pinecone/core-2020-05-10-deduplication huggingface dataset:
Bulk Locality and Entanglement Swapping in AdS/CFT

Localized bulk excitations in AdS/CFT are produced by operators which modify
the pattern of entanglement in the boundary state. We show that simple
models--consisting of entanglement swapping operators acting on a qubit system
or a free field theory--capture qualitative features of gravitational
backreaction and reproduce predictions of the Ryu-Takayanagi formula. These
entanglement swapping operators naturally admit multiple representations
associated with different degrees of freedom, thereby reproducing the code
subspace structure emphasized by Almheiri, Dong, and Harlow. We also show that
the boundary Reeh-Schlieder theorem implies that equivalence of certain
operators on a code subspace necessarily breaks down when non-perturbative
effects are taken into account (as is expected based on bulk arguments).Comment: 13 pages, 2 figures. v2: added new section to discuss quantum
  effects, agrees with published versio
Echoes of chaos from string theory black holes

The strongly coupled D1-D5 conformal field theory is a microscopic model of
black holes which is expected to have chaotic dynamics. Here, we study the weak
coupling limit of the theory where it is integrable rather than chaotic. In
this limit, the operators creating microstates of the lowest mass black hole
are known exactly. We consider the time-ordered two-point function of light
probes in these microstates, normalized by the same two-point function in
vacuum. These correlators display a universal early-time decay followed by
late-time sporadic behavior. To find a prescription for temporal
coarse-graining of these late fluctuations we appeal to random matrix theory,
where we show that a progressive time-average smooths the spectral form factor
(a proxy for the 2-point function) in a typical draw of a random matrix. This
coarse-grained quantity reproduces the matrix ensemble average to a good
approximation. Employing this coarse-graining in the D1-D5 system, we find that
the early-time decay is followed by a dip, a ramp and a plateau, in remarkable
qualitative agreement with recent studies of the Sachdev-Ye-Kitaev (SYK) model.
We study the timescales involved, comment on similarities and differences
between our integrable model and the chaotic SYK model, and suggest ways to
extend our results away from the integrable limit.Comment: 26 pages, 9 figures, v3: discussion of dip time adde
$E_6$ Yukawa couplings in F-theory as D-brane instanton effects

In a weak coupling limit the neighborhood of $E_6$ Yukawa points in $SU(5)$
GUT F-theory models is described by a non-resolvable orientifold of the
conifold. We explicitly show, first directly in IIB and then via a mirror
symmetry argument, that in this limit the $E_6$ Yukawa coupling is better
described as coming from the non-perturbative contribution of a euclidean
D1-brane wrapping the non-resolvable cycle. We also discuss how the M-theory
description interpolates between the weak and strong coupling viewpoints.Comment: 50 pages, 8 figure
Perturbed Yukawa Textures in the Minimal Seesaw Model

\noindent We revisit the \textit{minimal seesaw model}, i.e., the type-I
seesaw mechanism involving only two right-handed neutrinos. % This model
represents an important minimal benchmark scenario for future experimental
updates on neutrino oscillations. % It features four real parameters that
cannot be fixed by the current data: two $CP$-violating phases, $\delta$ and
$\sigma$, as well as one complex parameter, $z$, that is experimentally
inaccessible at low energies. % The parameter $z$ controls the structure of the
neutrino Yukawa matrix at high energies, which is why it may be regarded as a
label or index for all UV completions of the minimal seesaw model. % The fact
that $z$ encompasses only two real degrees of freedom allows us to
systematically scan the minimal seesaw model over all of its possible UV
completions. % In doing so, we address the following question: Suppose $\delta$
and $\sigma$ should be measured at particular values in the future---to what
extent is one then still able to realize approximate textures in the neutrino
Yukawa matrix? % Our analysis, thus, generalizes previous studies of the
minimal seesaw model based on the assumption of exact texture zeros. % In
particular, our study allows us to assess the theoretical uncertainty inherent
to the common texture ansatz. % One of our main results is that a normal
light-neutrino mass hierarchy is, in fact, still consistent with a two-zero
Yukawa texture, provided that the two texture zeros receive corrections at the
level of $\mathcal{O}\left(\textrm{10}\,\%\right)$. % While our numerical
results pertain to the minimal seesaw model only, our general procedure appears
to be applicable to other neutrino mass models as well.Comment: 30 pages, 7 figures, 2 tables; v2: updated references, extended
  discussion in the introduction and conclusions, new title, results unchanged,
  content matches version published in JHE
New Dualities and Misleading Anomaly Matchings from Outer-automorphism
  Twists

