pinecone/core-2020-05-10-deduplication huggingface dataset:
F-theory and AdS_3/CFT_2

We construct supersymmetric AdS_3 solutions in F-theory, that is Type IIB
supergravity with varying axio-dilaton, which are holographically dual to 2d
N=(0,4) superconformal field theories with small superconformal algebra. In
F-theory these arise from D3-branes wrapped on curves in the base of an
elliptically fibered Calabi-Yau threefold Y_3 and correspond to strings in the
6d N=(1,0) theory obtained from F-theory on Y_3. The non-trivial fibration over
the wrapped curves implies a varying coupling of the N=4 Super-Yang-Mills
theory on the D3-branes. We compute the holographic central charges and show
that these agree with the field theory and with the anomalies of self-dual
strings in 6d. We complement our analysis with a discussion of the dual
M-theory solutions and a comparison of the central charges.Comment: 83 pages, v2: references added, typos correcte
Macdonald Index and Chiral Algebra

For any 4d N=2 SCFT, there is a subsector described by a 2d chiral algebra.
The vacuum character of the chiral algebra reproduces the Schur index of the
corresponding 4d theory. The Macdonald index counts the same set of operators
as the Schur index, but the former has one more fugacity than the latter. We
conjecture a prescription to obtain the Macdonald index from the chiral
algebra. The vacuum module admits a filtration, from which we construct an
associated graded vector space. From this grading, we conjecture a notion of
refined character for the vacuum module of a chiral algebra, which reproduces
the Macdonald index. We test this prescription for the Argyres-Douglas theories
of type $(A_1, A_{2n})$ and $(A_1, D_{2n+1})$ where the chiral algebras are
given by Virasoro and su(2) affine Kac-Moody algebra. When the chiral algebra
has more than one family of generators, our prescription requires a knowledge
of the generators from the 4d.Comment: 25 pages, v2: major revision. Clarified the prescription to get the
  Macdonald grading; v3: corrected hyperlinks to the references. To appear in
  JHE
Heavy-Heavy-Light-Light correlators in Liouville theory

We compute four-point functions of two heavy and two "perturbatively heavy"
operators in the semiclassical limit of Liouville theory on the sphere. We
obtain these "Heavy-Heavy-Light-Light" (HHLL) correlators to leading order in
the conformal weights of the light insertions in two ways: (a) via a path
integral approach, combining different methods to evaluate correlation
functions from complex solutions for the Liouville field, and (b) via the
conformal block expansion. This latter approach identifies an integral over the
continuum of normalizable states and a sum over an infinite tower of lighter
discrete states, whose contribution we extract by analytically continuing
standard results to our HHLL setting. The sum over this tower reproduces the
sum over those complex saddlepoints of the path integral that contribute to the
correlator. Our path integral computations reveal that when the two light
operators are inserted at equal time in radial quantization, the leading-order
HHLL correlator is independent of their separation, and more generally that at
this order there is no short-distance singularity as the two light operators
approach each other. The conformal block expansion likewise shows that in the
discrete sum short-distance singularities are indeed absent for all
intermediate states that contribute. In particular, the Virasoro vacuum block,
which would have been singular at short distances, is not exchanged. The
separation-independence of equal-time correlators is due to cancelations
between the discrete contributions. These features lead to a Lorentzian
singularity that, in conformal theories with anti-de Sitter (AdS) duals, would
be associated to locality below the AdS scale.Comment: 40 pages, 1 figure; v2: clarifications added, minor typos corrected,
  published versio
Re-derived overclosure bound for the inert doublet model

We apply a formalism accounting for thermal effects (such as modified
Sommerfeld effect; Salpeter correction; decohering scatterings; dissociation of
bound states), to one of the simplest WIMP-like dark matter models, associated
with an "inert" Higgs doublet. A broad temperature range T ~ M/20...M/10^4 is
considered, stressing the importance and less-understood nature of late
annihilation stages. Even though only weak interactions play a role, we find
that resummed real and virtual corrections increase the tree-level overclosure
bound by 1...18%, depending on quartic couplings and mass splittings.Comment: 29 pages. v2: clarifications added, published versio
Non-Renormalization For Non-Supersymmetric Black Holes

