factors in its gauge
group, and we consider dualities in those factors. In both the original GLSM
and a double-dual, one geometric phase is realized perturbatively (as the
critical locus of a superpotential), and the other via quantum effects.
Dualizing on a single gauge group factor yields a model in which each geometry
is realized through a simultaneous combination of perturbative and quantum
effects.Comment: LaTeX, 50 pages; v2: typos fixed and a few comments on other
  dualities adde
Studying superconformal symmetry enhancement through indices

In this note we classify the necessary and the sufficient conditions that an
index of a superconformal theory in $3\leq d \leq 6$ must obey for the theory
to have enhanced supersymmetry. We do that by noting that the index
distinguishes a superconformal multiplet contribution to the index only up to a
certain equivalence class it lies in. We classify the equivalence classes in
$d=4$ and build a correspondence between ${\cal N} = 1$ and ${\cal N}>1$
equivalence classes. Using this correspondence, we find a set of necessary
conditions and a sufficient condition on the $d=4$ ${\cal N} = 1$ index for the
theory to have ${\cal N}>1$ SUSY. We also find a necessary and sufficient
condition on a $d=4$ ${\cal N}>1$ index to correspond to a theory with ${\cal
N} > 2$. We then use our results to study some of the $d=4$ theories described
by Agarwal, Maruyoshi and Song, and find that the theories in question have
only ${\cal N} = 1$ SUSY despite having rational central charges. In $d=3$ we
classify the equivalence classes, and build a correspondence between ${\cal N}
= 2$ and ${\cal N}>2$ equivalence classes. Using this correspondence, we
classify all necessary or sufficient conditions on an ${\cal N}=1-3$
superconformal index in $d=3$ to correspond to a theory with higher SUSY, and
find a necessary and sufficient condition on an ${\cal N} = 4$ index to
correspond to an ${\cal N} > 4$ theory. Finally, in $d=6$ we find a necessary
and sufficient condition for an ${\cal N} = 1$ index to correspond to an ${\cal
N}=2$ theory.Comment: 40 pages, v3: improved typography, added a remark on using the
  analysis for the theories with many sector
Quantum deformation of planar amplitudes

In maximally supersymmetric four-dimensional gauge theories planar on-shell
diagrams are closely related to the positive Grassmannian and the cell
decomposition of it into the union of so called positroid cells \cite{A}. We
establish that volume forms on positroids used to express scattering amplitudes
can be $q$-deformed to Hochschild homology classes of corresponding quantum
algebras. The planar amplitudes are represented in \cite {A} as sums of
contributions of some set of positroid cells; we quantize these contributions.
In classical limit our considerations allow us to obtain explicit formulas for
contributions of positroid cells to scattering amplitudes
Anomalous $Z'$ and Diboson Resonances at the LHC

We propose novel collider searches which can significantly improve the LHC
reach to new gauge bosons $Z'$ with mixed anomalies with the electroweak (EW)
gauge group. Such a $Z'$ necessarily acquires a Chern-Simons coupling to the EW
gauge bosons and these couplings can drive both exotic $Z$ decays into
$Z'\gamma$ if the new gauge boson is sufficiently light, as well as $Z'$ decays
into EW gauge bosons.While the exotic decay rate of the heavy $Z$ into
$Z'\gamma$ is too small to be observed at the LHC, for a light $Z'$, we show
the potential of a lepton jet search in association with a photon to probe the
rare decay $Z \to Z' \gamma$.Comment: 17 pages, 4 figures. v2: equation corrected, main results in Section
  4 unchanged, accepted for publication in JHE
2D BPS Rings from Sphere Partition Functions

We consider extremal correlation functions, involving arbitrary number of BPS
(chiral or twisted chiral) operators and exactly one anti-BPS operator in 2D
N=(2,2) theories. These correlators define the structure constants in the rings
generated by the BPS operators with their operator product expansions. We
present a way of computing these correlators from the sphere partition function
of a deformed theory using localization. Relating flat space and sphere
correlators is nontrivial due to operator mixing on the sphere induced by
conformal anomaly. We discuss the supergravitational source of this
complication and a resolution thereof. Finally, we demonstrate the process for
the Quintic GLSM and the Landau-Ginzburg minimal models.Comment: 39 pages, 3 figures. Corrected typos and added reference
Combining initial-state resummation with fixed-order calculations of
  electroweak corrections

