pinecone/core-2020-05-10-deduplication huggingface dataset:
Refined BPS invariants of 6d SCFTs from anomalies and modularity

F-theory compactifications on appropriate local elliptic Calabi-Yau manifolds
engineer six dimensional superconformal field theories and their mass
deformations. The partition function $Z_{top}$ of the refined topological
string on these geometries captures the particle BPS spectrum of this class of
theories compactified on a circle. Organizing $Z_{top}$ in terms of
contributions $Z_\beta$ at base degree $\beta$ of the elliptic fibration, we
find that these, up to a multiplier system, are meromorphic Jacobi forms of
weight zero with modular parameter the Kaehler class of the elliptic fiber and
elliptic parameters the couplings and mass parameters. The indices with regard
to the multiple elliptic parameters are fixed by the refined holomorphic
anomaly equations, which we show to be completely determined from knowledge of
the chiral anomaly of the corresponding SCFT. We express $Z_\beta$ as a
quotient of weak Jacobi forms, with a universal denominator inspired by its
pole structure as suggested by the form of $Z_{top}$ in terms of 5d BPS
numbers. The numerator is determined by modularity up to a finite number of
coefficients, which we prove to be fixed uniquely by imposing vanishing
conditions on 5d BPS numbers as boundary conditions. We demonstrate the
feasibility of our approach with many examples, in particular solving the
E-string and M-string theories including mass deformations, as well as theories
constructed as chains of these. We make contact with previous work by showing
that spurious singularities are cancelled when the partition function is
written in the form advocated here. Finally, we use the BPS invariants of the
E-string thus obtained to test a generalization of the
Goettsche-Nakajima-Yoshioka $K$-theoretic blowup equation, as inspired by the
Grassi-Hatsuda-Marino conjecture, to generic local Calabi-Yau threefolds.Comment: 64 pages; v2: typos correcte
Warped $AdS_6\times S^2$ in Type IIB supergravity II: Global solutions
  and five-brane webs

Motivated by the construction of holographic duals to five-dimensional
superconformal quantum field theories, we obtain global solutions to Type IIB
supergravity invariant under the superalgebra $F(4)$ on a space-time of the
form $AdS_6 \times S^2$ warped over a two-dimensional Riemann surface $\Sigma$.
In earlier work, the general local solutions were expressed in terms of two
locally holomorphic functions $\mathcal A_\pm$ on $\Sigma$ and global solutions
were sketched when $\Sigma$ is a disk. In the present paper, the physical
regularity conditions on the supergravity fields required for global solutions
are implemented on $\mathcal A_\pm$ for arbitrary $\Sigma$. Global solutions
exist only when $\Sigma$ has a non-empty boundary $\partial \Sigma$. The
differentials $\partial \mathcal A_\pm$ are allowed to have poles only on
$\partial \Sigma$ and each pole corresponds to a semi-infinite $(p,q)$
five-brane. The construction for the disk is carried out in detail and the
conditions for the existence of global solutions are articulated for surfaces
with more than one boundary and higher genus.Comment: 58 pages, 9 figures; v2: minor corrections; v3: integration constant
  c_6 fixe
GeV-scale hot sterile neutrino oscillations: a derivation of evolution
  equations

Starting from operator equations of motion and making arguments based on a
separation of time scales, a set of equations is derived which govern the
non-equilibrium time evolution of a GeV-scale sterile neutrino density matrix
and active lepton number densities at temperatures T > 130 GeV. The density
matrix possesses generation and helicity indices; we demonstrate how helicity
permits for a classification of various sources for leptogenesis. The
coefficients parametrizing the equations are determined to leading order in
Standard Model couplings, accounting for the LPM resummation of 1+n <-> 2+n
scatterings and for all 2 <-> 2 scatterings. The regime in which sphaleron
processes gradually decouple so that baryon plus lepton number becomes a
separate non-equilibrium variable is also considered.Comment: 33 pages. v2: clarifications added; published versio
The component structure of conformal supergravity invariants in six
  dimensions

