pinecone/core-2020-05-10-deduplication huggingface dataset:
Entanglement Entropy in Jammed CFTs

We construct solutions to the Einstein equations for asymptotically locally
Anti-de Sitter spacetimes with four, five, and six dimensional
Reissner-Nordstr\"om boundary metrics. These spacetimes are gravitational duals
to "jammed" CFTs on those backgrounds at infinite N and strong coupling. For
these spacetimes, we calculate the boundary stress tensor as well as compute
entanglement entropies for ball shaped regions as functions of the boundary
black hole temperature $T_{BH}$. From this, we see how the CFT prevents heat
flow from the black hole to the vacuum at spatial infinity. We also compute
entanglement entropies for a three dimensional boundary black hole using the
AdS C-metric. We compare our results to previous work done in similar
spacetimes.Comment: 42 pages, 11 figures, version to appear in JHE
Point-Particle Effective Field Theory III: Relativistic Fermions and the
  Dirac Equation

We formulate point-particle effective field theory (PPEFT) for relativistic
spin-half fermions interacting with a massive, charged finite-sized source
using a first-quantized effective field theory for the heavy compact object and
a second-quantized language for the lighter fermion with which it interacts.
This description shows how to determine the near-source boundary condition for
the Dirac field in terms of the relevant physical properties of the source, and
reduces to the standard choices in the limit of a point source. Using a
first-quantized effective description is appropriate when the compact object is
sufficiently heavy, and is simpler than (though equivalent to) the effective
theory that treats the compact source in a second-quantized way. As an
application we use the PPEFT to parameterize the leading energy shift for the
bound energy levels due to finite-sized source effects in a model-independent
way, allowing these effects to be fit in precision measurements. Besides
capturing finite-source-size effects, the PPEFT treatment also efficiently
captures how other short-distance source interactions can shift bound-state
energy levels, such as due to vacuum polarization (through the Uehling
potential) or strong interactions for Coulomb bound states of hadrons, or any
hypothetical new short-range forces sourced by nuclei.Comment: 29 pages plus appendices, 3 figure
BMN Vacua, Superstars and Non-Abelian T-duality

Acting with non-Abelian T-duality on the $S^3$ inside the $AdS_5$ subspace of
$AdS_5\times S^5$ with $N$ units of flux, we generate a new half-BPS solution
with $SU(2|4)$ symmetry that belongs to the Lin-Lunin-Maldacena class of
geometries. The analysis of the asymptotics, quantised charges and probe branes
in this geometry suggests an interpretation as the gravity dual to the
Berenstein-Maldacena-Nastase Plane Wave Matrix Model, in a particular vacuum
associated to a partition of $N$, in which the multiplicity of each $SU(2)$
irreducible representation is equal to its dimension. This vacuum is
interpreted in M-theory in terms of giant gravitons backreacting in the
maximally supersymmetric pp-wave geometry. Consistently with this, we show that
the non-Abelian T-dual solution exactly agrees with the Penrose limit of the
superstar solution in $AdS_7\times S^4$. This suggests an interesting global
completion of the non-Abelian T-dual solution in terms of an M5-brane geometry.Comment: 28 pages, discussion in section 5.1 improved, results unchanged,
  reference added. Matches published versio
From Conformal Blocks to Path Integrals in the Vaidya Geometry

Correlators in conformal field theory are naturally organized as a sum over
conformal blocks. In holographic theories, this sum must reorganize into a path
integral over bulk fields and geometries. We explore how these two sums are
related in the case of a point particle moving in the background of a 3d
collapsing black hole. The conformal block expansion is recast as a sum over
paths of the first-quantized particle moving in the bulk geometry. Off-shell
worldlines of the particle correspond to subdominant contributions in the
Euclidean conformal block expansion, but these same operators must be included
in order to correctly reproduce complex saddles in the Lorentzian theory.
During thermalization, a complex saddle dominates under certain circumstances;
in this case, the CFT correlator is not given by the Virasoro identity block in
any channel, but can be recovered by summing heavy operators. This effectively
converts the conformal block expansion in CFT from a sum over intermediate
states to a sum over channels that mimics the bulk path integral.Comment: 23 pages, 8 figure
Flavour anomalies after the $R_{K^*}$ measurement

