pinecone/core-2020-05-10-deduplication huggingface dataset:
Geodesic description of Heavy-Light Virasoro blocks

We continue to investigate the dual description of the Virasoro conformal
blocks arising in the framework of the classical limit of the AdS$_3$/CFT$_2$
correspondence. To give such an interpretation in previous studies, certain
restrictions were necessary. Our goal here is to consider more general
situation available through the worldline approximation to the dual AdS
gravity. Namely, we are interested in computing the spherical conformal blocks
without the previously imposed restrictions on the conformal dimensions of the
internal channels. The duality is realised as an equality of the so-called
heavy-light limit of the n-point conformal block and the action of n-2
particles propagating in some AdS-like background with either a conical
singularity or a BTZ black hole. We describe a procedure that allows relaxing
the constraint on the intermediate channels. To obtain an explicit expression
for the conformal block on the CFT side, we use a recently proposed recursion
procedure and find full agreement between the results of the boundary and bulk
computations.Comment: 13 pages, v3: refs added, typos remove
Subsystem eigenstate thermalization hypothesis for entanglement entropy
  in CFT

We investigate a weak version of subsystem eigenstate thermalization
hypothesis (ETH) for a two-dimensional large central charge conformal field
theory by comparing the local equivalence of high energy state and thermal
state of canonical ensemble. We evaluate the single-interval R\'enyi entropy
and entanglement entropy for a heavy primary state in short interval expansion.
We verify the results of R\'enyi entropy by two different replica methods. We
find nontrivial results at the eighth order of short interval expansion, which
include an infinite number of higher order terms in the large central charge
expansion. We then evaluate the relative entropy of the reduced density
matrices to measure the difference between the heavy primary state and thermal
state of canonical ensemble, and find that the aforementioned nontrivial eighth
order results make the relative entropy unsuppressed in the large central
charge limit. By using Pinsker's and Fannes-Audenaert inequalities, we can
exploit the results of relative entropy to yield the lower and upper bounds on
trace distance of the excited-state and thermal-state reduced density matrices.
Our results are consistent with subsystem weak ETH, which requires the above
trace distance is of power-law suppression by the large central charge.
However, we are unable to pin down the exponent of power-law suppression. As a
byproduct we also calculate the relative entropy to measure the difference
between the reduced density matrices of two different heavy primary states.Comment: 28 pages, 4 figures;v2 change author list;v3 related subtleties about
  weak ETH clarified; v4 minor correction to match JHEP versio
Strolling along gauge theory vacua

We consider classical, pure Yang-Mills theory in a box. We show how a set of
static electric fields that solve the theory in an adiabatic limit correspond
to geodesic motion on the space of vacua, equipped with a particular Riemannian
metric that we identify. The vacua are generated by spontaneously broken global
gauge symmetries, leading to an infinite number of conserved momenta of the
geodesic motion. We show that these correspond to the soft multipole charges of
Yang-Mills theory.Comment: 46 pages, 1 figure, Published versio
Carving Out the End of the World or (Superconformal Bootstrap in Six
  Dimensions)

We bootstrap ${\cal N}=(1,0)$ superconformal field theories in six
dimensions, by analyzing the four-point function of flavor current multiplets.
Assuming $E_8$ flavor group, we present universal bounds on the central charge
$C_T$ and the flavor central charge $C_J$. Based on the numerical data, we
conjecture that the rank-one E-string theory saturates the universal lower
bound on $C_J$, and numerically determine the spectrum of long multiplets in
the rank-one E-string theory. We comment on the possibility of solving the
higher-rank E-string theories by bootstrap and thereby probing M-theory on
AdS${}_7\times{\rm S}^4$/$\mathbb{Z}_2$.Comment: 59 pages, 10 figures, 4 tables; v2-v5: typos corrected, references
  adde
Higgsed Gauge-flation

We study a variant of Gauge-flation where the gauge symmetry is spontaneously
broken by a Higgs sector. We work in the Stueckelberg limit and demonstrate
that the dynamics remain (catastrophically) unstable for cases where the gauge
field masses satisfy $\gamma < 2$, where $\gamma = g^2\psi^2/H^2$, $g$ is the
gauge coupling, $\psi$ is the gauge field vacuum expectation value, and $H$ is
the Hubble rate. We compute the spectrum of density fluctuations and
gravitational waves, and show that the model can produce observationally viable
spectra. The background gauge field texture violates parity, resulting in a
chiral gravitational wave spectrum. This arises due to an exponential
enhancement of one polarization of the spin-2 fluctuation of the gauge field.
Higgsed Gauge-flation can produce observable gravitational waves at
inflationary energy scales well below the GUT scale.Comment: 52 pages, 14 figure
Phenomenology of $\Lambda_b \to \Lambda_c \tau \bar{\nu}_{\tau}$ using
  lattice QCD calculations