We present a resummation of those double-logarithmically enhanced electroweak
correction that arise in pp colliders because protons are not SU(2) singlets,
by solving DGLAP equations in the full Standard Model. We then show how to
match these results with those of fixed-order electroweak calculations. At a
100 TeV pp collider, contributions beyond order alpha are ~ 10% at partonic
center-of-mass energies of a few TeV. These are mainly due to initial states
with massive vector bosons.Comment: 24 pages, 12 figure
Compact, Singular G2-Holonomy Manifolds and M/Heterotic/F-Theory Duality

We study the duality between M-theory on compact holonomy G2-manifolds and
the heterotic string on Calabi-Yau three-folds. The duality is studied for
K3-fibered G2-manifolds, called twisted connected sums, which lend themselves
to an application of fiber-wise M-theory/Heterotic Duality. For a large class
of such G2-manifolds we are able to identify the dual heterotic as well as
F-theory realizations. First we establish this chain of dualities for smooth
G2-manifolds. This has a natural generalization to situations with non-abelian
gauge groups, which correspond to singular G2-manifolds, where each of the
K3-fibers degenerates. We argue for their existence through the chain of
dualities, supported by non-trivial checks of the spectra. The corresponding 4d
gauge groups can be both Higgsable and non-Higgsable, and we provide several
explicit examples of the general construction.Comment: 48 pages, 4 figure
Branes and the Kraft-Procesi transition: classical case

Moduli spaces of a large set of $3d$ $\mathcal{N}=4$ effective gauge theories
are known to be closures of nilpotent orbits. This set of theories has recently
acquired a special status, due to Namikawa's theorem. As a consequence of this
theorem, closures of nilpotent orbits are the simplest non-trivial moduli
spaces that can be found in three dimensional theories with eight supercharges.
In the early 80's mathematicians Hanspeter Kraft and Claudio Procesi
characterized an inclusion relation between nilpotent orbit closures of the
same classical Lie algebra. We recently showed a physical realization of their
work in terms of the motion of D3-branes on the Type IIB superstring embedding
of the effective gauge theories. This analysis is restricted to A-type Lie
algebras. The present note expands our previous discussion to the remaining
classical cases: orthogonal and symplectic algebras. In order to do so we
introduce O3-planes in the superstring description. We also find a brane
realization for the mathematical map between two partitions of the same integer
number known as "collapse". Another result is that basic Kraft-Procesi
transitions turn out to be described by the moduli space of orthosymplectic
quivers with varying boundary conditions.Comment: 102 pages, 75 figures, 24 table
Pions as Gluons in Higher Dimensions

We derive the nonlinear sigma model as a peculiar dimensional reduction of
Yang-Mills theory. In this framework, pions are reformulated as
higher-dimensional gluons arranged in a kinematic configuration that only
probes cubic interactions. This procedure yields a purely cubic action for the
nonlinear sigma model which exhibits a symmetry enforcing color-kinematics
duality. Remarkably, the associated kinematic algebra originates directly from
the Poincare algebra in higher dimensions. Applying the same construction to
gravity yields a new quartic action for Born-Infeld theory and, applied once
more, a cubic action for the special Galileon theory. Since the nonlinear sigma
model and special Galileon are subtly encoded in the cubic sectors of
Yang-Mills theory and gravity, respectively, their double copy relationship is
automatic.Comment: fixed typos and references in v2. Matched to JHEP version in v
Nilpotent ${\cal N}=1$ tensor multiplet

We propose a nilpotent ${\cal N}=1$ tensor multiplet describing two fields,
which are the Goldstino and the axion, the latter being realised in terms of
the field strength of a gauge two-form. This supersymmetric multiplet is
formulated in terms of a deformed real linear superfield, subject to a cubic
nilpotency condition. Its couplings to a super Yang-Mills multiplet and
supergravity are presented. To define a nilpotent tensor multiplet in the
locally supersymmetric case, one has to make use of either real or complex
three-form supergravity theories, which are variant realisations of the old
minimal formulation for ${\cal N}=1$ supergravity.Comment: 17 pages; V2: references and appendix adde
Membrane paradigm and RG flows for anomalous holographic theories