The LHCb measurement of the $\mu/e$ ratio $R_{K^*}$ indicates a deficit with
respect to the Standard Model prediction, supporting earlier hints of lepton
universality violation observed in the $R_K$ ratio. We show that the $R_K$ and
$R_{K^*}$ ratios alone constrain the chiralities of the states contributing to
these anomalies, and we find deviations from the Standard Model at the
$4\sigma$ level. This conclusion is further corroborated by hints in the
theoretically challenging $b\to s\mu^+\mu^-$ distributions. Theoretical
interpretations in terms of $Z'$, lepto-quarks, loop mediators, and composite
dynamics are discussed. We highlight their distinctive features in terms of
chiralities and flavour structure relevant for the observed anomalies.Comment: 31 pages, 8 figures. References adde
Gauge Invariants, Correlators and Holography in Bosonic and Fermionic
  Tensor Models

Motivated by the close connection of tensor models to the SYK model, we use
representation theory to construct the complete set of gauge invariant
observables for bosonic and fermionic tensor models. Correlation functions of
the gauge invariant operators in the free theory are computed exactly. The
gauge invariant operators close a ring. The structure constants of the ring are
described explicitly. Finally, we construct a collective field theory
description of the bosonic tensor model.Comment: 32+1 pages; v2: refs added, minor typos corrected. v3: matches JHEP
  versio
Defects in the Tri-critical Ising model

We consider two different conformal field theories with central charge
c=7/10. One is the diagonal invariant minimal model in which all fields have
integer spins; the other is the local fermionic theory with superconformal
symmetry in which fields can have half-integer spin. We construct new conformal
(but not topological or factorised) defects in the minimal model. We do this by
first constructing defects in the fermionic model as boundary conditions in a
fermionic theory of central charge c=7/5, using the folding trick as first
proposed by Gang and Yamaguchi. We then acting on these with interface defects
to find the new conformal defects. As part of the construction, we find the
topological defects in the fermionic theory and the interfaces between the
fermionic theory and the minimal model. We also consider the simpler case of
defects in the theory of a single free fermion and interface defects between
the Ising model and a single fermion as a prelude to calculations in the
tri-critical Ising model.Comment: 54 pages, 5 figures, version as accepted for publication with minor
  change
The leptonic future of the Higgs

Precision study of electroweak symmetry breaking strongly motivates the
construction of a lepton collider with center-of-mass energy of at least 240
GeV. Besides Higgsstrahlung ($e^+e^- \to hZ$), such a collider would measure
weak boson pair production ($e^+e^- \to WW$) with an astonishing precision. The
weak-boson-fusion production process ($e^+e^- \to \nu \bar{\nu} h$) provides an
increasingly powerful handle at higher center-of-mass energies. High energies
also benefit the associated top-Higgs production ($e^+e^-\to t\bar th$) that is
crucial to constrain directly the top Yukawa coupling. The impact and
complementarity of differential measurements, at different center-of-mass
energies and for several beam polarization configurations, are studied in a
global effective-field-theory framework. We define a "global determinant
parameter" (GDP) which characterizes the overall strengthening of constraints
independently of the choice of operator basis. The reach of the CEPC, CLIC,
FCC-ee, and ILC designs is assessed.Comment: 55 pages, lots of figures, v2: references added, minor corrections,
  extended discussions on quadratic EFT contributions and beam polarization
  effects, matches published version in JHE
On hydrogen-like bound states in $\mathcal{N}=4$ super Yang-Mills

Using relativistic quantum mechanics, we study the spectrum of a non-BPS
two-particle bound state in the massive phase of $\mathcal{N}=4$ super
Yang-Mills, in the limit when one of the particles is infinitely heavier than
the other. We find that the spectrum shows the exact $n^2$ degeneracy for each
principal quantum number $n$, just as in the strict non-relativistic limit.
This is in line with the findings of Caron-Huot and Henn, who studied the same
system in the large $N$ limit with the technique of integrability and the dual
conformal symmetry.Comment: 9 pages, 3 figure
Holographic entanglement entropy of a $1+1$ dimensional $p$-wave
  superconductor

