pinecone/core-2020-05-10-deduplication huggingface dataset:
The non-compact elliptic genus: mock or modular

We analyze various perspectives on the elliptic genus of non-compact
supersymmetric coset conformal field theories with central charge larger than
three. We calculate the holomorphic part of the elliptic genus via a free field
description of the model, and show that it agrees with algebraic expectations.
The holomorphic part of the elliptic genus is directly related to an
Appell-Lerch sum and behaves anomalously under modular transformation
properties. We analyze the origin of the anomaly by calculating the elliptic
genus through a path integral in a coset conformal field theory. The path
integral codes both the holomorphic part of the elliptic genus, and a
non-holomorphic remainder that finds its origin in the continuous spectrum of
the non-compact model. The remainder term can be shown to agree with a function
that mathematicians introduced to parameterize the difference between mock
theta functions and Jacobi forms. The holomorphic part of the elliptic genus
thus has a path integral completion which renders it non-holomorphic and
modular.Comment: 13 page
The Regge Limit for Green Functions in Conformal Field Theory

We define a Regge limit for off-shell Green functions in quantum field
theory, and study it in the particular case of conformal field theories (CFT).
Our limit differs from that defined in arXiv:0801.3002, the latter being only a
particular corner of the Regge regime. By studying the limit for free CFTs, we
are able to reproduce the Low-Nussinov, BFKL approach to the pomeron at weak
coupling. The dominance of Feynman graphs where only two high momentum lines
are exchanged in the t-channel, follows simply from the free field analysis. We
can then define the BFKL kernel in terms of the two point function of a simple
light-like bilocal operator. We also include a brief discussion of the gravity
dual predictions for the Regge limit at strong coupling.Comment: 23 pages 2 figures, v2: Clarification of relation of the Regge limit
  defined here and previous work in CFT. Clarification of causal orderings in
  the limit. References adde
Exactly Marginal Deformations and Global Symmetries

We study the problem of finding exactly marginal deformations of N=1
superconformal field theories in four dimensions. We find that the only way a
marginal chiral operator can become not exactly marginal is for it to combine
with a conserved current multiplet. Additionally, we find that the space of
exactly marginal deformations, also called the "conformal manifold," is the
quotient of the space of marginal couplings by the complexified continuous
global symmetry group. This fact explains why exactly marginal deformations are
ubiquitous in N=1 theories. Our method turns the problem of enumerating exactly
marginal operators into a problem in group theory, and substantially extends
and simplifies the previous analysis by Leigh and Strassler. We also briefly
discuss how to apply our analysis to N=2 theories in three dimensions.Comment: 23 pages, 2 figure
Numerical Hermitian Yang-Mills Connections and Vector Bundle Stability
  in Heterotic Theories

A numerical algorithm is presented for explicitly computing the gauge
connection on slope-stable holomorphic vector bundles on Calabi-Yau manifolds.
To illustrate this algorithm, we calculate the connections on stable monad
bundles defined on the K3 twofold and Quintic threefold. An error measure is
introduced to determine how closely our algorithmic connection approximates a
solution to the Hermitian Yang-Mills equations. We then extend our results by
investigating the behavior of non slope-stable bundles. In a variety of
examples, it is shown that the failure of these bundles to satisfy the
Hermitian Yang-Mills equations, including field-strength singularities, can be
accurately reproduced numerically. These results make it possible to
numerically determine whether or not a vector bundle is slope-stable, thus
providing an important new tool in the exploration of heterotic vacua.Comment: 52 pages, 15 figures. LaTex formatting of figures corrected in
  version 2
Semi-annihilation of Dark Matter

We show that the thermal relic abundance of dark matter can be affected by a
new type of reaction: semi-annihilation. Semi-annihilation takes the schematic
form X_i X_j -> X_k phi, where X_i are stable dark matter particles and phi is
an unstable state. Such reactions are generically present when dark matter is
composed of more than one species with "flavor" and/or "baryon" symmetries. We
give a complete set of coupled Boltzmann equations in the presence of
semi-annihilations, and study two toy models featuring this process.
Semi-annihilation leads to non-trivial dark matter dynamics in the early
universe, often dominating over ordinary annihilation in determining the relic
abundance. This process also has important implications for indirect detection
experiments, by enriching the final state spectrum from dark matter
(semi-)annihilation in the Milky Way.Comment: 35 pages, 12 figures, 4 tables; v2, references added; v3, version
  published in JHE
Non-linear evolution in CCFM: The interplay between coherence and
  saturation