We analyze large logarithmic corrections to 4D black hole entropy and relate
them to the Weyl anomaly. We use duality to show that counter-terms in
Einstein-Maxwell theory can be expressed in terms of geometry alone, with no
dependence on matter terms. We analyze the two known $\mathcal{N} = 2$
supersymmetric invariants for various non-supersymmetric black holes and find
that both reduce to the Euler invariant. The $c$-anomaly therefore vanishes in
these theories and the coefficient of the large logarithms becomes topological.
It is therefore independent of continuous black hole parameters, such as the
mass, even far from extremality.Comment: 29 pages + appendices, 3 table
Critical behavior of the black hole / black string transition

We numerically construct static localized black holes in five and six
spacetime dimensions which are solutions to Einstein's vacuum field equations
with one compact periodic dimension. In particular, we investigate the critical
regime in which the poles of the localized black hole are about to merge. A
well adapted multi-domain pseudo-spectral scheme provides us with accurate
results and enables us to investigate the phase diagram of those localized
solutions within the critical regime, which goes far beyond previous results.
We find that in this regime the phase diagram possesses a spiral structure
adapting to the one recently found for non-uniform black strings. When
approaching the common endpoint of both phases, the behavior of physical
quantities is described by complex critical exponents giving rise to a discrete
scaling symmetry. The numerically obtained values of the critical exponents
agree remarkably well with those derived from the double-cone metric.Comment: Version 4: matched with journal version but fixed a sign error in
  equation (16) (accidentally, version 3 does not contain changes compared to
  version 2
Maximal Cuts in Arbitrary Dimension

We develop a systematic procedure for computing maximal unitarity cuts of
multiloop Feynman integrals in arbitrary dimension. Our approach is based on
the Baikov representation in which the structure of the cuts is particularly
simple. We examine several planar and nonplanar integral topologies and
demonstrate that the maximal cut inherits IBPs and dimension shift identities
satisfied by the uncut integral. Furthermore, for the examples we calculated,
we find that the maximal cut functions from different allowed regions, form the
Wronskian matrix of the differential equations on the maximal cut.Comment: typos corrected, more references adde
Anomaly-Free Dark Matter Models are not so Simple

We explore the anomaly-cancellation constraints on simplified dark matter
(DM) models with an extra U(1)$^\prime$ gauge boson $Z'$. We show that, if the
Standard Model (SM) fermions are supplemented by a single DM fermion $\chi$
that is a singlet of the SM gauge group, and the SM quarks have non-zero
U(1)$^\prime$ charges, the SM leptons must also have non-zero U(1)$^\prime$
charges, in which case LHC searches impose strong constraints on the $Z'$ mass.
Moreover, the DM fermion $\chi$ must have a vector-like U(1)$^\prime$ coupling.
If one requires the DM particle to have a purely axial U(1)$^\prime$ coupling,
which would be the case if $\chi$ were a Majorana fermion and would reduce the
impact of direct DM searches, the simplest possibility is that it is
accompanied by one other new singlet fermion, but in this case the
U(1)$^\prime$ charges of the SM leptons still do not vanish. This is also true
in a range of models with multiple new singlet fermions with identical charges.
Searching for a leptophobic model, we then introduce extra fermions that
transform non-trivially under the SM gauge group. We find several such models
if the DM fermion is accompanied by two or more other new fermions with
non-identical charges, which may have interesting experimental signatures. We
present benchmark representatives of the various model classes we discuss.Comment: 19 pages, 0 figures, this v2 matches version accepted for publicatio
Extending the Universal One-Loop Effective Action: Heavy-Light
  Coefficients

The Universal One-Loop Effective Action (UOLEA) is a general expression for
the effective action obtained by evaluating in a model-independent way the
one-loop expansion of a functional path integral. It can be used to match UV
theories to their low-energy EFTs more efficiently by avoiding redundant steps
in the application of functional methods, simplifying the process of obtaining
Wilson coefficients of operators up to dimension six. In addition to loops
involving only heavy fields, matching may require the inclusion of loops
containing both heavy and light particles. Here we use the recently-developed
covariant diagram technique to extend the UOLEA to include heavy-light terms
which retain the same universal structure as the previously-derived heavy-only
terms. As an example of its application, we integrate out a heavy singlet
scalar with a linear coupling to a light doublet Higgs. The extension presented
here is a first step towards completing the UOLEA to incorporate all possible
structures encountered in a covariant derivative expansion of the one-loop path
integral.Comment: 20 pages, 1 figure, 5 tables, 1 Mathematica Noteboo
Test of lepton universality with $B \ ^0 \to K \ ^{*0} \ell^+ \ell^-$ decays