We examine the behavior of entanglement entropy of a subsystem $A$ in a fully
backreacted holographic model of a $1+1$ dimensional $p$ wave superconductor
across the phase transition. For a given temperature, the system goes to a
superconducting phase beyond a critical value of the charge density. The
entanglement entropy, considered as a function of the charge density at a given
temperature, has a cusp at the critical point. In addition, we find that there
are three different behaviors in the condensed phase, depending on the
subsystem size. For a subsystem size $l$ smaller than a critical size $l_{c1}$,
entanglement entropy continues to increase as a function of the charge density
as we cross the phase transition. When $l$ lies between $l_{c1}$ and another
critical size $l_{c2}$ the entanglement entropy displays a non-monotonic
behavior, while for $l > l_{c2}$ it decreases monotonically. At large charge
densities entanglement entropy appears to saturate. The non-monotonic behavior
leads to a novel phase diagram for this system.Comment: 16 pages, 17 figures, v2: references added, section 3.1 added, JHEP
  styl
Three Dimensional View of the SYK/AdS Duality

We show that the spectrum of the SYK model can be interpreted as that of a 3D
scalar coupled to gravity. The scalar has a mass which is at the
Breitenholer-Freedman bound of AdS$_2$, and subject to a delta function
potential at the center of the interval along the third direction. This,
through Kaluza-Klein procedure on AdS$_2 \times (S^1)/Z_2$, generates the
spectrum reproducing the bi-local propagator at strong coupling. Furthermore,
the leading $1/J$ correction calculated in this picture reproduces the known
correction to the poles of the SYK propagator, providing credence to a
conjecture that the bulk dual of this model can be interpreted as a three
dimensional theory.Comment: 19 pages; v2: further clarifications and references adde
Evaluation of the operatorial Q-system for non-compact super spin chains

We present an approach to evaluate the full operatorial Q-system of all
$\mathfrak{u}(p,q|r+s)$-invariant spin chains with representations of
Jordan-Schwinger type. In particular, this includes the super spin chain of
planar $\mathcal{N}=4$ super Yang-Mills theory at one loop in the presence of a
diagonal twist. Our method is based on the oscillator construction of
Q-operators. The Q-operators are built as traces over Lax operators which are
degenerate solutions of the Yang-Baxter equation. For non-compact
representations these Lax operators may contain multiple infinite sums that
conceal the form of the resulting functions. We determine these infinite sums
and calculate the matrix elements of the lowest level Q-operators. Transforming
the Lax operators corresponding to the Q-operators into a representation
involving only finite sums allows us to take the supertrace and to obtain the
explicit form of the Q-operators in terms of finite matrices for a given magnon
sector. Imposing the functional relations, we then bootstrap the other
Q-operators from those of the lowest level. We exemplify this approach for
non-compact spin $-s$ spin chains and apply it to $\mathcal{N}=4$ SYM at the
one-loop level using the BMN vacuum as an example.Comment: 31 pages, v2: minor changes, version published in JHEP, v3: typo
  fixe
Two-loop supersymmetric QCD and half-maximal supergravity amplitudes

Using the duality between color and kinematics, we construct two-loop
four-point scattering amplitudes in $\mathcal{N}=2$ super-Yang-Mills (SYM)
theory coupled to $N_f$ fundamental hypermultiplets. Our results are valid in
$D\le 6$ dimensions, where the upper bound corresponds to six-dimensional
chiral $\mathcal{N}=(1,0)$ SYM theory. By exploiting a close connection with
$\mathcal{N}=4$ SYM theory - and, equivalently, six-dimensional
$\mathcal{N}=(1,1)$ SYM theory - we find compact integrands with
four-dimensional external vectors in both the maximally-helicity-violating
(MHV) and all-chiral-vector sectors. Via the double-copy construction
corresponding $D$-dimensional half-maximal supergravity amplitudes with
external graviton multiplets are obtained in the MHV and all-chiral sectors.
Appropriately tuning $N_f$ enables us to consider both pure and matter-coupled
supergravity, with arbitrary numbers of vector multiplets in $D=4$. As a bonus,
we obtain the integrands of the genuinely six-dimensional supergravities with
$\mathcal{N}=(1,1)$ and $\mathcal{N}=(2,0)$ supersymmetry. Finally, we extract
the potential ultraviolet divergence of half-maximal supergravity in
$D=5-2\epsilon$ and show that it non-trivially cancels out as expected.Comment: 53 pages, 5 figures, 1 table + appendices, ancillary files; v2
  published versio
Expansion of Einstein-Yang-Mills Amplitude

