pinecone/core-2020-05-10-deduplication huggingface dataset:
On the dualization of scalars into (d-2)-forms in supergravity. Momentum
  maps, R-symmetry and gauged supergravity

We review and investigate different aspects of scalar fields in supergravity
theories both when they parametrize symmetric spaces and when they parametrize
spaces of special holonomy which are not necessarily symmetric (Kahler and
Quaternionic-Kahler spaces): their role in the definition of derivatives of the
fermions covariant under the R-symmetry group and (in gauged supergravities)
under some gauge group, their dualization into (d-2)-forms, their role in the
supersymmetry transformation rules (via fermion shifts, for instance) etc. We
find a general definition of momentum map that applies to any manifold
admitting a Killing vector and coincides with those of the holomorphic and
tri-holomorphic momentum maps in Kahler and Quaternionic-Kahler spaces and with
an independent definition that can be given in symmetric spaces. We show how
the momentum map occurs ubiquitously: in gauge-covariant derivatives of
fermions, in fermion shifts, in the supersymmetry transformation rules of
(d-2)-forms etc. We also give the general structure of the
Noether-Gaillard-Zumino conserved currents in theories with fields of different
ranks in any dimension.Comment: 62 pages. A few minor misprints correcte
3d N=2 mirror symmetry, pq-webs and monopole superpotentials

D3 branes stretching between webs of (p,q) 5branes provide an interesting
class of 3d N=2 theories. For generic pq-webs however the low energy field
theory is not known. We use 3d mirror symmetry and Type IIB S-duality to
construct Abelian gauge theories corresponding to D3 branes ending on both
sides of a pq-web made of many coincident NS5's intersecting one D5. These
theories contain chiral monopole operators in the superpotential and enjoy a
non trivial pattern of global symmetry enhancements. In the special case of the
pq-web with one D5 and one NS5, the 3d low energy SCFT admits three dual
formulations. This triality can be applied locally inside bigger quiver gauge
theories. We prove our statements using partial mirror symmetry `a la
Kapustin-Strassler, showing the equality of the S^3_b partition functions and
studying the quantum chiral rings.Comment: 52 pages, 20 figure
U-duality transformation of membrane on $T^{n}$ revisited

The problem with the U-duality transformation of membrane on $T^{n}$ is
recently addressed in [arXiv:1509.02915 [hep-th]]. We will consider the
U-duality transformation rule of membrane on $T^{n}\times R$. It turns out that
winding modes on $T^{n}$ should be taken into account, since the duality
transformation may bring the membrane configuration without winding modes into
the one with winding modes. With the winding modes added, the membrane
worldvolume theory in lightcone gauge is equivalent to the $n+1$ dimensional
super-Yang-Mills (SYM) theory in $\tilde{T}^{n}$, which has $SL(2,Z)\times
SL(3,Z)$ and $SL(5,Z)$ symmetries for $n=3$ and $n=4$, respectively. The
$SL(2,Z)\times SL(3,Z)$ transformation can be realized classically, making the
on-shell field configurations transformed into each other. However, the
$SL(5,Z)$ symmetry may only be realized at the quantum level, since the
classical $5d$ SYM field configurations cannot form the representation of
$SL(5,Z)$.Comment: 19 pages; v2: 20 pages, reference corrected, extended discussion in
  section 5, journal versio
A nonabelian particle-vortex duality in gauge theories

We define a nonabelian version of particle-vortex duality, by dimensionally
extending usual (1+1)-dimensional nonabelian T-duality to (2+1) dimensions.
While we will explicitly describe a global $SU(2)$ symmetry, our methods can
also be applied to a larger group $G$, by gauging an appropriate subgroup. We
will exemplify our duality with matter in both adjoint and fundamental
representations by considering a modification of ${\cal N}=2$ supersymmetric
Yang-Mills theory (Seiberg-Witten theory reduced to (2+1) dimensions), and an
$SU(2)\times U(1)$ color-flavor locked theory that exhibits nonabelian vortex
solutions.Comment: 23 pages, no figure
On the conformal higher spin unfolded equation for a three-dimensional
  self-interacting scalar field