A test of lepton universality, performed by measuring the ratio of the branching fractions of the $B \ ^0 \to K \ ^{*0} \mu^+ \mu^-$ and $B \ ^0 \to K \ ^{*0} e^+ e^-$ decays, $R_{K^{∗0}}$, is presented. The $K^{*0}$ meson is reconstructed in the final state $K^+π^−$, which is required to have an invariant mass within $100 \ MeV/c^2$ of the known $K^*(892)^0$ mass. The analysis is performed using proton-proton collision data, corresponding to an integrated luminosity of about $3 fb^{−1}$, collected by the LHCb experiment at centre-of-mass energies of 7 and 8 TeV. The ratio is measured in two regions of the dilepton invariant mass squared, $q^2$, to be\ud
\ud
$R_{K^{∗0}} = \begin{cases} 0.66_{-0.07}^{+0.11}(stat) \pm0.03(syst) \ for \ 0.045<q^2<1.1GeV^2/c^4, \\ 0.69_{−0.07}^{+0.11}(stat) \pm 0.05(syst) \ for \ 1.1<q^2<6.0GeV^2/c^4. \end{cases}$\ud
\ud
The corresponding 95.4% confidence level intervals are [0.52, 0.89] and [0.53, 0.94]. The results, which represent the most precise measurements of $R_{K^{*0}}$ to date, are compatible with the Standard Model expectations at the level of 2.1–2.3 and 2.4–2.5 standard deviations in the two $q^2$ regions, respectively
RG Flow from $\phi^4$ Theory to the 2D Ising Model

We study 1+1 dimensional $\phi^4$ theory using the recently proposed method
of conformal truncation. Starting in the UV CFT of free field theory, we
construct a complete basis of states with definite conformal Casimir,
$\mathcal{C}$. We use these states to express the Hamiltonian of the full
interacting theory in lightcone quantization. After truncating to states with
$\mathcal{C} \leq \mathcal{C}_{\max}$, we numerically diagonalize the
Hamiltonian at strong coupling and study the resulting IR dynamics. We compute
non-perturbative spectral densities of several local operators, which are
equivalent to real-time, infinite-volume correlation functions. These spectral
densities, which include the Zamolodchikov $C$-function along the full RG flow,
are calculable at any value of the coupling. Near criticality, our numerical
results reproduce correlation functions in the 2D Ising model.Comment: 31+12 page
Nonlinear Gravity from Entanglement in Conformal Field Theories

In this paper, we demonstrate the emergence of nonlinear gravitational
equations directly from the physics of a broad class of conformal field
theories. We consider CFT excited states defined by adding sources for scalar
primary or stress tensor operators to the Euclidean path integral defining the
vacuum state. For these states, we show that up to second order in the sources,
the entanglement entropy for all ball-shaped regions can always be represented
geometrically (via the Ryu-Takayanagi formula) by an asymptotically AdS
geometry. We show that such a geometry necessarily satisfies Einstein's
equations perturbatively up to second order, with a stress energy tensor
arising from matter fields associated with the sourced primary operators. We
make no assumptions about AdS/CFT duality, so our work serves as both a
consistency check for the AdS/CFT correspondence and a direct demonstration
that spacetime and gravitational physics can emerge from the description of
entanglement in conformal field theories.Comment: 55 pages, 8 figure
Electroweak Baryogenesis and Dark Matter via a Pseudoscalar vs. Scalar

We study the electroweak baryogenesis in a fermionic dark matter scenario
with a (pseudo)scalar being the mediator in the Higgs portal. It is discussed
that the electroweak phase transition turns to be first-order after taking into
account the role of the (pseudo)scalar in the thermal effective potential in
our extended standard model. Imposing the relic density constraint from the
WMAP/Planck and the bounds from the direct detection experiments XENON100/LUX,
we show that the dark matter scenario with a scalar mediator is hardly capable
of explaining the baryogenesis while the same model with a pseudoscalar
mediator is able to explain the baryon asymmetry. For the latter, we constrain
more the model with {\it Fermi}-LAT upper limit on dark matter annihilation
into $b\bar b$ and $\tau^+\tau^-$. The allowed dark matter mass that leads to
correct relic abundance, renders the electroweak phase transition strongly
first-order, and respects the {\it Fermi}-LAT limit, will be in the range
$110-320$ GeV. The exotic and invisible Higgs decay bounds and the mono-jet
search limit at the LHC do not affect the viable space of parameters.Comment: 15 pages, 4 figures. Fermi-LAT constraint on DM DM to b\bar, tau^+
  tau^- in the model was imposed. The range of the mediator mass was shown in a
  figure. Published in JHE
Lattice approach to finite volume form-factors of the Massive
  Thirring/Sine-Gordon model

