pinecone/core-2020-05-10-deduplication huggingface dataset:
The Clockwork Supergravity

We show that the minimal D = 5, N = 2 gauged supergravity set-up may encode
naturally the recently proposed clockwork mechanism. The minimal embedding
requires one vector multiplet in addition to the supergravity multiplet and the
clockwork scalar is identified with the scalar in the vector multiplet. The
scalar has a two-parameter potential and it can accommodate the clockwork, the
Randall-Sundrum and a no-scale model with a flat potential, depending on the
values of the parameters. The continuous clockwork background breaks half of
the original supersymmetries, leaving a D = 4, N = 1 theory on the boundaries.
We also show that the generated hierarchy by the clockwork is not exponential
but rather power law. The reason is that four-dimensional Planck scale has a
power-law dependence on the compactification radius, whereas the corresponding
KK spectrum depends on the logarithm of the latter.Comment: 20 page
Three Dimensional View of Arbitrary $q$ SYK models

In \url{arXiv:1704.07208} it was shown that the spectrum and bilocal
propagator of SYK model with four fermion interactions can be realized as a
three dimensional model in $AdS_2 \times S^1/Z_2$ with nontrivial boundary
conditions in the additional dimension. In this paper we show that a similar
picture holds for generalizations of the SYK model with $q$-fermion
interactions. The 3D realization is now given on a space whose metric is
conformal to $AdS_2 \times S^1/Z_2$ and is subject to a non-trivial potential
in addition to a delta function at the center of the interval. It is shown that
a Horava-Witten compactification reproduces the exact SYK spectrum and a
non-standard propagator between points which lie at the center of the interval
exactly agrees with the bilocal propagator. As $q \rightarrow \infty$, the wave
function of one of the modes at the center of the interval vanish as $1/q$,
while the others vanish as $1/q^2$, in a way consistent with the fact that in
the SYK model only one of the modes contributes to the bilocal propagator in
this limit.Comment: 17 pages, 1 figur
Entanglement on linked boundaries in Chern-Simons theory with generic
  gauge groups

We study the entanglement for a state on linked torus boundaries in $3d$
Chern-Simons theory with a generic gauge group and present the asymptotic
bounds of R\'enyi entropy at two different limits: (i) large Chern-Simons
coupling $k$, and (ii) large rank $r$ of the gauge group. These results show
that the R\'enyi entropies cannot diverge faster than $\ln k$ and $\ln r$,
respectively. We focus on torus links $T(2,2n)$ with topological linking number
$n$. The R\'enyi entropy for these links shows a periodic structure in $n$ and
vanishes whenever $n = 0 \text{ (mod } \textsf{p})$, where the integer
$\textsf{p}$ is a function of coupling $k$ and rank $r$. We highlight that the
refined Chern-Simons link invariants can remove such a periodic structure in
$n$.Comment: 31 pages, 5 figure
The 3d Stress-Tensor Bootstrap

We study the conformal bootstrap for 4-point functions of stress tensors in
parity-preserving 3d CFTs. To set up the bootstrap equations, we analyze the
constraints of conformal symmetry, permutation symmetry, and conservation on
the stress-tensor 4-point function and identify a non-redundant set of crossing
equations. Studying these equations numerically using semidefinite
optimization, we compute bounds on the central charge as a function of the
independent coefficient in the stress-tensor 3-point function. With no
additional assumptions, these bounds numerically reproduce the conformal
collider bounds and give a general lower bound on the central charge. We also
study the effect of gaps in the scalar, spin-2, and spin-4 spectra on the
central charge bound. We find general upper bounds on these gaps as well as
tighter restrictions on the stress-tensor 3-point function coefficients for
theories with moderate gaps. When the gap for the leading scalar or spin-2
operator is sufficiently large to exclude large N theories, we also obtain
upper bounds on the central charge, thus finding compact allowed regions.
Finally, assuming the known low-lying spectrum and central charge of the
critical 3d Ising model, we determine its stress-tensor 3-point function and
derive a bound on its leading parity-odd scalar.Comment: 51 pages, 17 figure
Quasi-Topological Ricci Polynomial Gravities