We propose field equations for the conformal higher spin system in three
dimensions coupled to a conformal scalar field with a sixth order potential.
Both the higher spin equation and the unfolded equation for the scalar field
have source terms and are based on a conformal higher spin algebra which we
treat as an expansion in multi-commutators. Explicit expressions for the source
terms are suggested and subjected to some simple tests. We also discuss a
cascading relation between the Chern-Simons action for the higher spin gauge
theory and an action containing a term for each spin that generalizes the spin
2 Chern-Simons action in terms of the spin connection expressed in terms of the
frame field. This cascading property is demonstrated in the free theory for
spin 3 but should work also in the complete higher spin theory.Comment: v2: 20 pages, misprints corrected, footnotes adde
Polynomial reduction and evaluation of tree- and loop-level CHY
  amplitudes

We develop a polynomial reduction procedure that transforms any gauge fixed
CHY amplitude integrand for $n$ scattering particles into a $\sigma$-moduli
multivariate polynomial of what we call the $\textit{standard form}$. We show
that a standard form polynomial must have a specific $\textit{ladder type}$
monomial structure, which has finite size at any $n$, with highest multivariate
degree given by $(n-3)(n-4)/2$. This set of monomials spans a complete basis
for polynomials with rational coefficients in kinematic data on the support of
scattering equations. Subsequently, at tree and one-loop level, we employ the
global residue theorem to derive a prescription that evaluates any CHY
amplitude by means of collecting simple residues at infinity only. The
prescription is then applied explicitly to some tree and one-loop amplitude
examples.Comment: 28 pages, published versio
Generalised Boundary Terms for Higher Derivative Theories of Gravity

In this paper we wish to find the corresponding Gibbons-Hawking-York term for
the most general quadratic in curvature gravity by using Coframe slicing within
the Arnowitt-Deser-Misner (ADM) decomposition of spacetime in four dimensions.
In order to make sure that the higher derivative gravity is ghost and tachyon
free at a perturbative level, one requires infinite covariant derivatives,
which yields a generalised covariant infinite derivative theory of gravity. We
will be exploring the boundary term for such a covariant infinite derivative
theory of gravity.Comment: 37 page
Threshold singularities, dispersion relations and fixed-order
  perturbative calculations

We show how to correctly treat threshold singularities in fixed-order
perturbative calculations of the electron anomalous magnetic moment and
hadronic pair production processes such as top pair production. With respect to
the former, we demonstrate the equivalence of the "non-perturbative", resummed
treatment of the vacuum polarization contribution, whose spectral function
exhibits bound state poles, with the fixed-order calculation by identifying a
threshold localized term in the four-loop spectral function. In general, we
find that a modification of the dispersion relation by threshold subtractions
is required to make fixed-order calculations well-defined and provide the
subtraction term. We then solve the apparent problem of a divergent convolution
of the partonic cross section with the parton luminosity in the computation of
the top pair production cross section starting from the fourth-order
correction. We find that when the computation is performed in the usual way as
an integral of real and virtual corrections over phase space at a given order
in the expansion in the strong coupling, an additional contribution has to be
added at N3LO.Comment: 15 pages, 3 figure
Revisiting the two formulations of Bianchi identities and their
  implications on moduli stabilization

In the context of non-geometric type II orientifold compactifications, there
have been two formulations for representing the various NS-NS
Bianchi-identities. In the first formulation, the standard three-form flux
($H_3$), the geometric flux ($\omega$) and the non-geometric fluxes ($Q$ and
$R$) are expressed by using the real six-dimensional indices (e.g. $H_{ijk},
\omega_{ij}{}^k, Q_i{}^{jk}$ and $R^{ijk}$), and this formulation has been
heavily utilized for simplifying the scalar potentials in
toroidal-orientifolds. On the other hand, relevant for the studies beyond
toroidal backgrounds, a second formulation is utilized in which all flux
components are written in terms of various involutively even/odd $(2,1)$- and
$(1,1)$-cohomologies of the complex threefold. In the lights of recent model
building interests and some observations made in arXiv:0705.3410 and
arXiv:0709.2186, in this article, we revisit two most commonly studied toroidal
examples in detail to illustrate that the present forms of these two
formulations are not completely equivalent. To demonstrate the same, we
translate all the identities of the first formulation into cohomology
ingredients, and after a tedious reshuffling of the subsequent constraints,
interestingly we find that all the identities of the second formulation are
embedded into the first formulation which has some additional constraints. In
addition, we look for the possible solutions of these Bianchi identities in a
detailed analysis, and we find that some solutions can reduce the size of
scalar potential very significantly, and in some cases are too strong to break
the no-scale structure completely. Finally, we also comment on the influence of
imposing some of the solutions of Bianchi identities in studying moduli
stabilization.Comment: version 3: 46 pages; improved presentation with some clarifications
  added on page 18; to appear in JHE
Super-Entropic Black Holes and the Kerr-CFT Correspondence