In this paper, we provide a thorough study on the expansion of single trace
Einstein-Yang-Mills amplitudes into linear combination of color-ordered
Yang-Mills amplitudes, from various different perspectives. Using the gauge
invariance principle, we propose a recursive construction, where EYM amplitude
with any number of gravitons could be expanded into EYM amplitudes with less
number of gravitons. Through this construction, we can write down the complete
expansion of EYM amplitude in the basis of color-ordered Yang-Mills amplitudes.
As a byproduct, we are able to write down the polynomial form of BCJ numerator,
i.e., numerators satisfying the color-kinematic duality, for Yang-Mills
amplitude. After the discussion of gauge invariance, we move to the BCFW
on-shell recursion relation and discuss how the expansion can be understood
from the on-shell picture. Finally, we show how to interpret the expansion from
the aspect of KLT relation and the way of evaluating the expansion coefficients
efficiently.Comment: 50 pages, 1 figure, Revised versio
Notes on worldvolume supersymmetries for D-branes on AdS_5 X S^5
  background

We revisit the 1/2-BPS D-branes on the AdS$_5\times$S$^5$ background. Based
only on the classification of 1/2-BPS D-branes obtained by the covariant open
string description, we consider various purely static configurations of
D-branes without any worldvolume flux on the AdS$_5\times$S$^5$ background.
Under the covariant $\kappa$ symmetry fixing condition, we investigate which
part the spacetime supersymmetries is preserved on the D-brane worldvolume and
obtain the associated worldvolume supersymmetry transformation rules to leading
order in the worldvolume fluctuating fields. It is shown that, for purely
static configurations without any worldvolume flux, only the AdS type D-branes,
in which the AdS radial direction is one of worldvolume coordinates, are
1/2-BPS.Comment: 32 pages, reference adde
Breakings of the neutrino mu-tau reflection symmetry

The neutrino $\mu$-$\tau$ reflection symmetry has been attracting a lot of
attention as it predicts the interesting results $\theta^{}_{23} = \pi/4$ and
$\delta = \pm \pi/2$. But it is reasonable to consider breakings of such a
symmetry either from the theoretical considerations or on the basis of
experimental results. We thus perform a systematic study for the possible
symmetry-breaking patterns and their implications for the mixing parameters.
The general treatment is applied to some specific symmetry breaking arising
from the renormalization group effects for illustration.Comment: 18 pages, 6 figures, 5 tables, minor revision, accepted for
  publication in JHE
A note on NMHV form factors from the Gra{\ss}mannian and the twistor
  string

In this note we investigate Gra{\ss}mannian formulas for form factors of the
chiral part of the stress-tensor multiplet in $\mathcal{N}=4$ superconformal
Yang-Mills theory. We present an all-$n$ contour for the $G(3,n+2)$
Gra{\ss}mannian integral of NMHV form factors derived from on-shell diagrams
and the BCFW recursion relation. In addition, we study other $G(3,n+2)$
formulas obtained from the connected prescription introduced recently. We find
a recursive expression for all $n$ and study its properties. For $n \geq 6$,
our formula has the same recursive structure as its amplitude counterpart,
making its soft behaviour manifest. Finally, we explore the connection between
the two Gra{\ss}mannian formulations, using the global residue theorem, and
find that it is much more intricate compared to scattering amplitudes.Comment: 21 pages, 3 figures; v2: JHEP version + minor correction
Highly Symmetric D-brane-Anti-D-brane Effective Actions

The entire S-matrix elements of four, five and six point functions of
D-brane-anti D-brane system are explored. To deal with symmetries of string
amplitudes as well as their all order $\alpha'$ corrections we first address a
four point function of one closed string Ramond-Ramond (RR) and two real
tachyons on the world volume of brane-anti brane system. We then focus on
symmetries of string theory as well as universal tachyon expansion to achieve
both string and effective field theory of an RR and three tachyons where the
complete algebraic analysis for the whole S-matrix $<V_{C^{-1}} V_{T^{-1}}
V_{T^{0}}V_{T^{0}} >$ was also revealed. Lastly, we employ all the conformal
field theory techniques to $<V_{C^{-1}} V_{T^{-1}} V_{T^{0}}V_{T^{0}}
V_{T^{0}}>$, working out with symmetries of theory and find out the expansion
for the amplitude to be able to precisely discover all order singularity
structures of D-brane-anti-D-brane effective actions of string theory. Various
remarks about the so called generalized Veneziano amplitude and new string
couplings are elaborated as well.Comment: 20 pages.TUW-17-09. The 1st version is accepted to be published by
  JHE
Search for a compressed supersymmetric spectrum with a light Gravitino