We study four-dimensional N=1, 2 superconformal theory in class S obtained by
compactifying the 6d N=(2, 0) theory on a Riemann surface C with
outer-automorphism twist lines. From the pair-of-pants decompositions C we find
various dual descriptions for the same theory having distinct gauge groups. We
show that the various configurations of the twist line give rise to dual
descriptions for the identical theory. We compute the 't Hooft anomaly
coefficients and the superconformal indices to test dualities. Surprisingly, we
find that the class S theories with twist lines wrapping 1-cycles of C have the
identical 't Hooft anomalies as the ones without the twist line, whereas the
superconformal indices differ. This provides a set of examples where the
anomaly matching is insufficient to test dualities.Comment: 28 pages, 18 figure
Power Corrections in the N-jettiness Subtraction Scheme

We discuss the leading-logarithmic power corrections in the $N$-jettiness
subtraction scheme for higher-order perturbative QCD calculations. We compute
the next-to-leading order power corrections for an arbitrary $N$-jet process,
and we explicitly calculate the power correction through
next-to-next-to-leading order for color-singlet production for both $q\bar{q}$
and $gg$ initiated processes. Our results are compact and simple to implement
numerically. Including the leading power correction in the $N$-jettiness
subtraction scheme substantially improves its numerical efficiency. We discuss
what features of our techniques extend to processes containing final-state
jets.Comment: 15 pages, 4 figures, references added, version to appear in JHE
Inflation with a graceful exit in a random landscape

We develop a stochastic description of small-field inflationary histories
with a graceful exit in a random potential whose Hessian is a Gaussian random
matrix as a model of the unstructured part of the string landscape. The
dynamical evolution in such a random potential from a small-field inflation
region towards a viable late-time de Sitter (dS) minimum maps to the dynamics
of Dyson Brownian motion describing the relaxation of non-equilibrium
eigenvalue spectra in random matrix theory. We analytically compute the
relaxation probability in a saddle point approximation of the partition
function of the eigenvalue distribution of the Wigner ensemble describing the
mass matrices of the critical points. When applied to small-field inflation in
the landscape, this leads to an exponentially strong bias against small-field
ranges and an upper bound $N\ll 10$ on the number of light fields $N$
participating during inflation from the non-observation of negative spatial
curvature.Comment: Published versio
Charges in nonlinear higher-spin theory

Nonlinear higher-spin equations in four dimensions admit a closed two-form
that defines a gauge-invariant global charge as an integral over a
two-dimensional cycle. In this paper we argue that this charge gives rise to
partitions depending on various lower- and higher-spin chemical potentials
identified with modules of topological fields in the theory. The vacuum
contribution to the partition is calculated to the first nontrivial order for a
solution to higher-spin equations that generalizes AdS4 Kerr black hole of
General Relativity. The resulting partition is non-zero being in parametric
agreement with the ADM-like behavior of a rotating source. The linear response
of chemical potentials to the partition function is also extracted. The
explicit unfolded form of 4d GR black holes is given. An explicit formula
relating asymptotic higher-spin charges expressed in terms of the generalized
higher-spin Weyl tensor with those expressed in terms of Fronsdal fields is
obtained.Comment: 23 pages; V3: typos corrected; references and acknowledgement added;
  example of the topological contribution to spin-4 charge added; new Section
  3.1 added establishing relation of our construction for asymptotic charges
  with the canonical one. Version published in JHE
Carroll versus Galilei Gravity