We demonstrate that Kerr-CFT duality can be extended to super-entropic black
holes, which have non-compact horizons with finite area. We demonstrate that
this duality is robust insofar as the ultra-spinning limit of a Kerr-AdS black
hole (which yields the super-entropic class)commutes with the near-horizon
limit (which yields the Kerr-CFT duality). Consequently the Bekeinstein-Hawking
and the CFT entropies are equivalent. We show that the duality holds for both
singly-spinning super-entropic black holes in 4 dimensions and for
doubly-spinning super-entropic black holes of gauged supergravity in 5
dimensions. In both cases we obtain not only the expected left/right
temperatures, but also temperatures associated with electric charge and with a
new thermodynamic parameter specific to super-entropic black holes.Comment: 10 pages and 1 figur
Thermal Relic Dark Matter Beyond the Unitarity Limit

We discuss a simple model of thermal relic dark matter whose mass can be much
larger than the so-called unitarity limit on the mass of point-like particle
dark matter. The model consists of new strong dynamics with one flavor of
fermions in the fundamental representation which is much heavier than the
dynamical scale of the new strong dynamics. Dark matter is identified with the
lightest baryonic hadron of the new dynamics. The baryonic hadrons annihilate
into the mesonic hadrons of the new strong dynamics when they have large radii.
Resultantly, thermal relic dark matter with a mass in the PeV range is
possible.Comment: 24 pages, 10 figure
Multi-Regge kinematics and the moduli space of Riemann spheres with
  marked points

We show that scattering amplitudes in planar N = 4 Super Yang-Mills in
multi-Regge kinematics can naturally be expressed in terms of single-valued
iterated integrals on the moduli space of Riemann spheres with marked points.
As a consequence, scattering amplitudes in this limit can be expressed as
convolutions that can easily be computed using Stokes' theorem. We apply this
framework to MHV amplitudes to leading-logarithmic accuracy (LLA), and we prove
that at L loops all MHV amplitudes are determined by amplitudes with up to L +
4 external legs. We also investigate non-MHV amplitudes, and we show that they
can be obtained by convoluting the MHV results with a certain helicity flip
kernel. We classify all leading singularities that appear at LLA in the Regge
limit for arbitrary helicity configurations and any number of external legs.
Finally, we use our new framework to obtain explicit analytic results at LLA
for all MHV amplitudes up to five loops and all non-MHV amplitudes with up to
eight external legs and four loops.Comment: 104 pages, six awesome figures and ancillary files containing the
  results in Mathematica forma
Atmospheric neutrinos, $nu_e-nu_s$ oscillations, and a novel neutrino
  evolution equation

If a sterile neutrino nu_s with an eV-scale mass and a sizeable mixing to the
electron neutrino exists, as indicated by the reactor and gallium neutrino
anomalies, a strong resonance enhancement of nu_e-nu_s oscillations of
atmospheric neutrinos should occur in the TeV energy range. At these energies
neutrino flavour transitions in the 3+1 scheme depend on just one neutrino mass
squared difference and are fully described within a 3-flavour oscillation
framework. We demonstrate that the flavour transitions of atmospheric nu_e can
actually be very accurately described in a 2-flavour framework, with neutrino
flavour evolution governed by an inhomogeneous Schroedinger-like equation.
Evolution equations of this type have not been previously considered in the
theory of neutrino oscillations.Comment: 10 pages, 2 figures. v2: typos corrected. v3: some equations in
  section 2 reordered, section 3 expanded, figures enhanced and figure captions
  improved following referee's suggestions. Matches JHEP versio
The exceptional story of massive IIA supergravity