Holographic RG flows can be better understood with the help of radially
conserved charges. It was shown by various authors that the bulk gauge and
diffeomorphism symmetries lead to the conservation of the zero mode of the
holographic U(1) current and, if the spacetime is stationary, to that of the
holographic heat current. In describing dual theories with \'t Hooft anomalies
the bulk gauge invariance is broken by Chern-Simons terms. We show that
conservation laws can still be derived and used to characterize the anomalous
transport in terms of membrane currents at the horizon. We devote particular
attention to systems with gravitational anomalies. These are known to be
problematic due to their higher derivative content. We show that this feature
alters the construction of the membrane currents in a way which is deeply tied
with the anomalous gravitational transport.Comment: 40 page
Floquet Scalar Dynamics in Global AdS

We study periodically driven scalar fields and the resulting geometries with
global AdS asymptotics. These solutions describe the strongly coupled dynamics
of dual finite-size quantum systems under a periodic driving which we interpret
as Floquet condensates. They span a continuous two-parameter space that extends
the linearized solutions on AdS. We map the regions of stability in the
solution space. In a significant portion of the unstable subspace, two very
different endpoints are reached depending upon the sign of the perturbation.
Collapse into a black hole occurs for one sign. For the opposite sign instead
one attains a regular solution with periodic modulation. We also construct
quenches where the driving frequency and amplitude are continuously varied.
Quasistatic quenches can interpolate between pure AdS and sourced solutions
with time periodic vev. By suitably choosing the quasistatic path one can
obtain boson stars dual to Floquet condensates at zero driving field. We
characterize the adiabaticity of the quenching processes. Besides, we speculate
on the possible connections of this framework with time crystals.Comment: 58 pages, 43 figs, several improvements, final version to appear in
  JHE
Partially Massless Fields During Inflation

The representation theory of de Sitter space allows for a category of
partially massless particles which have no flat space analog, but could have
existed during inflation. We study the couplings of these exotic particles to
inflationary perturbations and determine the resulting signatures in
cosmological correlators. When inflationary perturbations interact through the
exchange of these fields, their correlation functions inherit scalings that
cannot be mimicked by extra massive fields. We discuss in detail the squeezed
limit of the tensor-scalar-scalar bispectrum, and show that certain partially
massless fields can violate the tensor consistency relation of single-field
inflation. We also consider the collapsed limit of the scalar trispectrum, and
find that the exchange of partially massless fields enhances its magnitude,
while giving no contribution to the scalar bispectrum. These characteristic
signatures provide clean detection channels for partially massless fields
during inflation.Comment: 48 pages, 5 figures. v2: references added, published versio
Cyclic Mario Worlds -- Color-Decomposition for One-Loop QCD

We present a new color decomposition for QCD amplitudes at one-loop level as
a generalization of the Del Duca-Dixon-Maltoni and Johansson-Ochirov
decomposition at tree level. Starting from a minimal basis of planar primitive
amplitudes we write down a color decomposition that is free of linear
dependencies among appearing primitive amplitudes or color factors. The
conjectured decomposition applies to any number of quark flavors and is
independent of the choice of gauge group and matter representation. The results
also hold for higher-dimensional or supersymmetric extensions of QCD. We
provide expressions for any number of external quark-antiquark pairs and
gluons.Comment: 19 pages + refs, 1 figure, 2 tables; v2 fixing typos, adding
  clarifications, journal versio
Diphoton production at the LHC: a QCD study up to NNLO