In this paper we demonstrate, that the light-cone lattice approach for the
Massive-Thirring (sine-Gordon) model, through the quantum inverse scattering
method, admits an appropriate framework for computing the finite volume
form-factors of local operators of the model. In this work we compute the
finite volume diagonal matrix elements of the $U(1)$ conserved current in the
pure soliton sector of the theory. Based on the systematic large volume
expansion of our results, we conjecture an exact expression for the finite
volume expectation values of local operators in pure soliton states. At large
volume in leading order these expectation values have the same form as in
purely elastic scattering theories, but exponentially small corrections differ
from previous Thermodynamic Bethe Ansatz conjectures of purely elastic
scattering theories
Holographic coherent states from random tensor networks

Random tensor networks provide useful models that incorporate various
important features of holographic duality. A tensor network is usually defined
for a fixed graph geometry specified by the connection of tensors. In this
paper, we generalize the random tensor network approach to allow quantum
superposition of different spatial geometries. We set up a framework in which
all possible bulk spatial geometries, characterized by weighted adjacent
matrices of all possible graphs, are mapped to the boundary Hilbert space and
form an overcomplete basis of the boundary. We name such an overcomplete basis
as holographic coherent states. A generic boundary state can be expanded on
this basis, which describes the state as a superposition of different spatial
geometries in the bulk. We discuss how to define distinct classical geometries
and small fluctuations around them. We show that small fluctuations around
classical geometries define "code subspaces" which are mapped to the boundary
Hilbert space isometrically with quantum error correction properties. In
addition, we also show that the overlap between different geometries is
suppressed exponentially as a function of the geometrical difference between
the two geometries. The geometrical difference is measured in an area law
fashion, which is a manifestation of the holographic nature of the states
considered.Comment: 33 pages, 8 figures. An error corrected on page 14. Reference update
Backreacting D-brane instantons on branes at singularities

Non-perturbative D-brane instanton effects in 4d N = 1 string
compactifications can be geometrized in terms of a backreacted generalized
geometry. We extend earlier results to setups in which the D-brane instanton is
charged under the 4d gauge symmetries, and show that the backreacted topology
yields the correct charged field theory operators in the 4d effective action.
In type IIA models with D6-branes, the backreaction of D2-brane instantons
forces the recombination of D6-branes, such that the 4d charged field theory
operators arise from basic worldsheet instantons in the backreacted geometry.
We provide large classes of examples of D2-brane instanton effects on
intersecting D6-brane systems in local models mirror to D3-branes at
singularities. The backreacted geometry and the field theory operators are
easily encoded in terms of simple operation in the graphs arising from the
underlying dimer diagrams. This description agrees, in the appropriate cases,
with the complex deformations triggered by certain fractional branes at the
bottom of duality cascades.Comment: 40 pages, 27 Figures,v2 Minor correction
A discussion on leading renormalon in the pole mass

Perturbative series of some quantities in quantum field theories, such as the
pole mass of a quark, suffer from a kind of divergence called renormalon
divergence. In this paper, the leading renormalon in the pole mass is
investigated, and a map is introduced to suppress this renormalon. The inverse
of the map is then used to generate the leading renormalon and obtain an
expression to calculate its overall normalization. Finally, the overall
normalization of the leading renormalon of the pole mass is calculated for
several values of quark flavors.Comment: The published version; speculations about higher order renormalons
  are remove
Exponential Networks and Representations of Quivers