In the recent paper arXiv:1606.02921, the two invariant actions for 6D
$N=(1,0)$ conformal supergravity were constructed in superspace, corresponding
to the supersymmetrization of $C^3$ and $C\Box C$. In this paper, we provide
the translation from superspace to the component formulation of superconformal
tensor calculus, and we give the full component actions of these two
invariants. As a second application, we build the component form for the
supersymmetric $F\Box F$ action coupled to conformal supergravity. Exploiting
the fact that the $N=(2,0)$ Weyl multiplet has a consistent truncation to
$N=(1,0)$, we then verify that there is indeed only a single $N=(2,0)$
conformal supergravity invariant and reconstruct most of its bosonic terms by
uplifting a certain linear combination of $N=(1,0)$ invariants.Comment: 42 pages; supplementary file included in submission; v2: added
  references, corrected typos; v3: minor corrections, references adde
Quintessential Quartic Quasi-topological Quartet

We construct the quartic version of generalized quasi-topological gravity,
which was recently constructed to cubic order in arXiv: 1703.01631. This class
of theories includes Lovelock gravity and a known form of quartic
quasi-topological gravity as special cases and possess a number of remarkable
properties: (i) In vacuum, or in the presence of suitable matter, there is a
single independent field equation which is a total derivative. (ii) At the
linearized level, the equations of motion on a maximally symmetric background
are second order, coinciding with the linearized Einstein equations up to a
redefinition of Newton's constant. Therefore, these theories propagate only the
massless, transverse graviton on a maximally symmetric background. (iii) While
the Lovelock and quasi-topological terms are trivial in four dimensions, there
exist four new generalized quasi-topological terms (the quartet) that are
nontrivial, leading to interesting higher curvature theories in $d \geq 4$
dimensions that appear well suited for holographic study. We construct four
dimensional black hole solutions to the theory and study their properties. A
study of black brane solutions in arbitrary dimensions reveals that these
solutions are modified from the `universal' properties these solutions have.
This result may lead to interesting consequences for the dual CFTs.Comment: 46 pages, 1 figure. Discussion of black branes added to section
Three-dimensional Topological Insulators and Bosonization

Massless excitations at the surface of three-dimensional time-reversal
invariant topological insulators possess both fermionic and bosonic
descriptions, originating from band theory and hydrodynamic BF gauge theory,
respectively. We analyze the corresponding field theories of the Dirac fermion
and compactified boson and compute their partition functions on the
three-dimensional torus geometry. We then find some non-dynamic exact
properties of bosonization in (2+1) dimensions, regarding fermion parity and
spin sectors. Using these results, we extend the Fu-Kane-Mele stability
argument to fractional topological insulators in three dimensions.Comment: 54 pages, 11 figure
Supersymmetric Many-Body Systems from Partial Symmetries: Integrability,
  Localization and Scrambling

Partial symmetries are described by generalized group structures known as
symmetric inverse semigroups. We use the algebras arising from these structures
to realize supersymmetry in (0+1) dimensions and to build many-body quantum
systems on a chain. This construction consists in associating appropriate
supercharges to chain sites, in analogy to what is done in spin chains. For
simple enough choices of supercharges, we show that the resulting states have a
finite non-zero Witten index, which is invariant under perturbations, therefore
defining supersymmetric phases of matter protected by the index. The
Hamiltonians we obtain are integrable and display a spectrum containing both
product and entangled states. By introducing disorder and studying the
out-of-time-ordered correlators (OTOC), we find that these systems are in the
many-body localized phase and do not thermalize. Finally, we reformulate a
theorem relating the growth of the second Renyi entropy to the OTOC on a
thermal state in terms of partial symmetries.Comment: 45 pages, 7 figures; v2: 50 pages, Sec. 4 expanded and improved,
  published versio
Manifesting enhanced cancellations in supergravity: integrands versus
  integrals

Examples of "enhanced ultraviolet cancellations" with no known
standard-symmetry explanation have been found in a variety of supergravity
theories. By examining one- and two-loop examples in four- and five-dimensional
half-maximal supergravity, we argue that enhanced cancellations in general
cannot be exhibited prior to integration. In light of this, we explore
reorganizations of integrands into parts that are manifestly finite and parts
that have poor power counting but integrate to zero due to integral identities.
At two loops we find that in the large loop-momentum limit the required
integral identities follow from Lorentz and SL(2) relabeling symmetry. We carry
out a nontrivial check at four loops showing that the identities generated in
this way are a complete set. We propose that at $L$ loops the combination of
Lorentz and SL($L$) symmetry is sufficient for displaying enhanced
cancellations when they happen, whenever the theory is known to be ultraviolet
finite up to $(L-1)$ loops.Comment: 28 pages, 5 figure
Simplified dark matter models with two Higgs doublets: I. Pseudoscalar
  mediators