We consider the production of prompt-photon pairs at the LHC and we report on a study of QCD radiative corrections up to the next-to-next-to-leading order (NNLO). We present a detailed comparison of next-to-leading order (NLO) results obtained within the standard and smooth cone isolation criteria, by studying the dependence on the isolation parameters. We highlight the role of different partonic subprocesses within the two isolation criteria, and we show that they produce large radiative corrections for both criteria. Smooth cone isolation is a consistent procedure to compute QCD radiative corrections at NLO and beyond. If photon isolation is sufficiently tight, we show that the NLO results for the two isolation procedures are consistent with each other within their perturbative uncertainties. We then extend our study to NNLO by using smooth cone isolation. We discuss the impact of the NNLO corrections and the corresponding perturbative uncertainties for both fiducial cross sections and distributions, and we comment on the comparison with some LHC data. Throughout our study we remark on the main features that are produced by the kinematical selection cuts that are applied to the photons. In particular, we examine soft-gluon singularities that appear in the perturbative computations of the invariant mass distribution of the photon pair, the transverse-momentum spectra of the photons, and the fiducial cross section with asymmetric and symmetric photon transverse-momentum cuts, and we present their behaviour in analytic form
The Dark Side of Flipped Trinification

We propose a model which unifies the Left-Right symmetry with the $SU(3)_L$
gauge group, called flipped trinification, and based on the $SU(3)_C\otimes
SU(3)_L\otimes SU(3)_R\otimes U(1)_X$ gauge group. The model inherits the
interesting features of both symmetries while elegantly explaining the origin
of the matter parity, $W_P=(-1)^{3(B-L)+2s}$, and dark matter stability. We
develop the details of the spontaneous symmetry breaking mechanism in the
model, determining the relevant mass eigenstates, and showing how neutrino
masses are easily generated via the seesaw mechanism. Viable dark matter
candidates can either be a fermion, a scalar or a vector, leading to
potentially different dark matter phenomenology.Comment: 36 pages,1 figur
Galilean Field Theories and Conformal Structure

We perform a detailed analysis of Galilean field theories, starting with free
theories and then interacting theories. We consider non-relativistic versions
of massless scalar and Dirac field theories before we go on to review our
previous construction of Galilean Electrodynamics and Galilean Yang-Mills
theory. We show that in all these cases, the field theories exhibit
non-relativistic conformal structure (in appropriate dimensions). The
surprising aspect of the analysis is that the non-relativistic conformal
structure exhibited by these theories, unlike relativistic conformal
invariance, becomes infinite dimensional even in spacetime dimensions greater
than two. We then couple matter with Galilean gauge theories and show that
there is a myriad of different sectors that arise in the non-relativistic limit
from the parent relativistic theories. In every case, if the parent
relativistic theory exhibited conformal invariance, we find an infinitely
enhanced Galilean conformal invariance in the non-relativistic case. This leads
us to suggest that infinite enhancement of symmetries in the non-relativistic
limit is a generic feature of conformal field theories in any dimension.Comment: 47 pages, 4 figure
Dynamics of entanglement in expanding quantum fields

We develop a novel real-time approach to computing the entanglement between
spatial regions for Gaussian states in quantum field theory. The entanglement
entropy is characterized in terms of local correlation functions on space-like
Cauchy hypersurfaces. The framework is applied to explore an expanding light
cone geometry in the particular case of the Schwinger model for quantum
electrodynamics in 1+1 space-time dimensions. We observe that the entanglement
entropy becomes extensive in rapidity at early times and that the corresponding
local reduced density matrix is a thermal density matrix for excitations around
a coherent field with a time dependent temperature. Since the Schwinger model
successfully describes many features of multiparticle production in $e^+ e^-$
collisions, our results provide an attractive explanation in this framework for
the apparent thermal nature of multiparticle production even in the absence of
significant final state scattering.Comment: 39 pages, 4 figure
A Smooth Exit from Eternal Inflation?

The usual theory of inflation breaks down in eternal inflation. We derive a
dual description of eternal inflation in terms of a deformed Euclidean CFT
located at the threshold of eternal inflation. The partition function gives the
amplitude of different geometries of the threshold surface in the no-boundary
state. Its local and global behavior in dual toy models shows that the
amplitude is low for surfaces which are not nearly conformal to the round
three-sphere and essentially zero for surfaces with negative curvature. Based
on this we conjecture that the exit from eternal inflation does not produce an
infinite fractal-like multiverse, but is finite and reasonably smooth.Comment: 15 pages; v2: added explicit calculation of higher-spin toy-model;
  v3: minor changes to provide more context, references added, version accepted
  for publication in JHE