pinecone/core-2020-05-10-deduplication huggingface dataset:
Superstring Field Theory and the Wess-Zumino-Witten Action

We describe a notion of "higher" Wess-Zumino-Witten-like action which is
natural in the context of superstring field theories formulated in the large
Hilbert space. For the open string, the action is characterized by a pair of
commuting cyclic $A_\infty$ structures together with a hierarchy of higher-form
potentials analogous to the Maurer-Cartan elements which appear in the
conventional Wess-Zumino-Witten action. We apply this formalism to get a better
understanding of symmetries of open superstring field theory and the structure
of interactions in the Ramond sector, describing an interesting connection
between Ramond vertices and Feynman diagrams.Comment: v2: 63 pages, 4 figures. Minor corrections, references adde
T-Branes at the Limits of Geometry

Singular limits of 6D F-theory compactifications are often captured by
T-branes, namely a non-abelian configuration of intersecting 7-branes with a
nilpotent matrix of normal deformations. The long distance approximation of
such 7-branes is a Hitchin-like system in which simple and irregular poles
emerge at marked points of the geometry. When multiple matter fields localize
at the same point in the geometry, the associated Higgs field can exhibit
irregular behavior, namely poles of order greater than one. This provides a
geometric mechanism to engineer wild Higgs bundles. Physical constraints such
as anomaly cancellation and consistent coupling to gravity also limit the order
of such poles. Using this geometric formulation, we unify seemingly different
wild Hitchin systems in a single framework in which orders of poles become
adjustable parameters dictated by tuning gauge singlet moduli of the F-theory
model.Comment: v2: 65 pages, 6 figures, clarifications adde
Prospects for determining the particle/antiparticle nature of WIMP dark
  matter with direct detection experiments

It was recently pointed out that direct detection signals from at least three
different targets may be used to determine whether the Dark Matter (DM)
particle is different from its antiparticle. In this work, we examine in detail
the feasibility of this test under different conditions, motivated by proposals
for future detectors. Specifically, we perform likelihood fits to mock data
under the hypotheses that the DM particle is identical to or different from its
antiparticle, and determine the significance with which the former can be
rejected in favor of the latter. In our analysis, we consider 3 different
values of the DM mass ($50$ GeV, $300$ GeV, $1$ TeV) and 4 different
experimental ensembles, each consisting of at least 3 different targets -- Xe
and Ar plus one among the following: Si, Ge, $\mathrm{CaWO_4}$, or
Ge/$\mathrm{CaWO_4}$. For each of these experimental ensembles and each DM
mass, the expected discrimination significance is calculated as a function of
the DM-nucleon couplings. In the best case scenario, the discrimination
significance can reach $\mathcal{O}(3\sigma)$ for three of the four ensembles
considered, and $\mathcal{O}(5\sigma)$ for the ensemble including
$\mathrm{Si}$, highlighting the need for a variety of experimental targets in
order to determine the DM properties. These results show that future direct
detection signals could be used to exclude, at a statistically significant
level, a Majorana or a real DM particle, giving a critical clue about the
identity of the Dark Matter.Comment: 24 pages, 6 figures. Published in JHEP. Code for reproducing the
  results of the paper is available at
  https://github.com/bradkav/AntiparticleDM (doi:10.5281/zenodo.815457
Product Group S-Confinement in SUSY Gauge Theories

We propose a new set of s-confining theories with product gauge groups and no
tree-level superpotential, based on a model with one antisymmetric matter field
and four flavors of quarks. For each product group we find a set of
gauge-invariant operators which satisfy the 't Hooft anomaly matching
conditions, and we identify the dynamically generated superpotential which
reproduces the classical constraints between operators. Several of these
product gauge theories confine without breaking chiral symmetry, even in cases
where the classical moduli space is quantum-modified. These results may be
useful for composite model building, particularly in cases where small meson
operators are absent, or for theories with multiple natural energy scales, and
may provide new ways to break supersymmetry dynamically.Comment: 28 pages, 8 tables, one appendi
Gauge supergravity in $D=2+2$