We solve the CCFM equation numerically in the presence of a boundary
condition which effectively incorporates the non-linear dynamics. We retain the
full dependence of the unintegrated gluon distribution on the coherence scale,
and extract the saturation momentum. The resulting saturation scale is a
function of both rapidity and the coherence momentum. In Deep Inelastic
Scattering this will lead to a dependence of the saturation scale on the photon
virtuality in addition to the usual x-Bjorken dependence. At asymptotic
energies the interplay between the perturbative non-linear physics, and that of
the QCD coherence, leads to an interesting and novel dynamics where the
saturation momentum itself eventually saturates. We also investigate various
implementations of the "non-Sudakov" form factor. It is shown that the
non-linear dynamics leads to almost identical results for different form
factors. Finally, different choices of the scale of the running coupling are
analyzed and implications for the phenomenology are discussed.Comment: 37 pages, 21 figure
The Cosmology of Composite Inelastic Dark Matter

Composite dark matter is a natural setting for implementing inelastic dark
matter - the O(100 keV) mass splitting arises from spin-spin interactions of
constituent fermions. In models where the constituents are charged under an
axial U(1) gauge symmetry that also couples to the Standard Model quarks, dark
matter scatters inelastically off Standard Model nuclei and can explain the
DAMA/LIBRA annual modulation signal. This article describes the early Universe
cosmology of a minimal implementation of a composite inelastic dark matter
model where the dark matter is a meson composed of a light and a heavy quark.
The synthesis of the constituent quarks into dark mesons and baryons results in
several qualitatively different configurations of the resulting dark matter
hadrons depending on the relative mass scales in the system.Comment: 31 pages, 4 figures; references added, typos correcte
Charge Lattices and Consistency of 6D Supergravity

We extend the known consistency conditions on the low-energy theory of
six-dimensional N = 1 supergravity. We review some facts about the theory of
two-form gauge fields and conclude that the charge lattice Gamma for such a
theory has to be self-dual. The Green-Schwarz anomaly cancellation conditions
in the supergravity theory determine a sublattice of Gamma. The condition that
this sublattice can be extended to a self-dual lattice Gamma leads to a strong
constraint on theories that otherwise appear to be self-consistent.Comment: 15 pages. v2: minor changes; references, additional example added;
  v3: minor corrections and clarifications added, JHEP versio
Exploring the CP-Violating Inert-Doublet Model

We have explored properties of an extension of the Inert Doublet Model by the
addition of an extra non-inert scalar doublet. The model offers a possibility
of CP violation in the scalar sector and a candidate for the Dark Matter.
Allowed regions in the plane spanned by the mass of the Dark-Matter particle
and the lightest neutral Higgs particle have been identified, and constraints
from direct and indirect-detection experiments have been studied. For favorable
parameter regions one may observe long-lived charged particles produced at the
LHC.Comment: 39 pages, several figures. v2: Extraneous figures removed, name
  corrected. v3: version to appear in JHE
Spin-2 spectrum of defect theories

We study spin-2 excitations in the background of the recently-discovered
type-IIB solutions of D'Hoker et al. These are holographically-dual to defect
conformal field theories, and they are also of interest in the context of the
Karch-Randall proposal for a string-theory embedding of localized gravity. We
first generalize an argument by Csaki et al to show that for any solution with
four-dimensional anti-de Sitter, Poincare or de Sitter invariance the spin-2
excitations obey the massless scalar wave equation in ten dimensions. For the
interface solutions at hand this reduces to a Laplace-Beltrami equation on a
Riemann surface with disk topology, and in the simplest case of the
supersymmetric Janus solution it further reduces to an ordinary differential
equation known as Heun's equation. We solve this equation numerically, and
exhibit the spectrum as a function of the dilaton-jump parameter $\Delta\phi$.
In the limit of large $\Delta\phi$ a nearly-flat linear-dilaton dimension grows
large, and the Janus geometry becomes effectively five-dimensional. We also
discuss the difficulties of localizing four-dimensional gravity in the more
general backgrounds with NS5-brane or D5-brane charge, which will be analyzed
in detail in a companion paper.Comment: 41 pages, 6 figure
Bino Dark Matter and Big Bang Nucleosynthesis in the Constrained E6SSM
  with Massless Inert Singlinos