Presence of the light gravitino as dark matter candidate in a supersymmetric
(SUSY) model opens up interesting collider signatures consisting of one or more
hard photons together with multiple jets and missing transverse energy from the
cascade decay. We investigate such signals at the 13 TeV LHC in presence of
compressed SUSY spectra, consistent with the Higgs mass as well as collider and
dark matter constraints. We analyse and compare the discovery potential in
different benchmark scenarios consisting of both compressed and uncompressed
SUSY spectra, considering different levels of compression and intermediate
decay modes. Our conclusion is that compressed spectra upto 2.5 TeV are likely
to be probed even before the high luminosity run of LHC. Kinematic variables
are also suggested, which offer distinction between compressed and uncompressed
spectra yielding similar event rates for photons + multi-jets + $E\!\!\!\!/_T$.Comment: 32 pages, 7 figures, 4 tables. Published in JHEP, minor modifications
  in text and few references adde
A covariant Lagrangian for stable nonsingular bounce

The nonsingular bounce models usually suffer from the ghost or gradient
instabilities, as has been proved recently. In this paper, we propose a
covariant effective theory for stable nonsingular bounce, which has the
quadratic order of the second order derivative of the field $\phi$ but the
background set only by $P(\phi,X)$. With it, we explicitly construct a fully
stable nonsingular bounce model for the ekpyrotic scenario.Comment: 12 pages, 6 figures; published in JHEP; an Appendix and references
  adde
A higher-order Skyrme model

We propose a higher-order Skyrme model with derivative terms of eighth, tenth
and twelfth order. Our construction yields simple and easy-to-interpret
higher-order Lagrangians. We first show that a Skyrmion with higher-order terms
proposed by Marleau has an instability in the form of a baby-Skyrmion string,
while the static energies of our construction are positive definite, implying
stability against time-independent perturbations. However, we also find that
the Hamiltonians of our construction possess two kinds of dynamical
instabilities, which may indicate the instability with respect to
time-dependent perturbations. Different from the well-known Ostrogradsky
instability, the instabilities that we find are intrinsically of nonlinear
nature and also due to the fact that even powers of the inverse metric gives a
ghost-like higher-order kinetic-like term. The vacuum state is, however,
stable. Finally, we show that at sufficiently low energies, our Hamiltonians in
the simplest cases, are stable against time-dependent perturbations.Comment: LaTeX: 42 pages, 3 figures; V2: simplifications implemented in Secs.
  5 and 6, and references adde
Fractional Hopfions in the Faddeev-Skyrme model with a symmetry breaking
  potential

We construct new solutions of the Faddeev-Skyrme model with a symmetry
breaking potential admitting $S^1$ vacuum. It includes, as a limiting case, the
usual $SO(3)$ symmetry breaking mass term, another limit corresponds to the
potential $m^2 \phi_1^2$, which gives a mass to the corresponding component of
the scalar field. However we find that the spacial distribution of the energy
density of these solutions has more complicated structure, than in the case of
the usual Hopfions, typically it represents two separate linked tubes with
different thicknesses and positions. In order to classify these configurations
we define a counterpart of the usual position curve, which represents a
collection of loops $\mathcal{C}_1, \mathcal{C}_{-1}$ corresponding to the
preimages of the points $\vec \phi = (\pm 1 \mp \mu, 0,0)$, respectively. Then
the Hopf invariant can be defined as $Q= {\rm link}
(\mathcal{C}_1,\mathcal{C}_{-1})$. In this model, in the sectors of degrees
$Q=5,6,7$ we found solutions of new type, for which one or both of these tubes
represent trefoil knots. Further, some of these solutions possess different
types of curves $\mathcal{C}_1$ and $\mathcal{C}_{-1}$.Comment: 22 pages, 129 figure