We present an action for chiral $N=(1,0)$ supergravity in $2+2$ dimensions.
The fields of the theory are organized into an $OSp(1|4)$ connection
supermatrix, and are given by the usual vierbein $V^a$, spin connection
$\omega^{ab}$, and Majorana gravitino $\psi$. In analogy with a construction
used for $D=10+2$ gauge supergravity, the action is given by $\int STr ({\bf
R}^2 {\bf \Gamma})$, where ${\bf R}$ is the $OSp(1|4)$ curvature supermatrix
two-form, and ${\bf \Gamma}$ a constant supermatrix containing $\gamma_5$. It
is similar, but not identical to the MacDowell-Mansouri action for $D=2+2$
supergravity. The constant supermatrix breaks $OSp(1|4)$ gauge invariance to a
subalgebra $OSp(1|2) \oplus Sp(2)$, including a Majorana-Weyl supercharge. Thus
half of the $OSp(1|4)$ gauge supersymmetry survives. The gauge fields are the
selfdual part of $\omega^{ab}$ and the Weyl projection of $\psi$ for
$OSp(1|2)$, and the antiselfdual part of $\omega^{ab}$ for $Sp(2)$.
Supersymmetry transformations, being part of a gauge superalgebra, close
off-shell. The selfduality condition on the spin connection can be consistently
imposed, and the resulting "projected" action is $OSp(1|2)$ gauge invariant.Comment: LaTeX, 10 page
Spontaneous Breaking of Non-Relativistic Scale Symmetry

We analyze the mechanism of spontaneous symmetry breaking of scale invariance
in Galilean invariant field theories. We show that the existence of a dynamic
gapless dilaton mode depends on whether the $U(1)$ particle number or the
Galilean boost symmetry are spontaneously broken. When both scale and particle
number symmetries are spontaneously broken there is one propagating gapless
Nambu-Goldstone mode. Its dispersion relation is linear if the chemical
potential is nonzero and quadratic otherwise. We discuss the reversibility of
RG flows in such theories.Comment: 25 pages; revise
Sub-subleading Soft Graviton Theorem in Generic Theories of Quantum
  Gravity

We analyze scattering amplitudes with one soft external graviton and
arbitrary number of other finite energy external states carrying arbitrary mass
and spin to sub-subleading order in the momentum of the soft graviton. Our
result can be expressed as the sum of a universal part that depends only on the
amplitude without the soft graviton and not the other details of the theory and
a non-universal part that depends on the amplitude without the soft graviton,
and the two and three point functions of the theory. For tree amplitudes our
results are valid in all space-time dimensions while for loop amplitudes,
infrared divergences force us to restrict our analysis to space time dimensions
five or more. With this restriction the results are valid to all orders in
perturbation theory. Our results agree with known results in quantum field
theories and string theory.Comment: 52 pages, 7 figures v2: Proved that the non-universal sub-subleading
  corrections depend only on on-shell 3-point function
Dyonic black holes at arbitrary locations

We construct and study stationary, asymptotically flat multicenter solutions
describing regular black holes with non-Abelian hair (colored magnetic-monopole
and dyon fields) in two models of $\mathcal{N}=2,d=4$ Super-Einstein-Yang-Mills
theories: the quadratic model $\overline{\mathbb{CP}}^{3}$ and the cubic model
ST$[2,6]$, which can be embedded in 10-dimensional Heterotic Supergravity.
These solutions are based on the multicenter dyon recently discovered by one of
us, which solves the SU$(2)$ Bogomol'nyi and dyon equations on
$\mathbb{E}^{3}$. In contrast to the well-known Abelian multicenter solutions,
the relative positions of the non-Abelian black hole centers are unconstrained.
  We study necessary conditions on the parameters of the solutions that ensure
the regularity of the metric. In the case of the $\overline{\mathbb{CP}}^{3}$
model we show that it is enough to require the positivity of the "masses" of
the individual black holes, the finiteness of each of their entropies and their
superadditivity. In the case of the $ST[2,6]$ model we have not been able to
show that analogous conditions are sufficient, but we give an explicit example
of a regular solution describing thousands of non-Abelian dyonic black holes in
equilibrium at arbitrary relative positions.
  We also construct non-Abelian solutions that interpolate smoothly between
just two aDS$_{2}\times$S$^{2}$ vacua with different radii (dumbbell
solutions).Comment: 43 pages, 2 figure
Two loop QCD corrections for the process Pseudo-scalar Higgs
  $\rightarrow 3$ partons