Quasi-topological terms in gravity can be viewed as those that give no
contribution to the equations of motion for a special subclass of metric
ans\"atze. They therefore play no r\^ole in constructing these solutions, but
can affect the general perturbations. We consider Einstein gravity extended
with Ricci tensor polynomial invariants, which admits Einstein metrics with
appropriate effective cosmological constants as its vacuum solutions. We
construct three types of quasi-topological gravities. The first type is for the
most general static metrics with spherical, toroidal or hyperbolic isometries.
The second type is for the special static metrics where $g_{tt} g_{rr}$ is
constant. The third type is the linearized quasi-topological gravities on the
Einstein metrics. We construct and classify results that are either dependent
on or independent of dimensions, up to the tenth order. We then consider a
subset of these three types and obtain Lovelock-like quasi-topological
gravities, that are independent of the dimensions. The linearized gravities on
Einstein metrics on all dimensions are simply Einstein and hence ghost free.
The theories become quasi-topological on static metrics in one specific
dimension, but non-trivial in others. We also focus on the quasi-topological
Ricci cubic invariant in four dimensions as a specific example to study its
effect on holography, including shear viscosity, thermoelectric DC
conductivities and butterfly velocity. In particular, we find that the
holographic diffusivity bounds can be violated by the quasi-topological terms,
which can induce an extra massive mode that yields a butterfly velocity unbound
above.Comment: Latex, 56 pages, discussion on shear viscosity revise
The Large Dimension Limit of a Small Black Hole Instability in Anti-de
  Sitter Space

We study the dynamics of a black hole in an asymptotically $AdS_d \times S^d$
space-time in the limit of a large number of dimensions, $d \to \infty$. Such a
black hole is known to become dynamically unstable below a critical radius. We
derive the dispersion relation for the quasinormal mode that governs this
instability in an expansion in $1/d$. We also provide a full nonlinear analysis
of the instability at leading order in $1/d$. We find solutions that resemble
the lumpy black spots and black belts previously constructed numerically for
small $d$, breaking the $SO(d+1)$ rotational symmetry of the sphere down to
$SO(d)$. We are also able to follow the time evolution of the instability. Due
possibly to limitations in our analysis, our time dependent simulations do not
settle down to stationary solutions. This work has relevance for strongly
interacting gauge theories; through the AdS/CFT correspondence, the special
case $d=5$ corresponds to maximally supersymmetric Yang-Mills theory on a
spatial $S^3$ in the microcanonical ensemble and in a strong coupling and large
number of colors limit.Comment: 20 pages + 10 pages of appendices, 7 figure
The Unruh Quantum Otto Engine

We introduce a quantum heat engine performing an Otto cycle by using the
thermal properties of the quantum vacuum. Since Hawking and Unruh, it has been
established that the vacuum space, either near a black hole or for an
accelerated observer, behaves as a bath of thermal radiation. In this work, we
present a fully quantum Otto cycle, which relies on the Unruh effect for a
single quantum bit (qubit) in contact with quantum vacuum fluctuations. By
using the notions of quantum thermodynamics and perturbation theory we obtain
that the quantum vacuum can exchange heat and produce work on the qubit.
Moreover, we obtain the efficiency and derive the conditions to have both a
thermodynamic and a kinematic cycle in terms of the initial populations of the
excited state, which define a range of allowed accelerations for the Unruh
engine.Comment: 31 pages, 11 figure
Effective Majorana mass matrix from tau and pseudoscalar meson lepton
  number violating decays

An observation of any lepton number violating process will undoubtedly point
towards the existence of new physics and indirectly to the clear Majorana
nature of the exchanged fermion. In this work, we explore the potential of a
minimal extension of the Standard Model via heavy sterile fermions with masses
in the $[ 0.1 - 10]$ GeV range concerning an extensive array of "neutrinoless"
meson and tau decay processes. We assume that the Majorana neutrinos are
produced on-shell, and focus on three-body decays. We conduct an update on the
bounds on the active-sterile mixing elements, $|U_{\ell_\alpha 4} U_{\ell_\beta
4}|$, taking into account the most recent experimental bounds (and constraints)
and new theoretical inputs, as well as the effects of a finite detector,
imposing that the heavy neutrino decay within the detector. This allows to
establish up-to-date comprehensive constraints on the sterile fermion parameter
space. Our results suggest that the branching fractions of several decays are
close to current sensitivities (likely within reach of future facilities), some
being already in conflict with current data (as is the case of $K^+ \to
\ell_\alpha^+ \ell_\beta^+ \pi^-$, and $\tau^- \to \mu^+ \pi^- \pi^-$). We use
these processes to extract constraints on all entries of an enlarged definition
of a $3\times 3$ "effective" Majorana neutrino mass matrix $m_{\nu}^{\alpha
\beta}$.Comment: 51 pages, 21 figures, 4 appendices. v2 includes few new figures and
  references, it matches with version published in JHEP. v3 contains updated
  and corrected bound
Colour-dressed hexagon tessellations for correlation functions and
  non-planar corrections