We study a new class of renormalisable simplified models for dark matter
searches at the LHC that are based on two Higgs doublet models with an
additional pseudoscalar mediator. In contrast to the spin-0 simplified models
employed in analyses of Run I data these models are self-consistent, unitary
and bounds from Higgs physics typically pose no constraints. Predictions for
various missing transverse energy ($E_{T, \rm miss}$) searches are discussed
and the reach of the 13 TeV LHC is explored. It is found that the proposed
models provide a rich spectrum of complementary observables that lead to
non-trivial constraints. We emphasise in this context the sensitivity of the
$t\bar t + E_{T, \rm miss}$, mono-$Z$ and mono-Higgs channels, which yield
stronger limits than mono-jet searches in large parts of the parameter space.
Constraints from spin-0 resonance searches, electroweak precision measurements
and flavour observables are also derived and shown to provide further important
handles to constraint and to test the considered dark matter models.Comment: 36 pages, 15 figures; v3: matches published versio
Surface Defects and Chiral Algebras

We investigate superconformal surface defects in four-dimensional N=2
superconformal theories. Each such defect gives rise to a module of the
associated chiral algebra and the surface defect Schur index is the character
of this module. Various natural chiral algebra operations such as
Drinfeld-Sokolov reduction and spectral flow can be interpreted as
constructions involving four-dimensional surface defects. We compute the index
of these defects in the free hypermultiplet theory and Argyres-Douglas
theories, using both infrared techniques involving BPS states, as well as
renormalization group flows onto Higgs branches. In each case we find perfect
agreement with the predicted characters.Comment: 52 pages, 1 tabl
Adiabatic pumping solutions in global AdS

We construct a family of very simple stationary solutions to gravity coupled
to a massless scalar field in global AdS. They involve a constantly rising
source for the scalar field at the boundary and thereby we name them pumping
solutions. We construct them numerically in $D=4$. They are regular and,
generically, have negative mass. We perform a study of linear and nonlinear
stability and find both stable and unstable branches. In the latter case,
solutions belonging to different sub-branches can either decay to black holes
or to limiting cycles. This observation motivates the search for non-stationary
exactly time-periodic solutions which we actually construct. We clarify the
role of pumping solutions in the context of quasistatic adiabatic quenches. In
$D=3$ the pumping solutions can be related to other previously known solutions,
like magnetic or translationally-breaking backgrounds. From this we derive an
analytic expression.Comment: 23+12 pages, 12 figures. Version published in JHE
Discrete gravity as a topological field theory with light-like curvature
  defects

I present a model of discrete gravity, which is formulated in terms of a
topological gauge theory with defects. The theory has no local degrees of
freedom and the gravitational field is trivial everywhere except at a number of
colliding null surfaces, which represent a system of curvature defects
propagating at the speed of light. The underlying action is local and it is
studied in both its Lagrangian and Hamiltonian formulation. The canonically
conjugate variables on the null surfaces are a spinor and a spinor-valued
two-surface density, which are coupled to a topological field theory for the
Lorentz connection in the bulk. I discuss the relevance of the model for
non-perturbative approaches to quantum gravity, such as loop quantum gravity,
where similar variables have recently appeared as well.Comment: 52 pages, one figure, one table, v2: published version with extended
  conclusio
Amplitude Analyses of $D^0 \to {\pi^+\pi^-\pi^+\pi^-}$ and $D^0 \to
  {K^+K^-\pi^+\pi^-}$ Decays