We present virtual contributions up to two loop level in perturbative Quantum
Chromodynamic (QCD) to the decay of pseudo-scalar Higgs boson ($A$) to three
gluons ($g$) and also to quark ($q$), anti-quark ($\overline q$) and a gluon.
With appropriate crossing, they are well suited for predicting the differential
distribution of $A$ in association with a jet in hadron colliders up to
next-to-next-to-leading order (NNLO) in strong coupling constant and also for
the subsequent decay of $A$ to hadrons. We use effective field theory approach
to integrate out the top quarks in the heavy top limit. The resulting theory
involves two pseudo-scalar composite operators describing the interaction of
$A$ with gluons as well as with quark and anti-quark. We perform our
computation in dimensional regularisation and use minimal subtraction
($\overline{MS}$) scheme to renormalise strong coupling constant as well as the
composite operators. The ultraviolet (UV) finite amplitudes contain infrared
(IR) divergences that are found to be in agreement with the predictions by
Catani. For both the amplitudes namely $A \rightarrow g g g$ and $A \rightarrow
q \overline q g$, the leading transcendental terms at one and two loops are
found to be identical to those in a three point form factor (FF) of the
half-BPS operator in ${\cal N}=4$ Supersymmetric Yang Mills (SYM) theory when
the QCD color factors are adjusted in a specific way. We present our results in
terms of harmonic polylogs well suited for further numerical study.Comment: 29 page
Handlebody phases and the polyhedrality of the holographic entropy cone

The notion of a holographic entropy cone has recently been introduced and it
has been proven that this cone is polyhedral. However, the original definition
was fully geometric and did not strictly require a holographic duality. We
introduce a new definition of the cone, insisting that the geometries used for
its construction should be dual to states of a CFT. As a result, the
polyhedrality of this holographic cone does not immediately follow. A numerical
evaluation of the Euclidean action for the geometries that realize extremal
rays of the original cone indicates that these are subdominant bulk phases of
natural path integrals. The result challenges the expectation that such
geometries are in fact dual to CFT states.Comment: 20 pages, 7 figures, minor change, added ref, published versio
Tweaking one-loop determinants in AdS$_3$

We revisit the subject of one-loop determinants in AdS$_3$ gravity via the
quasinormal mode method. Our goal is to evaluate a one-loop determinant with
chiral boundary conditions for the metric field; chirality is achieved by
imposing Dirichlet boundary conditions on certain components while others
satisfy Neumann. Along the way, we give a generalization of the quasinormal
mode method for stationary (non-static) thermal backgrounds, and propose a
treatment for Neumann boundary conditions in this framework. We evaluate the
graviton one-loop determinant on the Euclidean BTZ background with
parity-violating boundary conditions (CSS), and find excellent agreement with
the dual warped CFT. We also discuss a more general falloff in AdS$_3$ that is
related to two dimensional quantum gravity in lightcone gauge. The behavior of
the ghost fields under both sets of boundary conditions is novel and we discuss
potential interpretations.Comment: 36+18 page
Multipartite entanglement via the Mayer-Vietoris theorem

The connection between entanglement and topology manifests itself in the form
of the ER-EPR duality. This statement however refers to the maximally entangled
states only. In this article I study the multipartite entanglement and the way
in which it relates to the topological interpretation of the ER-EPR duality.
The $2$ dimensional genus $1$ torus will be generalised to a $n$-dimensional
general torus, where the information about the multipartite entanglement will
be encoded in the higher inclusion maps of the Mayer-Vietorist sequence.Comment: 2 figure
Tadpole diagrams in constant electromagnetic fields

We show how all possible one-particle reducible tadpole diagrams in constant
electromagnetic fields can be constructed from one-particle irreducible
constant-field diagrams. The construction procedure is essentially algebraic
and involves differentiations of the latter class of diagrams with respect to
the field strength tensor and contractions with derivatives of the one-particle
irreducible part of the Heisenberg-Euler effective Lagrangian in constant
fields. Specific examples include the two-loop addendum to the Heisenberg-Euler
effective action as well as a novel one-loop correction to the charged particle
propagator in constant electromagnetic fields discovered recently. As an
additional example, the approach devised in the present article is adopted to
derive the tadpole contribution to the two-loop photon polarization tensor in
constant fields for the first time.Comment: 15 pages, 3 figures; some clarifications added, matches journal
  versio
Fibrations in CICY Threefolds