We continue the study of four-point correlation functions by the hexagon
tessellation approach initiated in 1611.05436 and 1611.05577. We consider
planar tree-level correlation functions in $\mathcal{N} = 4$ supersymmetric
Yang-Mills theory involving two non-protected operators. We find that, in order
to reproduce the field theory result, it is necessary to include $SU(N)$ colour
factors in the hexagon formalism; moreover, we find that the hexagon approach
as it stands is naturally tailored to the single-trace part of correlation
functions, and does not account for multi-trace admixtures. We discuss how to
compute correlators involving double-trace operators, as well as more general
$1/N$ effects; in particular we compute the whole next-to-leading order in the
large-$N$ expansion of tree-level BMN two-point functions by tessellating a
torus with punctures. Finally, we turn to the issue of "wrapping",
L\"uscher-like corrections. We show that $SU(N)$ colour-dressing reproduces an
earlier empirical rule for incorporating single-magnon wrapping, and we provide
a direct interpretation of such wrapping processes in terms of $\mathcal{N}=2$
supersymmetric Feynman diagrams.Comment: 42 pages, typos correcte
BMS Supertranslation Symmetry Implies Faddeev-Kulish Amplitudes

We show explicitly that, among the scattering amplitudes constructed from
eigenstates of the BMS supertranslation charge, the ones that conserve this
charge, are equal to those constructed from Faddeev-Kulish states. Thus,
Faddeev-Kulish states naturally arise as a consequence of the asymptotic
symmetries of perturbative gravity and all charge conserving amplitudes are
infrared finite. In the process we show an important feature of the
Faddeev-Kulish clouds dressing the external hard particles: these clouds can be
moved from the incoming states to the outgoing ones, and vice-versa, without
changing the infrared finiteness properties of S matrix elements. We also apply
our discussion to the problem of the decoherence of momentum configurations of
hard particles due to soft boson effects.Comment: 22 pages, 3 figure
Giant magnons and spiky strings in the Schrodinger/dipole-deformed CFT
  correspondence

We construct semi-classical string solutions of the Schr\"odinger $Sch_5
\times S^5$ spacetime, which is conjectured to be the gravity dual of a
non-local dipole-deformed CFT. They are the counterparts of the giant magnon
and spiky string solutions of the undeformed $AdS_5 \times S^5$ to which they
flow when the deformation parameter is turned off. They live in an $S^3$
subspace of the five-sphere along the directions of which the $B$-field has
non-zero components having also extent in the $Sch_5$ part of the metric.
Finally, we speculate on the form of the dual field theory operators.Comment: 16 pages; v2: references adde
Parton Shower and NLO-Matching uncertainties in Higgs Boson Pair
  Production

We perform a detailed study of NLO parton shower matching uncertainties in
Higgs boson pair production through gluon fusion at the LHC based on a generic
and process independent implementation of NLO subtraction and parton shower
matching schemes for loop-induced processes in the Sherpa event generator. We
take into account the full top-quark mass dependence in the two-loop virtual
corrections and compare the results to an effective theory approximation. In
the full calculation, our findings suggest large parton shower matching
uncertainties that are absent in the effective theory approximation. We observe
large uncertainties even in regions of phase space where fixed-order
calculations are theoretically well motivated and parton shower effects
expected to be small. We compare our results to NLO matched parton shower
simulations and analytic resummation results that are available in the
literature
Hexagonalization of Correlation Functions II: Two-Particle Contributions