In a recent paper we studied the effect of new-physics operators with
different Lorentz structures on the semileptonic $\Lambda_b \to \Lambda_c \tau
\bar{\nu}_{\tau}$ decay. This decay is of interest in light of the
$R({D^{(*)}})$ puzzle in the semileptonic $\bar{B} \to D^{(*)} \tau
{\bar\nu}_\tau$ decays. In this work we add tensor operators to extend our
previous results and consider both model-independent new physics (NP) and
specific classes of models proposed to address the $R({D^{(*)}})$ puzzle. We
show that a measurement of $R(\Lambda_c) = {\cal B}[\Lambda_b \to \Lambda_c
\tau \bar{\nu}_{\tau}] / {\cal B}[\Lambda_b \to \Lambda_c \ell
\bar{\nu}_{\ell}]$ can strongly constrain the NP parameters of models discussed
for the $R({D^{(*)}})$ puzzle. We use form factors from lattice QCD to
calculate all $\Lambda_b \to \Lambda_c \tau \bar{\nu}_{\tau}$ observables. The
$\Lambda_b \to \Lambda_c$ tensor form factors had not previously been
determined in lattice QCD, and we present new lattice results for these form
factors here.Comment: 44 pages, 105 figure
S-matrix singularities and CFT correlation functions

In this note, we explore the correspondence between four-dimensional flat
space S-matrix and two-dimensional CFT proposed by Pasterski et al. We
demonstrate that the factorization singularities of an n-point cubic diagram
reproduces the AdS Witten diagrams if mass conservation is imposed at each
vertex. Such configuration arises naturally if we consider the 4-dimensional
S-matrix as a compactified massless 5-dimensional theory. This identification
allows us to rewrite the massless S-matrix in the CHY formulation, where the
factorization singularities are re-interpreted as factorization limits of a
Riemann sphere. In this light, the map is recast into a form of 2d/2d
correspondence.Comment: 18 page
Semi-abelian Z-theory: NLSM+phi^3 from the open string

We continue our investigation of Z-theory, the second double-copy component
of open-string tree-level interactions besides super-Yang-Mills (sYM). We show
that the amplitudes of the extended non-linear sigma model (NLSM) recently
considered by Cachazo, Cha, and Mizera are reproduced by the leading
alpha'-order of Z-theory amplitudes in the semi-abelian case. The extension
refers to a coupling of NLSM pions to bi-adjoint scalars, and the semi-abelian
case involves to a partial symmetrization over one of the color orderings that
characterize the Z-theory amplitudes. Alternatively, the partial symmetrization
corresponds to a mixed interaction among abelian and non-abelian states in the
underlying open-superstring amplitude. We simplify these permutation sums via
monodromy relations which greatly increase the efficiency in extracting the
alpha'-expansion of these amplitudes. Their alpha'-corrections encode
higher-derivative interactions between NLSM pions and bi-colored scalars all of
which obey the duality between color and kinematics. Through double-copy, these
results can be used to generate the predictions of supersymmetric
Dirac-Born-Infeld-Volkov-Akulov theory coupled with sYM as well as a complete
tower of higher-order alpha'-corrections.Comment: 27 pages, v2: published versio
Solving the Schwarzian via the Conformal Bootstrap

We obtain exact expressions for a general class of correlation functions in
the 1D quantum mechanical model described by the Schwarzian action, that arises
as the low energy limit of the SYK model. The answer takes the form of an
integral of a momentum space amplitude obtained via a simple set of
diagrammatic rules. The derivation relies on the precise equivalence between
the 1D Schwarzian theory and a suitable large $c$ limit of 2D Virasoro CFT. The
mapping from the 1D to the 2D theory is similar to the construction of
kinematic space. We also compute the out-of-time ordered four point function.
The momentum space amplitude in this case contains an extra factor in the form
of a crossing kernel, or R-matrix, given by a 6j-symbol of SU(1,1). We argue
that the R-matrix describes the gravitational scattering amplitude near the
horizon of an AdS${}_2$ black hole. Finally, we discuss the generalization of
some of our results to ${\cal N}=1$ and ${\cal N}=2$ supersymmetric Schwarzian
QM.Comment: 46 pages + appendices. v2: typos corrected, references added. v3:
  matches published versio
Transverse momentum spectrum of dilepton pair in the unpolarized
  $\pi^-N$ Drell-Yan process within TMD factorization