The framework of exceptional field theory is extended by introducing
consistent deformations of its generalised Lie derivative. For the first time,
massive type IIA supergravity is reproduced geometrically as a solution of the
section constraint. This provides a unified description of all ten- and
eleven-dimensional maximal supergravities. The action of the E7 deformed theory
is constructed, and reduces to those of exceptional field theory and gauged
maximal supergravity in respective limits. The relation of this new framework
to other approaches for generating the Romans mass non-geometrically is
discussed.Comment: 39 pages. v2: typos corrected, references added. v3: typos corrected,
  references added, published versio
NLO electroweak corrections to off-shell top-antitop production with
  leptonic decays at the LHC

For the first time the next-to-leading-order electroweak corrections to the
full off-shell production of two top quarks that decay leptonically are
presented. This calculation includes all off-shell, non-resonant, and
interference effects for the 6-particle phase space. While the electroweak
corrections are below one per cent for the integrated cross section, they reach
up to 15% in the high-transverse-momentum region of distributions. To support
the results of the complete one-loop calculation, we have in addition evaluated
the electroweak corrections in two different pole approximations, one requiring
two on-shell top quarks and one featuring two on-shell W bosons. While the
former deviates by up to 10% from the full calculation for certain
distributions, the latter provides a very good description for most
observables. The increased centre-of-mass energy of the LHC makes the inclusion
of electroweak corrections extremely relevant as they are particularly large in
the Sudakov regime where new physics is expected to be probed.Comment: 33 pages,23 eps-figures. Matches the published version. Typo fixed in
  equations (2.18) and (2.19
On $C_{J}$ and $C_{T}$ in Conformal QED

QED with a large number $N$ of massless fermionic degrees of freedom has a
conformal phase in a range of space-time dimensions. We use a large $N$
diagrammatic approach to calculate the leading corrections to $C_T$, the
coefficient of the two-point function of the stress-energy tensor, and $C_J$,
the coefficient of the two-point function of the global symmetry current. We
present explicit formulae as a function of $d$ and check them versus the
expectations in 2 and $4-\epsilon$ dimensions. Using our results in higher even
dimensions we find a concise formula for $C_T$ of the conformal Maxwell theory
with higher derivative action $F_{\mu \nu} (-\nabla^2)^{\frac{d}{2}-2} F^{\mu
\nu}$. In $d=3$, QED has a topological symmetry current, and we calculate the
correction to its two-point function coefficient, $C^{\textrm{top}}_{J}$. We
also show that some RG flows involving QED in $d=3$ obey $C_T^{\rm UV} >
C_T^{\rm IR}$ and discuss possible implications of this inequality for the
symmetry breaking at small values of $N$.Comment: 29 pages, 9 figures. v3: minor improvements, references adde
Testable Baryogenesis in Seesaw Models

We revisit the production of baryon asymmetries in the minimal type I seesaw
model with heavy Majorana singlets in the GeV range. In particular we include
"washout" effects from scattering processes with gauge bosons, Higgs decays and
inverse decays, besides the dominant top scatterings. We show that in the
minimal model with two singlets, and for an inverted light neutrino ordering,
future measurements from SHiP and neutrinoless double beta decay could in
principle provide sufficient information to predict the matter-antimatter
asymmetry in the universe. We also show that SHiP measurements could provide
very valuable information on the PMNS CP phases.Comment: Minor changes to match JHEP versio
Entanglement entropy in top-down models

We explore holographic entanglement entropy in ten-dimensional supergravity
solutions. It has been proposed that entanglement entropy can be computed in
such top-down models using minimal surfaces which asymptotically wrap the
compact part of the geometry. We show explicitly in a wide range of examples
that the holographic entanglement entropy thus computed agrees with the
entanglement entropy computed using the Ryu-Takayanagi formula from the
lower-dimensional Einstein metric obtained from reduction over the compact
space. Our examples include not only consistent truncations but also cases in
which no consistent truncation exists and Kaluza-Klein holography is used to
identify the lower-dimensional Einstein metric. We then give a general proof,
based on the Lewkowycz-Maldacena approach, of the top-down entanglement entropy
formula.Comment: 40 page
Four-dimensional unsubtraction from the loop-tree duality