We discuss a new variant of the E6 inspired supersymmetric standard model
(E6SSM) in which the two inert singlinos are exactly massless and the dark
matter candidate has a dominant bino component. A successful relic density is
achieved via a novel mechanism in which the bino scatters inelastically into
heavier inert Higgsinos during the time of thermal freeze-out. The two massless
inert singlinos contribute to the effective number of neutrino species at the
time of Big Bang Nucleosynthesis, where the precise contribution depends on the
mass of the Z' which keeps them in equilibrium. For example for mZ' > 1300 GeV
we find Neff \approx 3.2, where the smallness of the additional contribution is
due to entropy dilution. We study a few benchmark points in the constrained
E6SSM with massless inert singlinos to illustrate this new scenario.Comment: 24 pages, revised for publication in JHE
A Novel Formula for Bulk Viscosity from the Null Horizon Focusing
  Equation

The null horizon focusing equation is equivalent via the fluid/gravity
correspondence to the entropy balance law of the fluid. Using this equation we
derive a simple novel formula for the bulk viscosity of the fluid. The formula
is expressed in terms of the dependence of scalar fields at the horizon on
thermodynamic variables such as the entropy and charge densities. We apply the
formula to three classes of gauge theory plasmas: non-conformal branes,
perturbations of the N=4 supersymmetric Yang-Mills theory and holographic
models of QCD, and discuss its range of applicability.Comment: 23 pages, 1 appendi
Superconformal indices of three-dimensional theories related by mirror
  symmetry

Recently, Kim and Imamura and Yokoyama derived an exact formula for
superconformal indices in three-dimensional field theories. Using their
results, we prove analytically the equality of superconformal indices in some
U(1)-gauge group theories related by the mirror symmetry. The proofs are based
on the well known identities of the theory of $q$-special functions. We also
suggest the general index formula taking into account the $U(1)_J$ global
symmetry present for abelian theories.Comment: 17 pages; minor change
Semi-Holographic Fermi Liquids

We show that the universal physics of recent holographic non-Fermi liquid
models is captured by a semi-holographic description, in which a dynamical
boundary field is coupled to a strongly coupled conformal sector having a
gravity dual. This allows various generalizations, such as a dynamical exponent
and lattice and impurity effects. We examine possible relevant deformations,
including multi-trace terms and spin-orbit effects. We discuss the matching
onto the UV theory of the earlier work, and an alternate description in which
the boundary field is integrated out.Comment: 26 pages, 4 figures; v2: typos corrected and report number adde
Vector-Vector scattering at the LHC with two charged leptons and two
  neutrinos in the final state

A complete parton level analysis of 2l2v2j and 4l2j, l = mu,e production at
the LHC is presented, including all processes at order alpha^6,
alpha^4*alpha_s^2. The infinite Higgs mass scenario, which is considered as a
benchmark for strong scattering theories and is the limiting case for composite
Higgs models, and one example of Strongly Interacting Light Higgs models are
confronted with the Standard Model light Higgs predictions. This analysis is
combined with the results in the lv4j, the ll4j and the 3lv2j channels
presented in previous papers, in order to determine whether these alternative
Higgs frameworks can be detected as an excess of events in boson--boson
scattering.Comment: Version accepted by JHE
Holographic Correlation Functions for Open Strings and Branes

In this paper, we compute holographically the two-point and three-point
functions of giant gravitons with open strings. We consider the maximal giant
graviton in $S^5$ and the string configurations corresponding to the ground
states of Z=0 and Y=0 open spin chain, and the spinning string in AdS$_5$
corresponding to the derivative type impurities in Y=0 or Z=0 open spin chain
as well. We treat the D-brane and open string contribution separately and find
the corresponding D3-brane and string configurations in bulk which connect the
composite operators at the AdS$_5$ boundary. We apply a new prescription to
treat the string state contribution and find agreements for the two-point
functions. For the three-point functions of two giant gravitons with open
strings and one certain half-BPS chiral primary operator, we find that the
D-brane contributions to structure constant are always vanishing and the open
string contribution for the Y=0 ground state is in perfect match with the
prediction in the free field limit.Comment: 25 page
Probing Non-leptonic Two-body Decays of $B_c$ meson