We study the transverse momentum spectrum of dilepton produced in the
unpolarized $\pi^- N$ Drell-Yan process, using transverse momentum dependent
factorization up to next-to-logarithmic order of QCD. We extract the
nonperturbative Sudakov form factor for the pion in the evolution formalism of
the unpolarized TMD distribution function, by fitting the experimental data
collected by the E615 Collaboration at Fermilab. With the extracted Sudakov
factor, we calculate the normalized differential cross section with respect to
transverse momentum of the dimuon and compare it with the recent measurement by
the COMPASS Collaboration.Comment: 17 pages, 3 figure
Heterotic Hyper-Kahler Flux Backgrounds

We study Heterotic supergravity on Hyper-Kahler manifolds in the presence of
non-trivial warping and three form flux with Abelian bundles in the large
charge limit. We find exact, regular solutions for multi-centered
Gibbons-Hawking spaces and Atiyah-Hitchin manifolds. In the case of
Atiyah-Hitchin, regularity requires that the circle at infinity is of the same
order as the instanton number, which is taken to be large. Alternatively there
may be a non-trivial density of smeared five branes at the bolt.Comment: 19 page
Checks of integrality properties in topological strings

Tests of the integrality properties of a scalar operator in topological
strings on a resolved conifold background or orientifold of conifold
backgrounds have been performed for arborescent knots and some non-arborescent
knots. The recent results on polynomials for those knots colored by SU(N) and
SO(N) adjoint representations are useful to verify Marino's integrality
conjecture up to two boxes in the Young diagram. In this paper, we review the
salient aspects of the integrality properties and tabulate explicitly for an
arborescent knot and a link. In our knotebook website, we have put these
results for over 100 prime knots available in Rolfsen table and some links. The
first application of the obtained results, an observation of the Gaussian
distribution of the LMOV invariants is also reported.Comment: 28 page
Emergent spacetime & Quantum Entanglement in Matrix theory

In the context of the Bank-Fishler-Shenker-Susskind Matrix theory, we analyze
a spherical membrane in light-cone M theory along with two asymptotically
distant probes. In the appropriate energy regime, we find that the membrane
behaves like a smeared Matrix black hole; and the spacetime geometry seen by
the probes can become non-commutative even far away from regions of Planckian
curvature. This arises from non-linear Matrix interactions where fast matrix
modes lift a flat direction in the potential -- akin to the Paul trap
phenomenon in atomic physics. In the regime where we do have a notion of
emergent spacetime, we show that there is non-zero entanglement entropy between
supergravity modes on the membrane and the probes. The computation can easily
be generalized to other settings, and this can help develop a dictionary
between entanglement entropy and local geometry -- similar to Ryu-Takayanagi
but instead for asymptotically flat backgrounds.Comment: 42 pages, 3 figures. arXiv admin note: text overlap with
  arXiv:1601.07791; v2: minor typo correction
Tensor Network Models of Unitary Black Hole Evaporation

We introduce a general class of toy models to study the quantum
information-theoretic properties of black hole radiation. The models are
governed by a set of isometries that specify how microstates of the black hole
at a given energy evolve to entangled states of a tensor product
black-hole/radiation Hilbert space. The final state of the black hole radiation
is conveniently summarized by a tensor network built from these isometries. We
introduce a set of quantities generalizing the Renyi entropies that provide a
complete set of bipartite/multipartite entanglement measures, and give a
general formula for the average of these over initial black hole states in
terms of the isometries defining the model. For models where the dimension of
the final tensor product radiation Hilbert space is the same as that of the
space of initial black hole microstates, the entanglement structure is
universal, independent of the choice of isometries. In the more general case,
we find that models which best capture the "information-free" property of black
hole horizons are those whose isometries are tensors corresponding to states of
tripartite systems with maximally mixed subsystems.Comment: 22 pages, 4 figure
A UV Complete Compositeness Scenario: LHC Constraints Meet The Lattice