In this work we systematically enumerate genus one fibrations in the class of
7,890 Calabi-Yau manifolds defined as complete intersections in products of
projective spaces, the so-called CICY threefolds. This survey is independent of
the description of the manifolds and improves upon past approaches that probed
only a particular algebraic form of the threefolds (i.e. searches for "obvious"
genus one fibrations as in [1,2]). We also study K3-fibrations and nested
fibration structures. That is, K3 fibrations with potentially many distinct
elliptic fibrations. To accomplish this survey a number of new geometric tools
are developed including a determination of the full topology of all CICY
threefolds, including triple intersection numbers. In 2,946 cases this involves
finding a new "favorable" description of the manifold in which all divisors
descend from a simple ambient space. Our results consist of a survey of obvious
fibrations for all CICY threefolds and a complete classification of all genus
one fibrations for 4,957 "Kahler favorable" CICYs whose Kahler cones descend
from a simple ambient space. Within the CICY dataset, we find 139,597 obvious
genus one fibrations, 30,974 obvious K3 fibrations and 208,987 nested
combinations. For the Kahler favorable geometries we find a complete
classification of 377,559 genus one fibrations. For one manifold with Hodge
numbers (19,19) we find an explicit description of an infinite number of
distinct genus-one fibrations extending previous results for this particular
geometry that have appeared in the literature. The data associated to this scan
is available at http://www1.phys.vt.edu/cicydata .Comment: 54 pages, 4 tables, 4 figure
An Elliptic Triptych

We clarify three aspects of non-compact elliptic genera. Firstly, we give a
path integral derivation of the elliptic genus of the cigar conformal field
theory from its non-linear sigma-model description. The result is a manifestly
modular sum over a lattice. Secondly, we discuss supersymmetric quantum
mechanics with a continuous spectrum. We regulate the theory and analyze the
dependence on the temperature of the trace weighted by the fermion number. The
dependence is dictated by the regulator. From a detailed analysis of the
dependence on the infrared boundary conditions, we argue that in non-compact
elliptic genera right-moving supersymmetry combined with modular covariance is
anomalous. Thirdly, we further clarify the relation between the flat space
elliptic genus and the infinite level limit of the cigar elliptic genus.Comment: 22 page
Quark-antiquark potential in defect conformal field theory

We consider antiparallel Wilson lines in N=4 super Yang-Mills in the presence
of a codimension-1 defect. We compute the Wilson lines' expectation value both
at weak coupling, in the gauge theory, and at strong coupling, by finding the
string configurations which are dual to this operator. These configurations
display a Gross-Ooguri transition between a connected, U-shaped string phase
and a phase in which the string breaks into two disconnected surfaces. We
analyze in detail the critical configurations separating the two phases and
compare the string result with the gauge theory one in a certain double scaling
limit.Comment: 25 pages, 5 figures; v2: minor changes, references added, published
  version; v3: clarifications in Sec.
Fermionic SPT phases in higher dimensions and bosonization

We discuss bosonization and Fermionic Short-Range-Entangled (FSRE) phases of
matter in one, two, and three spatial dimensions, emphasizing the physical
meaning of the cohomological parameters which label such phases and the
connection with higher-form symmetries. We propose a classification scheme for
fermionic SPT phases in three spatial dimensions with an arbitrary finite point
symmetry G. It generalizes the supercohomology of Gu and Wen. We argue that the
most general such phase can be obtained from a bosonic "shadow" by condensing
both fermionic particles and strings.Comment: 47 page
Instantons and Entanglement Entropy

We would like to put the area law -- believed to by obeyed by entanglement
entropies in the ground state of a local field theory -- to scrutiny in the
presence of non-perturbative effects. We study instanton corrections to
entanglement entropy in various models whose instanton effects are well
understood, including $U(1)$ gauge theory in 2+1 dimensions and false vacuum
decay in $\phi^4$ theory, and we demonstrate that the area law is indeed obeyed
in these models. We also perform numerical computations for toy wavefunctions
mimicking the theta vacuum of the (1+1)-dimensional Schwinger model. Our
results indicate that such superpositions exhibit no more violation of the area
law than the logarithmic behavior of a single Fermi surface.Comment: 29 pages, 4 figures, typos corrected, substantially revised,
  published versio
Tops as Building Blocks for G2 Manifolds