We present a new algorithm to construct a purely four dimensional
representation of higher-order perturbative corrections to physical
cross-sections at next-to-leading order (NLO). The algorithm is based on the
loop-tree duality (LTD), and it is implemented by introducing a suitable
mapping between the external and loop momenta of the virtual scattering
amplitudes, and the external momenta of the real emission corrections. In this
way, the sum over degenerate infrared states is performed at integrand level
and the cancellation of infrared divergences occurs locally without introducing
subtraction counter-terms to deal with soft and final-state collinear
singularities. The dual representation of ultraviolet counter-terms is also
discussed in detail, in particular for self-energy contributions. The method is
first illustrated with the scalar three-point function, before proceeding with
the calculation of the physical cross-section for $\gamma^* \to q \bar{q}(g)$,
and its generalisation to multi-leg processes. The extension to
next-to-next-to-leading order (NNLO) is briefly commented.Comment: 39 pages, 7 figures. Final version published in JHE
Building a Holographic Superconductor with a Scalar Field Coupled
  Kinematically to Einstein Tensor

We study the holographic dual description of a superconductor in which the
gravity sector consists of a Maxwell field and a charged scalar field which
except its minimal coupling to gravity it is also coupled kinematically to
Einstein tensor. As the strength of the new coupling is increased, the critical
temperature below which the scalar field condenses is lowering, the
condensation gap decreases faster than the temperature, the width of the
condensation gap is not proportional to the size of the condensate and at low
temperatures the condensation gap tends to zero for the strong coupling. These
effects which are the result of the presence of the coupling of the scalar
field to the Einstein tensor in the gravity bulk, provide a dual description of
impurities concentration in a superconducting state on the boundary.Comment: 9 pages, 4 figures; V2: References added; Version accepted for
  publication in JHE
Entanglement, Holography and Causal Diamonds

We argue that the degrees of freedom in a d-dimensional CFT can be
re-organized in an insightful way by studying observables on the moduli space
of causal diamonds (or equivalently, the space of pairs of timelike separated
points). This 2d-dimensional space naturally captures some of the fundamental
nonlocality and causal structure inherent in the entanglement of CFT states.
For any primary CFT operator, we construct an observable on this space, which
is defined by smearing the associated one-point function over causal diamonds.
Known examples of such quantities are the entanglement entropy of vacuum
excitations and its higher spin generalizations. We show that in holographic
CFTs, these observables are given by suitably defined integrals of dual bulk
fields over the corresponding Ryu-Takayanagi minimal surfaces. Furthermore, we
explain connections to the operator product expansion and the first law of
entanglement entropy from this unifying point of view. We demonstrate that for
small perturbations of the vacuum, our observables obey linear two-derivative
equations of motion on the space of causal diamonds. In two dimensions, the
latter is given by a product of two copies of a two-dimensional de Sitter
space. For a class of universal states, we show that the entanglement entropy
and its spin-three generalization obey nonlinear equations of motion with local
interactions on this moduli space, which can be identified with Liouville and
Toda equations, respectively. This suggests the possibility of extending the
definition of our new observables beyond the linear level more generally and in
such a way that they give rise to new dynamically interacting theories on the
moduli space of causal diamonds. Various challenges one has to face in order to
implement this idea are discussed.Comment: 84 pages, 12 figures; v2: expanded discussion on constraints in
  section 7, matches published versio
General proof of the entropy principle for self-gravitating fluid in
  f(R) Gravity

The discussions on the connection between gravity and thermodynamics attract
much attention recently. We consider a static self-gravitating perfect fluid
system in $f(R)$ gravity, which is an important theory could explain the
accelerated expansion of the universe. We first show that the
Tolman-Oppenheimer-Volkoff equation of $f(R)$ theories can be obtained by
thermodynamical method in spherical symmetric spacetime. Then we prove that the
maximum entropy principle is also valid for $f(R)$ gravity in general static
spacetimes beyond spherical symmetry. The result shows that if the constraint
equation is satisfied and the temperature of fluid obeys Tolmans law, the
extrema of total entropy implies other components of gravitational equations.
Conversely, if $f(R)$ gravitational equation hold, the total entropy of the
fluid should be extremum. Our work suggests a general and solid connection
between $f(R)$ gravity and thermodynamics.Comment: 18 pages. arXiv admin note: text overlap with arXiv:1404.6601 by
  other author