We investigate a recently proposed UV-complete composite Higgs scenario in
the light of the first LHC runs. The model is based on a $SU(4)$ gauge group
with global flavour symmetry breaking $SU(5) \to SO(5)$, giving rise to pseudo
Nambu-Goldstone bosons in addition to the Higgs doublet. This includes a real
and a complex electroweak triplet with exotic electric charges. Including
these, as well as constraints on other exotic states, we show that LHC
measurements are not yet sensitive enough to significantly constrain the
model's low energy constants. The Higgs potential is described by two
parameters which are on the one hand constrained by the LHC measurement of the
Higgs mass and Higgs decay channels and on the other hand can be computed from
correlation functions in the UV-complete theory. Hence to exclude the model at
least one constant needs to be determined and to validate the Higgs potential
both constants need to be reproduced by the UV-theory. Due to its
UV-formulation, a certain number of low energy constants can be computed from
first principle numerical simulations of the theory formulated on a lattice,
which can help in establishing the validity of this model. We assess the
potential impact of lattice calculations for phenomenological studies, as a
preliminary step towards Monte Carlo simulations.Comment: 12 pages, 6 figure
Subsectors, Dynkin Diagrams and New Generalised Geometries

We examine how generalised geometries can be associated with a labelled
Dynkin diagram built around a gravity line. We present a series of new
generalised geometries based on the groups
$\mathit{Spin}(d,d)\times\mathbb{R}^+$ for which the generalised tangent space
transforms in a spinor representation of the group. In low dimensions these all
appear in subsectors of maximal supergravity theories. The case $d=8$ provides
a geometry for eight-dimensional backgrounds of M theory with only seven-form
flux, which have not been included in any previous geometric construction. This
geometry is also one of a series of "half-exceptional" geometries, which
"geometrise" a six-form gauge field. In the appendix, we consider examples of
other algebras appearing in gravitational theories and give a method to derive
the Dynkin labels for the "section condition" in general. We argue that
generalised geometry can describe restrictions and subsectors of many
gravitational theories.Comment: 42 pages, v2: minor improvements and changes, published versio
Phenomenology of flavorful composite vector bosons in light of $B$
  anomalies

We analyze the flavor structure of composite vector bosons arising in a model
of vectorlike technicolor, often called hypercolor (HC), with eight flavors
that form a one-family content of HC fermions. Dynamics of the composite vector
bosons, referred to as HC rho in this paper, are formulated together with HC
pions by the hidden local symmetry (HLS), in a way analogous to QCD vector
mesons. Then coupling properties to the standard model (SM) fermions, which
respect the HLS gauge symmetry, are described in a way that couplings of the HC
rhos to the left-handed SM quarks and leptons are given by a well-defined setup
as taking the flavor mixing structures into account. Under the present
scenario, we discuss significant bounds on the model from electroweak precision
tests, flavor physics, and collider physics. We also try to address B anomalies
in processes such as B -> K(*) mu+ mu- and B -> D(*) tau nu, recently reported
by LHCb, Belle, (ATLAS, and CMS in part.) Then we find that the present model
can account for the anomaly in B -> K(*) mu+ mu- consistently with the other
constraints while it predicts no significant deviations in B -> D(*) tau nu
from the SM, which can be examined in the future Belle II experiment. The
former is archived with the form C9 = -C10 of the Wilson coefficients for
effective operators of b -> s mu+ mu-, which has been favored by the recent
experimental data. We also investigate current and future experimental limits
at the Large Hadron Collider (LHC) and see that possible collider signals come
from dijet and ditau, or dimuon resonant searches for the present scenario with
TeV mass range. To conclude, the present b -> s mu+ mu- anomaly is likely to
imply discovery of new vector bosons in the ditau or dimuon channel in the
context of the HC rho model. Our model can be considered as a UV completion of
conventional U(1)' model.Comment: 62 pages, 8 figures, 3 tables, typos modified, published versio
More on Supersymmetric and 2d Analogs of the SYK Model

In this paper, we explore supersymmetric and 2d analogs of the SYK model. We
begin by working out a basis of (super)conformal eigenfunctions appropriate for
expanding a four-point function. We use this to clarify some details of the 1d
supersymmetric SYK model. We then introduce new bosonic and supersymmetric
analogs of SYK in two dimensions. These theories consist of $N$ fields
interacting with random $q$-field interactions. Although models built entirely
from bosons appear to be problematic, we find a supersymmetric model that flows
to a large $N$ CFT with interaction strength of order one. We derive an
integral formula for the four-point function at order $1/N$, and use it to
compute the central charge, chaos exponent and some anomalous dimensions. We
describe a problem that arises if one tries to find a 2d SYK-like CFT with a
continuous global symmetry.Comment: 93+12 page
Holographic Reconstruction of AdS Exchanges from Crossing Symmetry