A large number of examples of compact $G_2$ manifolds, relevant to
supersymmetric compactifications of M-Theory to four dimensions, can be
constructed by forming a twisted connected sum of two appropriate building
blocks times a circle. These building blocks, which are appropriate $K3$-fibred
threefolds, are shown to have a natural and elegant construction in terms of
tops, which parallels the construction of Calabi-Yau manifolds via reflexive
polytopes.Comment: 43 pages, v2: typos corrected, improved discussion, references added,
  v3: reorganized and improved parts of the discussion, fixed typo
Free energy and boundary anomalies on $\mathbb{S}^a\times \mathbb{H}^b$
  spaces

We compute free energies as well as conformal anomalies associated with
boundaries for a conformal free scalar field. To that matter, we introduce the
family of spaces of the form $\mathbb{S}^a\times \mathbb{H}^b$, which are
conformally related to $\mathbb{S}^{a+b}$. For the case of $a=1$, related to
the entanglement entropy across $\mathbb{S}^{b-1}$, we provide some new
explicit computations of entanglement entropies at weak coupling. We then
compute the free energy for spaces $\mathbb{S}^a\times \mathbb{H}^b$ for
different values of $a$ and $b$. For spaces $\mathbb{S}^{2n+1}\times
\mathbb{H}^{2k}$ we find an exact match with the free energy on
$\mathbb{S}^{2n+2k+1}$. For $\mathbb{H}^{2k+1}$ and $\mathbb{S}^{3}\times
\mathbb{H}^{3}$ we find conformal anomalies originating from boundary terms.
  We also compute the free energy for strongly coupled theories through
holography, obtaining similar results.Comment: 36 pages, no figures. V2: refs. adde
O(d+1,d+1) enhanced double field theory

Double field theory yields a formulation of the low-energy effective action
of bosonic string theory and half-maximal supergravities that is covariant
under the T-duality group O$(d,d)$ emerging on a torus $T^d$. Upon reduction to
three spacetime dimensions and dualisation of vector fields into scalars, the
symmetry group is enhanced to O$(d+1,d+1)$. We construct an enhanced double
field theory with internal coordinates in the adjoint representation of
O$(d+1,d+1)$. Its section constraints admit two inequivalent solutions,
encoding in particular the embedding of $D=6$ chiral and non-chiral theories,
respectively. As an application we define consistent generalized Scherk-Schwarz
reductions using a novel notion of generalized parallelization. This allows us
to prove the consistency of the truncations of $D=6$, ${\cal N}=(1,1)$ and
$D=6$, ${\cal N}=(2,0)$ supergravity on AdS$_3\times \mathbb{S}^3$.Comment: 33 pages plus Appendi
(p,q)-strings probing five-brane webs

In recent work, globally well-defined Type IIB supergravity solutions with
geometry $AdS_6 \times S^2$ warped over a Riemann surface $\Sigma$ were
constructed and conjectured to describe the near-horizon geometry of $(p,q)$
five-brane webs in the conformal limit. In the present paper, we offer more
evidence for this interpretation of the supergravity solutions in terms of
five-brane webs. In particular, we explore the behavior of probe
$(p,q)$-strings in certain families of these $AdS_6 \times S^2\times \Sigma$
backgrounds and compare this behavior to that predicted by microscopic, brane
web considerations. In the microscopic picture, we argue that the embedding of
a probe string may give rise to the formation of string junctions involving
open strings anchored on the branes of the web. We then identify a quantity on
the supergravity side that is conjectured to be equivalent to the total
junction tension in a class of backgrounds corresponding to brane webs with
four semi-infinite external five-branes. In the process, we will show that for
general brane web backgrounds, the minimal energy probe string embeddings do
not coincide with the embeddings preserving half of the background
supersymmetries.Comment: 40 pages, 14 figures; v2: minor edits, references added; v3:
  publication versio