The resonant substructure of $D^0 \to \pi^+\pi^-\pi^+\pi^-$ decays is studied
using data collected by the CLEO-c detector. An amplitude analysis is performed
in order to disentangle the various intermediate state contributions. To limit
the model complexity a data driven regularization procedure is applied. The
prominent contributions are the decay modes $D^0\to a_1(1260)^+\pi^-$, $D^0\to
\sigma f_0(1370)$ and $D^0 \to \rho(770)^0 \rho(770)^0$. The broad resonances
$a_1(1260)^+$, $\pi(1300)^+$ and $a_1(1640)^+$ are studied in detail, including
quasi-model-independent parametrizations of their lineshapes. The mass and
width of the $a_1(1260)^+$ meson are determined to be
$m_{a_1(1260)^+}=[1225\pm9\text{(stat)}\pm17\text{(syst)}\pm10\text{(model)}]\text{MeV}/c^2$
and $\Gamma_{a_1(1260)^+}=[430\pm24\text{(stat)}\pm25
\text{(syst)}\pm18\text{(model)}]\text{MeV}$. The amplitude model of $D^0\to
K^+K^-\pi^+\pi^-$ decays obtained from CLEO II.V, CLEO III, and CLEO-c data is
revisited with improved lineshape parametrizations. The largest components are
the decay modes $D^0\to\phi(1020)\rho(770)^0$, $D^0 \to K_1(1270)^+ K^-$ and
$D^0 \to K(1400)^+ K^-$. The fractional $CP$-even content of the decay $D^0\to
\pi^+\pi^-\pi^+\pi^-$ is calculated from the amplitude model to be
$F_+^{4\pi}=[72.9\pm0.9\text{(stat)}\pm1.5\text{(syst)}\pm1.0\text{(model)}]\%$,
consistent with that obtained from a previous model-independent measurement.
For $D^0 \to K^+K^-\pi^+\pi^-$ decays, the $CP$-even fraction is measured for
the first time and found to be
$F_+^{KK\pi\pi}=[75.3\pm1.8\text{(stat)}\pm3.3\text{(syst)}\pm3.5\text{(model)}]\%$.
The global decay rate asymmetries between $D^0$ and $\overline{D}^0$ decays are
measured to be
$A^{4\pi}_{CP}=[+0.54\pm1.04\text{(stat)}\pm0.51\text{(syst)}]\%$ and
$A^{KK\pi\pi}_{CP}=[+1.84\pm1.74\text{(stat)}\pm0.30\text{(syst)}]\%$.Comment: 62 pages, 18 figures, 24 table
Small Vacuum Energy from Small Equivalence Violation in Scalar Gravity

The theory of scalar gravity proposed by Nordstr\"{o}m, and refined by
Einstein and Fokker, provides a striking analogy to general relativity. In its
modern form, scalar gravity appears as the low-energy effective field theory of
the spontaneous breaking of conformal symmetry within a CFT, and is AdS/CFT
dual to the original Randall-Sundrum I model, but without a UV brane. Scalar
gravity faithfully exhibits several qualitative features of the cosmological
constant problem of standard gravity coupled to quantum matter, and the
Weinberg no-go theorem can be extended to this case as well. Remarkably, a
solution to the scalar gravity cosmological constant problem has been proposed,
where the key is a very small violation of the scalar equivalence principle,
which can be elegantly formulated as a particular type of deformation of the
CFT. In the dual AdS picture this involves implementing Goldberger-Wise radion
stabilization where the Goldberger-Wise field is a pseudo-Nambu Goldstone
boson. In quantum gravity however, global symmetries protecting pNGBs are not
expected to be fundamental. We provide a natural six-dimensional gauge theory
origin for this global symmetry and show that the violation of the equivalence
principle and the size of the vacuum energy seen by scalar gravity can
naturally be exponentially small. Our solution may be of interest for study of
non-supersymmetric CFTs in the spontaneously broken phase.Comment: 22 page
Weakly Supervised Classification in High Energy Physics

As machine learning algorithms become increasingly sophisticated to exploit
subtle features of the data, they often become more dependent on simulations.
This paper presents a new approach called weakly supervised classification in
which class proportions are the only input into the machine learning algorithm.
Using one of the most challenging binary classification tasks in high energy
physics - quark versus gluon tagging - we show that weakly supervised
classification can match the performance of fully supervised algorithms.
Furthermore, by design, the new algorithm is insensitive to any mis-modeling of
discriminating features in the data by the simulation. Weakly supervised
classification is a general procedure that can be applied to a wide variety of
learning problems to boost performance and robustness when detailed simulations
are not reliable or not available.Comment: 8 pages, 4 figure
An effective strong-coupling theory of composite particles in UV-domain