Motivated by AdS/CFT, we address the following outstanding question in large
$N$ conformal field theory: given the appearance of a single-trace operator in
the ${\cal O}\times{\cal O}$ OPE of a scalar primary ${\cal O}$, what is its
total contribution to the vacuum four-point function $\langle {\cal O}{\cal
O}{\cal O}{\cal O}\rangle$ as dictated by crossing symmetry? We solve this
problem in 4d conformal field theories at leading order in $1/N$. Viewed
holographically, this provides a field theory reconstruction of
crossing-symmetric, four-point exchange amplitudes in AdS$_5$. Our solution
takes the form of a resummation of the large spin solution to the crossing
equations, supplemented by corrections at finite spin, required by crossing.
The method can be applied to the exchange of operators of arbitrary twist
$\tau$ and spin $s$, although it vastly simplifies for even-integer twist,
where we give explicit results. The output is the set of OPE data for the
exchange of all double-trace operators $[{\cal O}{\cal O}]_{n,\ell}$. We find
that the double-trace anomalous dimensions $\gamma_{n,\ell}$ are negative,
monotonic and convex functions of $\ell$, for all $n$ and all $\ell>s$. This
constitutes a holographic signature of bulk causality and classical dynamics of
even-spin fields. We also find that the "derivative relation" between
double-trace anomalous dimensions and OPE coefficients does not hold in
general, and derive the explicit form of the deviation in several cases.
Finally, we study large $n$ limits of $\gamma_{n,\ell}$, relevant for the Regge
and bulk-point regimes.Comment: 34 pages + refs. v2: typos fixe
Connecting Fisher information to bulk entanglement in holography

In the context of relating AdS/CFT to quantum information theory, we propose
a holographic dual of Fisher information metric for mixed states in the
boundary field theory. This amounts to a holographic measure for the distance
between two mixed quantum states. For a spherical subregion in the boundary we
show that this is related to a particularly regularized volume enclosed by the
Ryu-Takayanagi surface. We further argue that the quantum correction to the
proposed Fisher information metric is related to the quantum correction to the
boundary entanglement entropy. We discuss consequences of this connection.Comment: v3: 28 pages, 1 figure. Accepted for publication in JHEP. Major
  update: added section 2.2 which discusses our proposal for states under
  scalar perturbations as well. Conclusions unchanged. Typos corrected,
  references adde
Measurement of the cross section for top quark pair production in
  association with a W or Z boson in proton-proton collisions at $\sqrt{s} =$
  13 TeV

A measurement is performed of the cross section of top quark pair production
in association with a W or Z boson using proton-proton collisions at a
center-of-mass energy of 13 TeV at the LHC. The data sample corresponds to an
integrated luminosity of 35.9 fb$^{-1}$, collected by the CMS experiment in
2016. The measurement is performed in the same-sign dilepton, three- and
four-lepton final states. The production cross sections are measured to be
$\sigma(\mathrm{t}\overline{\mathrm{t}}\mathrm{W})= 0.77
^{+0.12}_{-0.11}\text{(stat)} ^{+0.13}_{-0.12}\text{(syst)}$ pb and
$\sigma(\mathrm{t}\overline{\mathrm{t}}\mathrm{Z}) = 0.99
^{+0.09}_{-0.08}\text{(stat)} ^{+0.12}_{-0.10}\text{(syst)}$ pb. The expected
(observed) signal significance for the
$\mathrm{t}\overline{\mathrm{t}}\mathrm{W}$ production in same-sign dilepton
channel is found to be 4.5 (5.3) standard deviations, while for the
$\mathrm{t}\overline{\mathrm{t}}\mathrm{Z}$ production in three- and
four-lepton channels both the expected and the observed significances are found
to be in excess of 5 standard deviations. The results are in agreement with the
standard model predictions and are used to constrain the Wilson coefficients
for eight dimension-six operators describing new interactions that would modify
$\mathrm{t}\overline{\mathrm{t}}\mathrm{W}$ and
$\mathrm{t}\overline{\mathrm{t}}\mathrm{Z}$ production.Comment: Replaced with the published version. Added the journal reference and
  the DOI. All the figures and tables, including additional supplementary
  figures, can be found at
  http://cms-results.web.cern.ch/cms-results/public-results/publications/TOP-17-005
  (CMS Public Pages