In this work, we compute one-loop planar five-point functions in
$\mathcal{N}$=4 super-Yang-Mills using integrability. As in the previous work,
we decompose the correlation functions into hexagon form factors and glue them
using the weight factors which depend on the cross ratios. The main new
ingredient in the computation, as compared to the four-point functions studied
in the previous paper, is the two-particle mirror contribution. We develop
techniques to evaluate it and find agreement with the perturbative results in
all the cases we analyzed. In addition, we consider next-to-extremal four-point
functions, which are known to be protected, and show that the sum of
one-particle and two-particle contributions at one loop adds up to zero as
expected. The tools developed in this work would be useful for computing
higher-particle contributions which would be relevant for more complicated
quantities such as higher-loop corrections and non-planar correlators.Comment: 36 page
A global view on the Higgs self-coupling at lepton colliders

We perform a global effective-field-theory analysis to assess the precision
on the determination of the Higgs trilinear self-coupling at future lepton
colliders. Two main scenarios are considered, depending on whether the
center-of-mass energy of the colliders is sufficient or not to access Higgs
pair production processes. Low-energy machines allow for ~40% precision on the
extraction of the Higgs trilinear coupling through the exploitation of
next-to-leading-order effects in single Higgs measurements, provided that runs
at both 240/250 GeV and 350 GeV are available with luminosities in the few
attobarns range. A global fit, including possible deviations in other SM
couplings, is essential in this case to obtain a robust determination of the
Higgs self-coupling. High-energy machines can easily achieve a ~20% precision
through Higgs pair production processes. In this case, the impact of additional
coupling modifications is milder, although not completely negligible.Comment: 33 pages, 16 figure
Massive Deformations of Type IIA Theory Within Double Field Theory

We obtain massive deformations of Type IIA supergravity theory through
duality twisted reductions of Double Field Theory (DFT) of massless Type II
strings. The mass deformation is induced through the reduction of the DFT of
the RR sector. Such reductions are determined by a twist element belonging to
$Spin^+(10,10)$, which is the duality group of the DFT of the RR sector. We
determine the form of the twists and give particular examples of twist
matrices, for which a massive deformation of Type IIA theory can be obtained.
In one of the cases, requirement of gauge invariance of the RR sector implies
that the dilaton field must pick up a linear dependence on one of the dual
coordinates. In another case, the choice of the twist matrix violates the weak
and the strong constraints explicitly in the internal doubled space.Comment: Section 4 (conclusion and outlook) expanded, published versio
Probing the CP properties of top Yukawa coupling at an $e^+e^-$ collider

We study consequences of CP violation in the $ht\bar{t}$ Yukawa coupling
through the process $e^+e^- \to$ $h(125)t\bar{t}$. The helicity amplitudes are
calculated in the $t\bar{t}$ rest frame, where the initial $e^+e^-$ current and
the final Higgs boson have the same three-momentum. CP-violating asymmetries
appear not only in the azimuthal angle between the $e^+e^-$ plane and the
$t\bar{t}$ plane about the Higgs momentum direction, but also in the correlated
decay angular distributions of $t$ and $\bar{t}$. Complete description of the
production and decay angular distributions are obtained analytically, including
both leptonic and hadronic decays of $t$ and $\bar{t}$. We study the ultimate
sensitivity to the CP-violating $ht\bar{t}$ coupling at a few center-of-mass
energies. Our analysis shows that the possibility of discovering CP violating
$ht\bar{t}$ coupling improves significantly by studying $t\bar{t}$ decay
angular correlations, and more importantly, by increasing its energy upgrade
target from $\sqrt{s} = 500$ GeV to 550 GeV.Comment: 28 pages, 14 figures, 4 tables; references added, version accepted by
  JHE
Holographic non-computers

We introduce the notion of holographic non-computer as a system which
exhibits parametrically large delays in the growth of complexity, as calculated
within the Complexity-Action proposal. Some known examples of this behavior
include extremal black holes and near-extremal hyperbolic black holes. Generic
black holes in higher-dimensional gravity also show non-computing features.
Within the $1/d$ expansion of General Relativity, we show that large-$d$
scalings which capture the qualitative features of complexity, such as a linear
growth regime and a plateau at exponentially long times, also exhibit an
initial computational delay proportional to $d$. While consistent for large AdS
black holes, the required `non-computing' scalings are incompatible with
thermodynamic stability for Schwarzschild black holes, unless they are tightly
caged.Comment: 23 pages, 7 figures. V3: References added. Figures updated. New
  discussion of small black holes in the canonical ensembl
The Universal Geometry of heterotic vacua