We study the geometric description of BPS states in supersymmetric theories
with eight supercharges in terms of geodesic networks on suitable spectral
curves. We lift and extend several constructions of Gaiotto-Moore-Neitzke from
gauge theory to local Calabi-Yau threefolds and related models. The
differential is multi-valued on the covering curve and features a new type of
logarithmic singularity in order to account for D0-branes and non-compact
D4-branes, respectively. We describe local rules for the three-way junctions of
BPS trajectories relative to a particular framing of the curve. We reproduce
BPS quivers of local geometries and illustrate the wall-crossing of finite-mass
bound states in several new examples. We describe first steps toward
understanding the spectrum of framed BPS states in terms of such "exponential
networks."Comment: 82 pages, 60 figures, typos fixe
Fate of in-medium heavy quarks via a Lindblad equation

What is the dynamics of heavy quarks and antiquarks in a quark gluon plasma?
Can heavy-quark bound states dissociate? Can they (re)combine? These questions
are addressed by investigating a Lindblad equation that describes the quantum
dynamics of the heavy quarks in a medium. The Lindblad equations for a heavy
quark and a heavy quark-antiquark pair are derived from the gauge theory,
following a chain of well-defined approximations. In this work the case of an
abelian plasma has been considered, but the extension to the non-abelian case
is feasible. A one-dimensional simulation of the Lindblad equation is performed
to extract information about bound-state dissociation, recombination and
quantum decoherence for a heavy quark-antiquark pair. All these phenomena are
found to depend strongly on the imaginary part of the inter-quark potential.Comment: 50 pages, 10 figures - added references - corrected typos and added a
  few comments - added appendix
Large $N$ correlation functions in $\mathcal{N}=2$ superconformal
  quivers

Using supersymmetric localization, we consider four-dimensional
$\mathcal{N}=2$ superconformal quiver gauge theories obtained from
$\mathbb{Z}_n$ orbifolds of $\mathcal{N}=4$ Super Yang-Mills theory in the
large $N$ limit at weak coupling. In particular, we show that: 1) The partition
function for arbitrary couplings can be constructed in terms of universal
building blocks. 2) It can be computed in perturbation series, which converges
uniformly for $|\lambda_I|<\pi^2$, where $\lambda_I$ are the 't Hooft coupling
of the gauge groups. 3) The perturbation series for two-point functions can be
explicitly computed to arbitrary orders. There is no universal effective
coupling by which one can express them in terms of correlators of the
$\mathcal{N}=4$ theory. 4) One can define twisted and untwisted sector
operators. At the perturbative orbifold point, when all the couplings are the
same, the correlators of untwisted sector operators coincide with those of
$\mathcal{N}=4$ Super Yang-Mills theory. In the twisted sector, we find
remarkable cancellations of a certain number of planar loops, determined by the
conformal dimension of the operator
Space-time CFTs from the Riemann sphere

We consider two-dimensional chiral, first-order conformal field theories
governing maps from the Riemann sphere to the projective light cone inside
Minkowski space -- the natural setting for describing conformal field theories
in two fewer dimensions. These theories have a SL(2) algebra of local bosonic
constraints which can be supplemented by additional fermionic constraints
depending on the matter content of the theory. By computing the BRST charge
associated with gauge fixing these constraints, we find anomalies which vanish
for specific target space dimensions. These critical dimensions coincide
precisely with those for which (biadjoint) cubic scalar theory, gauge theory
and gravity are classically conformally invariant. Furthermore, the BRST
cohomology of each theory contains vertex operators for the full conformal
multiplets of single field insertions in each of these space-time CFTs. We give
a prescription for the computation of three-point functions, and compare our
formalism with the scattering equations approach to on-shell amplitudes.Comment: 34 pages, no figures. v2: typos corrected and some comments added;
  v3: published versio
Asymptotic safety of higher derivative quantum gravity non-minimally
  coupled with a matter system

We study asymptotic safety of models of the higher derivative quantum gravity
with and without matter. The beta functions are derived by utilizing the
functional renormalization group, and non-trivial fixed points are found. It
turns out that all couplings in gravity sector, namely the cosmological
constant, the Newton constant, and the $R^2$ and $R_{\mu\nu}^2$ coupling
constants, are relevant in case of higher derivative pure gravity. For the
Higgs-Yukawa model non-minimal coupled with higher derivative gravity, we find
a stable fixed point at which the scalar-quartic and the Yukawa coupling
constants become relevant. The relevant Yukawa coupling is crucial to realize
the finite value of the Yukawa coupling constants in the standard model.Comment: Version published in JHEP; 75 pages, 10 figures, typos corrected,
  references adde