Rates and CP asymmetries of the non-leptonic two-body decay of $B_c$ are
calculated based on the low energy effective Hamiltonian. We concentrate on
such $b$ quark decays of the processes with $0^-$ and $1^-$ S-wave particles
and/or $0^+$ and $1^+$ P-wave particles in the final states. The Salpeter
method, which is the relativistic instantaneous approximation of the original
Bethe-Salpeter equation, is used to derive hadron transition matrix elements.
Based on the calculation, it is found that the best decay channels to observe
CP violation are $B_c^-\rightarrow \eta_c +D^-(D^{*-}_0)$, which need about
$\sim10^7$ $B_c$ events in experiment. Decays to $ \eta_c +D^{*-}(D_s^-),
h_c+D^-(D^{*-})(D^{*-}_0), J/\Psi+D^{*-}$ are also hopeful channels.Comment: 17 pages, 2 figures, 7 table
Soliton pair creation in classical wave scattering

We study classical production of soliton-antisoliton pairs from colliding
wave packets in (1+1)-dimensional scalar field model. Wave packets represent
multiparticle states in quantum theory; we characterize them by energy E and
particle number N. Sampling stochastically over the forms of wave packets, we
find the entire region in (E,N) plane which corresponds to classical creation
of soliton pairs. Particle number is parametrically large within this region
meaning that the probability of soliton-antisoliton pair production in
few-particle collisions is exponentially suppressed.Comment: 16 pages, 8 figures, journal version; misprint correcte
The open string membrane paradigm with external electromagnetic fields

We study the effective geometry felt by the fluctuations of open strings
living on the worldvolume of probe D-branes in the presence of background
electromagnetic fields. This is captured by an effective action consisting of a
Maxwell term and a topological term, with the role of the metric played by the
open string metric. Studying generalized Eddington-Finkelstein coordinates for
stationary but non-static manifolds, we consider an open string membrane
paradigm to obtain a generic formula for the DC transport coefficients,
including the effect of external electromagnetic fields present on the
worldvolume of the probe branes. We show that the previously studied singular
shell, present when a critical electric field strength is turned on, behaves as
a horizon for the open string degrees of freedom. The results of this analysis
can be used to define a membrane paradigm for a very general class of
spacetimes with non-diagonal metrics.Comment: 31 pages, 3 figures, v2: Appendix added, minor correction
Extended SUSY quantum mechanics: transition amplitudes and path
  integrals

Quantum mechanical models with extended supersymmetry find interesting
applications in worldline approaches to relativistic field theories. In this
paper we consider one-dimensional nonlinear sigma models with O(N) extended
supersymmetry on the worldline, which are used in the study of higher spin
fields on curved backgrounds. We calculate the transition amplitude for
euclidean times (i.e. the heat kernel) in a perturbative expansion, using both
canonical methods and path integrals. The latter are constructed using three
different regularization schemes, and the corresponding counterterms that
ensure scheme independence are explicitly identified.Comment: 1+26 page
From lightcone actions to maximally supersymmetric amplitudes

In this article actions for N=4 SYM and N=8 supergravity are formulated in
terms of a chiral superfield, which contains only the physical degrees of
freedom of either theory. In these new actions, which originate from the
lightcone superspace, the supergravity cubic vertex is the square of the gauge
theory one (omitting the color structures). Amplitude calculations using the
corresponding Feynman supergraph rules are tedious, but can be simplified by
choosing a preferred superframe. Recursive calculations of all MHV amplitudes
in N=4 SYM and the four-point N=8 supergravity amplitude are shown to agree
with the known results and connections to the BCFW recursion relations are
pointed out. Finally, the new path integrals are discussed in the context of
the double-copy property relating N=4 SYM theory to N=8 supergravity.Comment: 29 pages, 2 figures, v2: title modified, published versio
The Virtue of Defects in 4D Gauge Theories and 2D CFTs