We consider a family of perturbative heterotic string backgrounds. These are complex threefolds X with c1 = 0, each with a gauge field solving the Hermitian Yang-Mill’s equations and compatible B and H fields that satisfy the anomaly cancellation conditions. Our perspective is to consider a geometry in which these backgrounds are fibred over a parameter space. If the manifold X has coordinates x, and parameters are denoted by y, then it is natural to consider coordinate transformations   x→x~(x,y)andy→y~(y) . Similarly, gauge transformations of the gauge field and B field also depend on both x and y. In the process of defining deformations of the background fields that are suitably covariant under these transformations, it turns out to be natural to extend the gauge field A to a gauge field   A  on the extended (x, y)-space. Similarly, the B, H, and other fields are also extended. The total space of the fibration of the heterotic structures is the Universal Geometry of the title. The extension of gauge fields has been studied in relation to Donaldson theory and monopole moduli spaces. String vacua furnish a richer application of these ideas. One advantage of this point of view is that previously disparate results are unified into a simple tensor formulation. In a previous paper, by three of the present authors, the metric on the moduli space of heterotic theories was derived, correct through   O (α′), and it was shown how this was related to a simple Kähler potential. With the present formalism, we are able to rederive the results of this previously long and involved calculation, in less than a page
Thermal correlation functions of KdV charges in 2D CFT.

Two dimensional CFTs have an infinite set of commuting conserved charges, known as the quantum KdV charges, built out of the stress tensor. We compute the thermal correlation functions of the these KdV charges on a circle. We show that these correlation functions are given by quasi-modular differential operators acting on the torus partition function. We determine their modular transformation properties, give explicit expressions in a number of cases, and give an expression for an arbitrary correlation function which is determined up to a finite number of functions of the central charge. We show that these modular differential operators annihilate the characters of the (2m + 1, 2) family of non-unitary minimal models. We also show that the distribution of KdV charges becomes sharply peaked at large level
Deconstructing defects.

We use the exact-deconstruction prescription to lift various squashed-S3 partition functions with supersymmetric-defect insertions to four-dimensional superconformal indices. Starting from three-dimensional circular-quiver theories with vortex-loop-operator insertions, we recover the index of four-dimensional theories in the presence of codimension-two surface defects with (2,2) supersymmetry. The case of deconstruction with Wilson-loop insertions is discussed separately. We provide evidence that a certain prescription leads to the index of four-dimensional theories in the presence of surface defects with (4,0) supersymmetry. In addition, we deconstruct the index of four-dimensional gauge theories with codimension-one   12 -BPS defects, starting from three-dimensional circular-quiver theories containing localised matter/gauge-field insertions at specific nodes. We also clarify certain calculational and conceptual points related to exact deconstruction
Comparing elliptic and toric hypersurface Calabi-Yau threefolds at large Hodge numbers

We compare the sets of Calabi-Yau threefolds with large Hodge numbers that are constructed using toric hypersurface methods with those can be constructed as elliptic fibrations using Weierstrass model techniques motivated by F-theory. There is a close correspondence between the structure of “tops” in the toric polytope construction and Tate form tunings of Weierstrass models for elliptic fibrations. We find that all of the Hodge number pairs (h[superscript 1,1], h[superscript 2,1]) with h[superscript 1,1] or h[superscript 2,1] ≥ 240 that are associated with threefolds in the Kreuzer-Skarke database can be realized explicitly by generic or tuned Weierstrass/Tate models for elliptic fibrations over complex base surfaces. This includes a relatively small number of somewhat exotic constructions, including elliptic fibrations over non-toric bases, models with new Tate tunings that can give rise to exotic matter in the 6D F-theory picture, tunings of gauge groups over non-toric curves, tunings with very large Hodge number shifts and associated nonabelian gauge groups, and tuned Mordell-Weil sections associated with U(1) factors in the corresponding 6D theory. Keywords: Differential and Algebraic Geometry, F-Theory, Superstring VacuaUnited States. Department of Energy (Grant DE-SC00012567