We consider two distinct limits of General Relativity that in contrast to the
standard non-relativistic limit can be taken at the level of the
Einstein-Hilbert action instead of the equations of motion. One is a
non-relativistic limit and leads to a so-called Galilei gravity theory, the
other is an ultra-relativistic limit yielding a so-called Carroll gravity
theory. We present both gravity theories in a first-order formalism and show
that in both cases the equations of motion (i) lead to constraints on the
geometry and (ii) are not sufficient to solve for all of the components of the
connection fields in terms of the other fields. Using a second-order formalism
we show that these independent components serve as Lagrange multipliers for the
geometric constraints we found earlier. We point out a few noteworthy
differences between Carroll and Galilei gravity and give some examples of
matter couplings.Comment: 30 pages, v2:minor changes and added reference
Second-order transport, quasinormal modes and zero-viscosity limit in
  the Gauss-Bonnet holographic fluid

Gauss-Bonnet holographic fluid is a useful theoretical laboratory to study
the effects of curvature-squared terms in the dual gravity action on transport
coefficients, quasinormal spectra and the analytic structure of thermal
correlators at strong coupling. To understand the behavior and possible
pathologies of the Gauss-Bonnet fluid in $3+1$ dimensions, we compute
(analytically and non-perturbatively in the Gauss-Bonnet coupling) its
second-order transport coefficients, the retarded two- and three-point
correlation functions of the energy-momentum tensor in the hydrodynamic regime
as well as the relevant quasinormal spectrum. The Haack-Yarom universal
relation among the second-order transport coefficients is violated at second
order in the Gauss-Bonnet coupling. In the zero-viscosity limit, the
holographic fluid still produces entropy, while the momentum diffusion and the
sound attenuation are suppressed at all orders in the hydrodynamic expansion.
By adding higher-derivative electromagnetic field terms to the action, we also
compute corrections to charge diffusion and identify the non-perturbative
parameter regime in which the charge diffusion constant vanishes.Comment: 56 pages, 3 figures; V2: references added, version published in JHE
Degenerate Operators and the $1/c$ Expansion: Lorentzian Resummations,
  High Order Computations, and Super-Virasoro Blocks

One can obtain exact information about Virasoro conformal blocks by
analytically continuing the correlators of degenerate operators. We argued in
recent work that this technique can be used to explicitly resolve information
loss problems in AdS$_3$/CFT$_2$. In this paper we use the technique to perform
calculations in the small $1/c \propto G_N$ expansion: (1) we prove the
all-orders resummation of logarithmic factors $\propto \frac{1}{c} \log z$ in
the Lorentzian regime, demonstrating that $1/c$ corrections directly shift
Lyapunov exponents associated with chaos, as claimed in prior work, (2) we
perform another all-orders resummation in the limit of large $c$ with fixed
$cz$, interpolating between the early onset of chaos and late time behavior,
(3) we explicitly compute the Virasoro vacuum block to order $1/c^2$ and
$1/c^3$, corresponding to $2$ and $3$ loop calculations in AdS$_3$, and (4) we
derive the heavy-light vacuum blocks in theories with $\mathcal{N}=1,2$
superconformal symmetry.Comment: 34+20 pages, 2 figure
Commensurate lock-in in holographic non-homogeneous lattices

We consider the spontaneous formation of striped structures in a holographic
model which possesses explicit translational symmetry breaking, dual to an
ionic lattice with spatially modulated chemical potential. We focus on the
perturbative study of the marginal modes which drive the transition to a phase
exhibiting spontaneous stripes. We study the wave-vectors of the instabilities
with largest critical temperature in a wide range of backgrounds characterized
by the period and the amplitude of the chemical potential modulation.
  We report the first holographic observation of the commensurate lock-in
between the spontaneous stripes and the underlying ionic lattice, which takes
place when the amplitude of the lattice is large enough. We also observe an
incommensurate regime in which the amplitude of the lattice is finite, but the
preferred stripe wave-vector is different from that of the lattice.Comment: 21 page, 10 figures; v2: references added, v3: published versio
Higher derivative corrections to incoherent metallic transport in
  holography