We briefly review the effective field theory of massive composite particles,
their gauge couplings and characteristic energy scale in the UV-domain of
UV-stable fixed point of strong four-fermion coupling, then mainly focus the
discussions on the decay channels of composite particles into the final states
of the SM gauge bosons, leptons and quarks. We calculate the rates of composite
bosons decaying into two gauge bosons $\gamma\gamma$, $\gamma Z^0$, $W^+W^-$,
$Z^0Z^0$ and give the ratios of decay rates of different channels depending on
gauge couplings only. It is shown that a composite fermion decays into an
elementary fermion and a composite boson, the latter being an intermediate
state decays into two gauge bosons, leading to a peculiar kinematics of final
states of a quark (or a lepton) and two gauge bosons. These provide
experimental implications of such an effective theory of composite particles
beyond the SM. We also present some speculative discussions on the channels of
composite fermions decaying into $WW$, $WZ$ and $ZZ$ two boson-tagged jets with
quark jets, or to four-quark jets. Moreover, at the same energy scale of
composite particles produced in high-energy experiments, composite particles
are also produced by high-energy sterile neutrino (dark matter) collisions,
their decays lead to excesses of cosmic ray particles in space and signals of
SM particles in underground laboratories.Comment: Final version published in JHEP, 54 pages, 6 figure
More on microstate geometries of 4d black holes

We construct explicit examples of microstate geometries of four-dimensional
black holes that lift to smooth horizon-free geometries in five dimensions.
Solutions consist of half-BPS D-brane atoms distributed in $\mathbb{R}^3$.
Charges and positions of the D-brane centers are constrained by the bubble
equations and boundary conditions ensuring the regularity of the metric and the
match with the black hole geometry. In the case of three centers, we find that
the moduli spaces of solutions includes disjoint one-dimensional components of
(generically) finite volume.Comment: 25 page
Causality and Unitarity via the Tree-Loop Duality Relation

The tree-loop duality relation is used as a starting point to derive the
constraints of causality and unitarity. Specifically, the Bogoliubov causality
condition is ab initio derived at the individual graph level. It leads to a
representation of a graph in terms of lower order cut graphs. Extracting the
absorptive part gives then the general unitarity relation (Cutkosky rule). The
derivation, being carried out directly in momentum space, holds for any local
(polynomial) hermitian interaction vertices. This is in contrast to the
technical difficulties arising from contact terms in the spacetime approach
based on the largest time equation.Comment: 23 pages, 5 figures, typos corrected, some added references and
  concluding remarks, published versio
Masses of Open-Flavour Heavy-Light Hybrids from QCD Sum-Rules

We use QCD Laplace sum-rules to predict masses of open-flavour heavy-light
hybrids where one of the hybrid's constituent quarks is a charm or bottom and
the other is an up, down, or strange. We compute leading-order, diagonal
correlation functions of several hybrid interpolating currents, taking into
account QCD condensates up to dimension-six, and extract hybrid mass
predictions for all $J^P\in\{0^{\pm},\,1^{\pm}\}$, as well as explore possible
mixing effects with conventional quark-antiquark mesons. Within theoretical
uncertainties, our results are consistent with a degeneracy between the
heavy-nonstrange and heavy-strange hybrids in all $J^P$ channels. We find a
similar mass hierarchy of $1^+$, $1^{-}$, and $0^+$ states (a $1^{+}$ state
lighter than essentially degenerate $1^{-}$ and $0^{+}$ states) in both the
charm and bottom sectors, and discuss an interpretation for the $0^-$ states.
If conventional meson mixing is present the effect is an increase in the hybrid
mass prediction, and we estimate an upper bound on this effect.Comment: 24 pages, 8 figures. Mass predictions updated from previous version
  to reflect corrected sign error in sum rule analysis. Mixing analysis and
  examination of higher weight sum-rules added. To be published in JHE
Three-form periods on Calabi-Yau fourfolds: Toric hypersurfaces and
  F-theory applications

The study of the geometry of Calabi-Yau fourfolds is relevant for
compactifications of string theory, M-theory, and F-theory to various
dimensions. This work introduces the mathematical machinery to derive the
complete moduli dependence of the periods of non-trivial three-forms for
fourfolds realized as hypersurfaces in toric ambient spaces. It sets the stage
to determine Picard-Fuchs-type differential equations and integral expressions
for these forms. The key tool is the observation that non-trivial three-forms
on hypersurfaces in toric ambient spaces always stem from divisors that are
build out of toric resolution trees fibered over Riemann surfaces. The
three-form periods are then non-trivially related to the one-form periods of
these surfaces. In general, the three-form periods are known to vary
holomorphically over the complex structure moduli space and play an important
role in the effective actions arising in fourfold compactifications. We discuss
two explicit example fourfolds for F-theory compactifications in which the
three-form periods determine axion decay constants.Comment: 49 pages, 2 figures, v2: JHEP version, typos corrected, technical
  details moved to appendi