We advance a correspondence between the topological defect operators in
Liouville and Toda conformal field theories - which we construct - and loop
operators and domain wall operators in four dimensional N=2 supersymmetric
gauge theories on S^4. Our computation of the correlation functions in
Liouville/Toda theory in the presence of topological defect operators, which
are supported on curves on the Riemann surface, yields the exact answer for the
partition function of four dimensional gauge theories in the presence of
various walls and loop operators; results which we can quantitatively
substantiate with an independent gauge theory analysis. As an interesting
outcome of this work for two dimensional conformal field theories, we prove
that topological defect operators and the Verlinde loop operators are different
descriptions of the same operators.Comment: 59 pages, latex; v2 corrections to some formula
Search for physics beyond the standard model in opposite-sign dilepton events in pp collisions at √s = 7 TeV

A search is presented for physics beyond the standard model (SM) in final states with opposite-sign isolated lepton pairs accompanied by hadronic jets and missing transverse energy. The search is performed using LHC data recorded with the CMS detector, corresponding to an integrated luminosity of 34 inverse picobarns. No evidence for an event yield beyond SM expectations is found. An upper limit on the non-SM contribution to the signal region is deduced from the results. This limit is interpreted in the context of the constrained minimal supersymmetric model. Additional information is provided to allow testing the exclusion of specific models of physics beyond the SM
Some necessary conditions for allowing the PQ scale as high as M_{GUT}
  in SUSY models with an axino or neutralino LSP

We examine some conditions which are needed to allow the Peccei-Quinn scale
(f_a) as high as the SUSY GUT scale (M_{GUT} \sim 10^{16} GeV) in the context
of the PQMSSM with either an axino or a neutralino LSP. The main problem in
non-SUSY models with f_a\sim M_{GUT} is the generation of an overabundance of
axion dark matter (\sim f_a^{7/6}) due to vacuum misalignment. We show that
once all the components of the axion supermultiplet are included, the upper
limit on f_a can be evaded due to large entropy injection from saxion decays.
This large entropy injection also dilutes all other quasi-stable relic
densities, naturally evading the BBN constraints and solving the gravitino
problem. We find that f_a\sim M_{GUT} can be allowed by relic density/BBN
constraints provided that the saxion mass m_s> 50 TeV, the initial saxion field
value is of order of the PQ scale and the initial axion mis-alignment angle
\theta_i\alt 0.05 . These restrictions can be considerably loosened for f_a\sim
10^{15} GeV. The allowed range for the re-heat temperature (T_R) is strongly
dependent on the nature of the LSP. For the axino LSP, T_R \gtrsim 10^8 GeV,
while for neutralino LSP any value is allowed. In the latter case, f_a\sim
M_{GUT} can be more easily accommodated than in the axino LSP scenario. For
f_a\sim M_{GUT} in SUSY models, the dark matter abundance should be dominated
by axions, albeit with mass m_a\sim 10^{-10} eV, far below the region currently
probed by experiment.Comment: 29 pages including 14 .eps figure
Nonlinear Dynamics of 3D Massive Gravity

We explore the nonlinear classical dynamics of the three-dimensional theory
of "New Massive Gravity" proposed by Bergshoeff, Hohm and Townsend. We find
that the theory passes remarkably highly nontrivial consistency checks at the
nonlinear level. In particular, we show that: (1) In the decoupling limit of
the theory, the interactions of the helicity-0 mode are described by a single
cubic term -- the so-called cubic Galileon -- previously found in the context
of the DGP model and in certain 4D massive gravities. (2) The conformal mode of
the metric coincides with the helicity-0 mode in the decoupling limit. Away
from this limit the nonlinear dynamics of the former is described by a certain
generalization of Galileon interactions, which like the Galileons themselves
have a well-posed Cauchy problem. (3) We give a non-perturbative argument based
on the presence of additional symmetries that the full theory does not lead to
any extra degrees of freedom, suggesting that a 3D analog of the 4D
Boulware-Deser ghost is not present in this theory. Last but not least, we
generalize "New Massive Gravity" and construct a class of 3D cubic order
massive models that retain the above properties.Comment: 21 page