Transport in strongly-disordered, metallic systems is governed by diffusive
processes. Based on quantum mechanics, it has been conjectured that these
diffusivities obey a lower bound $D/v^2\gtrsim \hbar/k_B T$, the saturation of
which provides a mechanism for the T-linear resistivity of bad metals. This
bound features a characteristic velocity $v$, which was later argued to be the
butterfly velocity $v_B$, based on holographic models of transport. This
establishes a link between incoherent metallic transport, quantum chaos and
Planckian timescales. Here we study higher derivative corrections to an
effective holographic action of homogeneous disorder. The higher derivative
terms involve only the charge and translation symmetry breaking sector. We show
that they have a strong impact on the bound on charge diffusion
$D_c/v_B^2\gtrsim \hbar/k_B T$, by potentially making the coefficient of its
right-hand side arbitrarily small. On the other hand, the bound on energy
diffusion is not affected.Comment: v1: 2 plots, 19 pages + appendices; v2: minor typos corrected,
  references added, discussion of results improved, matches the published
  versio
Punctures for Theories of Class $\mathcal{S}_\Gamma$

With the aim of understanding compactifications of 6D superconformal field
theories to four dimensions, we study punctures for theories of class
$\mathcal{S}_{\Gamma}$. The class $\mathcal{S}_{\Gamma}$ theories arise from
M5-branes probing $\mathbb{C}^2 / \Gamma$, an ADE singularity. The resulting 4D
theories descend from compactification on Riemann surfaces decorated with
punctures. We show that for class $\mathcal{S}_{\Gamma}$ theories, a puncture
is specified by singular boundary conditions for fields in the 5D quiver gauge
theory obtained from compactification of the 6D theory on a cylinder geometry.
We determine general boundary conditions and study in detail solutions with
first order poles. This yields a generalization of the Nahm pole data present
for $1/2$ BPS punctures for theories of class $\mathcal{S}$. Focusing on
specific algebraic structures, we show how the standard discussion of nilpotent
orbits and its connection to representations of $\mathfrak{su}(2)$ generalizes
in this broader context.Comment: 39 page
Fermion Condensation and Gapped Domain Walls in Topological Orders

We propose the concept of fermion condensation in bosonic topological orders
in two spatial dimensions. Fermion condensation can be realized as gapped
domain walls between bosonic and fermionic topological orders, which are
thought of as a real-space phase transitions from bosonic to fermionic
topological orders. This generalizes the previous idea of understanding boson
condensation as gapped domain walls between bosonic topological orders. We show
that generic fermion condensation obeys a Hierarchy Principle by which it can
be decomposed into a boson condensation followed by a minimal fermion
condensation, which involves a single self-fermion that is its own
anti-particle and has unit quantum dimension. We then develop the rules of
minimal fermion condensation, which together with the known rules of boson
condensation, provides a full set of rules of fermion condensation. Our studies
point to an exact mapping between the Hilbert spaces of a bosonic topological
order and a fermionic topological order that share a gapped domain wall.Comment: 20 pages, 2-colum
Supersymmetric Majoron Inflation

We propose supersymmetric Majoron inflation in which the Majoron field $\Phi$
responsible for generating right-handed neutrino masses may also be suitable
for giving low scale "hilltop" inflation, with a discrete lepton number $Z_N$
spontaneously broken at the end of inflation, while avoiding the domain wall
problem. In the framework of non-minimal supergravity, we show that a
successful spectral index can result with small running together with small
tensor modes. We show that a range of heaviest right-handed neutrino masses can
be generated, $m_N\sim 10^1-10^{16}$ GeV, consistent with the constraints from
reheating and domain walls.Comment: 27 pages, 3 figure
Higgs and superparticle mass predictions from the string theory
  landscape

Predictions for the scale of SUSY breaking from the string landscape go back
at least a decade to the work of Denef and Douglas on the statistics of flux
vacua. The assumption that an assortment of SUSY breaking F and D terms are
present in the hidden sector, and their values are uniformly distributed in the
landscape of D=4, N=1 effective supergravity models, leads to the expectation
that the landscape pulls towards large values of soft terms favored by a power
law behavior P(m(soft))~ m(soft)^n. On the other hand, similar to Weinberg's
prediction of the cosmological constant, one can assume an anthropic selection
of weak scales not too far from the measured value characterized by m(W,Z,h)~
100 GeV. Working within a fertile patch of gravity-mediated low energy
effective theories where the superpotential mu term is << m(3/2), as occurs in
models such as radiative breaking of Peccei-Quinn symmetry, this biases
statistical distributions on the landscape by a cutoff on the parameter
Delta(EW), which measures fine-tuning in the m(Z)-mu mass relation. The
combined effect of statistical and anthropic pulls turns out to favor low
energy phenomenology that is more or less agnostic to UV physics. While a
uniform selection n=0 of soft terms produces too low a value for m(h), taking
n=1 or 2 produce most probabilistically m(h)~125 GeV for negative trilinear
terms. For n>=1, there is a pull towards split generations with
m(squarks,sleptons)(1,2)~10-30 TeV whilst m(t1)~ 1-2 TeV. The most probable
gluino mass comes in at ~ 3-4 TeV--apparently beyond the reach of HL-LHC
(although the required quasi-degenerate higgsinos should still be within
reach).
  We comment on consequences for SUSY collider and dark matter searches.Comment: 28 pages with 10 figures; updated version includes referee mandated
  changes and truncated titl
Search for diboson resonances in the 2$\ell$2$\nu$ final state in
  proton-proton collisions at 13 TeV

A search for heavy resonances decaying to a pair of Z bosons is performed
using data collected with the CMS detector at the LHC. Events are selected by
requiring two oppositely charged leptons (electrons or muons), consistent with
the decay of a Z boson, and large missing transverse momentum, which is
interpreted as arising from the decay of a second Z boson to two neutrinos. The
analysis uses data from proton-proton collisions at a center-of-mass energy of
13 TeV, corresponding to an integrated luminosity of 35.9 fb$^{-1}$. The
hypothesis of a spin-2 bulk graviton (X) decaying to a pair of Z bosons is
examined for 600 $\le m_\mathrm{X} \le$ 2500 GeV and upper limits at 95%
confidence level are set on the product of the production cross section and
branching fraction of X $\to$ ZZ ranging from 100 to 4 fb. For bulk graviton
models characterized by a curvature scale parameter $\tilde{k} =$ 0.5 in the
extra dimension, the region $m_\mathrm{X} < $ 800 GeV is excluded, providing
the most stringent limit reported to date. Variations of the model considering
the possibility of a wide resonance produced exclusively via gluon-gluon fusion
or $\mathrm{q}\overline{\mathrm{q}}$ annihilation are also examined.Comment: Replaced with the published version. Added the journal reference and
  the DOI. All the figures and tables can be found at
  http://cms-results.web.cern.ch/cms-results/public-results/publications/B2G-16-023
  (CMS Public Pages
Exploring extra dimensions through inflationary tensor modes

Predictions of inflationary schemes can be influenced by the presence of
extra dimensions. This could be of particular relevance for the spectrum of
gravitational waves in models where the extra dimensions provide a brane-world
solution to the hierarchy problem. Apart from models of large as well as
exponentially warped extra dimensions, we analyze the size of tensor modes in
the Linear Dilaton scheme recently revived in the discussion of the "clockwork
mechanism". The results are model dependent, significantly enhanced tensor
modes on one side and a suppression on the other. In some cases we are led to a
scheme of "remote inflation", where the expansion is driven by energies at a
hidden brane. In all cases where tensor modes are enhanced, the requirement of
perturbativity of gravity leads to a stringent upper limit on the allowed
Hubble rate during inflation.Comment: 29 pages, 7 figures; v2: added discussion on the emergence of
  curvature singularities and removed discussion on the NKKK case with horizon
  in the bulk, conclusions unaltered, matches the published versio
Holographic Inequalities and Entanglement of Purification

We study the conjectured holographic duality between entanglement of
purification and the entanglement wedge cross-section. We generalize both
quantities and prove several information theoretic inequalities involving them.
These include upper bounds on conditional mutual information and tripartite
information, as well as a lower bound for tripartite information. These
inequalities are proven both holographically and for general quantum states. In
addition, we use the cyclic entropy inequalities to derive a new holographic
inequality for the entanglement wedge cross-section, and provide numerical
evidence that the corresponding inequality for the entanglement of purification
may be true in general. Finally, we use intuition from bit threads to extend
the conjecture to holographic duals of suboptimal purifications.Comment: 17 pages, 4 figures, 1 table. v2: added clarification and fixed typ