pinecone/core-2020-05-10-deduplication huggingface dataset:
Einstein-Katz action, variational principle, Noether charges and the
  thermodynamics of AdS-black holes

In this paper we describe 4-dimensional gravity coupled to scalar and Maxwell
fields by the Einstein-Katz action, that is, the covariant version of the
"Gamma-Gamma $-$ Gamma-Gamma" part of the Hilbert action supplemented by the
divergence of a generalized "Katz vector". We consider static solutions of
Einstein's equations, parametrized by some integration constants, which
describe an ensemble of asymptotically AdS black holes. Instead of the usual
Dirichlet boundary conditions, which aim at singling out a specific solution
within the ensemble, we impose that the variation of the action vanishes on
shell for the broadest possible class of solutions. We will see that, when a
long-range scalar "hair" is present, only sub-families of the solutions can
obey that criterion. The Katz-Bicak-Lynden-Bell ("KBL") superpotential built on
this (generalized) vector will then give straightforwardly the Noether charges
associated with the spacetime symmetries (that is, in the static case, the
mass). Computing the action on shell, we will see next that the solutions which
obey the imposed variational principle, and with Noether charges given by the
KBL superpotential, satisfy the Gibbs relation, the Katz vectors playing the
role of "counterterms". Finally, we show on the specific example of dyonic
black holes that the sub-class selected by our variational principle satisfies
the first law of thermodynamics when their mass is defined by the KBL
superpotential.Comment: Accepted for publication by JHE
Loop Corrections to Standard Model Fields in Inflation

We calculate 1-loop corrections to the Schwinger-Keldysh propagators of
Standard-Model-like fields of spin-0, 1/2, and 1, with all renormalizable
interactions during inflation. We pay special attention to the late-time
divergences of loop corrections, and show that the divergences can be resummed
into finite results in the late-time limit using dynamical renormalization
group method. This is our first step toward studying both the standard model
and new physics in the primordial universe.Comment: 34 pages. Typos corrected. Discussions in Sec. 5 expanded. JHEP
  published versio
Shedding Light on Neutrino Masses with Dark Forces

Heavy right-handed neutrinos (RHNs) provide the simplest explanation for the
origin of light neutrino masses and mixings. If the RHN masses are at or below
the weak scale, direct experimental discovery of these states is possible at
accelerator experiments such as the LHC or new dedicated beam dump experiments;
in such experiments, the RHN decays after traversing a macroscopic distance
from the collision point. The experimental sensitivity to RHNs is significantly
enhanced if there is a new "dark" gauge force connecting them to the Standard
Model (SM), and detection of RHNs can be the primary discovery mode for the new
dark force itself. We take the well-motivated example of a B-L gauge symmetry
and analyze the sensitivity to displaced decays of the RHNs produced via the
new gauge interaction in two experiments: the LHC and the proposed SHiP beam
dump experiment. In the most favorable case in which the mediator can be
produced on-shell and decays to RHNs, the sensitivity reach is controlled by
the square of the B-L gauge coupling. We demonstrate that these experiments
could access neutrino parameters responsible for the observed SM neutrino
masses and mixings in the most straightforward implementation of the see-saw
mechanism.Comment: 16 pages, 12 figures. v2: final version published in JHE
Revisiting the one leptoquark solution to the $R(D^{(\ast)})$ anomalies
  and its phenomenological implications

It has been shown recently that the anomalies observed in $\bar B\to
D^{(\ast)}\tau\bar\nu_\tau$ and $\bar B\to \bar K\ell^+\ell^-$ decays could be
resolved with just one scalar leptoquark. Fitting to the current data on
$R(D^{(\ast)})$ along with acceptable $q^2$ distributions in $\bar B\to
D^{(\ast)}\tau\bar\nu_\tau$ decays, four best-fit solutions for the operator
coefficients have been found. In this paper, we explore the possibilities of
how to discriminate these four solutions. Firstly, we find that two of them are
already excluded by the decay $B_c^-\to \tau^-\bar\nu_\tau$, because the
predicted decay widths have already overshot the total width $\Gamma_{B_c}$. It
is then found that the remaining two solutions result in two effective
Hamiltonians governing $b\to c \tau \bar\nu_{\tau}$ transition, which differ by
a sign and enhance the absolute value of the coefficient of $\bar c_L\gamma_\mu
b_L\,\bar \tau_L\gamma^\mu{\nu_\tau}_L$ operator by about $12\%$. However, they
give nearly the same predictions as in the SM for the $D^\ast$ and $\tau$
longitudinal polarizations as well as the lepton forward-backward asymmetries
in $\bar B\to D^{(\ast)}\tau\bar\nu_\tau$ decays. For the other observables
like $\mathcal B(B_c^-\to \tau^-\bar\nu_\tau)$, $\mathcal B(B_c^- \to
\gamma\tau^-\bar\nu_\tau)$, $R_{D^{(\ast)}}(q^2)$, ${\rm d}\mathcal B(\bar B\to
D^{(\ast)}\tau\bar\nu_\tau)/{\rm d}q^2$ and $\mathcal B(\bar B\to
X_c\tau\bar\nu_\tau)$, on the other hand, the two solutions give sizable
enhancements relative to the SM predictions. With measurement of $B_c^-\to
\tau^-\bar\nu_\tau$ at LHCb and refined measurements of observables in $\bar
B\to D^{(\ast)}\tau\bar\nu_\tau$ at both LHCb and Belle-II, such a specific NP
scenario could be further deciphered.Comment: 30 pages, 7 figures, 4 tables; More references added; One plot, more
  references and discussions added, final version to be published in JHE
Bootstrapping 2D CFTs in the Semiclassical Limit

We study two dimensional conformal field theories in the semiclassical limit.
In this limit, the four-point function is dominated by intermediate primaries
of particular weights along with their descendants, and the crossing equations
simplify drastically. For a four-point function receiving sufficiently small
contributions from the light primaries, the structure constants involving heavy
primaries follow a universal formula. Applying our results to the four-point
function of the $\mathbb Z_2$ twist field in the symmetric product orbifold, we
produce the Hellerman bound and the logarithmically corrected Cardy formula
that is valid for $h \geq c/12$.Comment: 32 pages, 7 figures. v2, v3: references added, minor clarification
Detecting Superlight Dark Matter with Fermi-Degenerate Materials

We examine in greater detail the recent proposal of using superconductors for
detecting dark matter as light as the warm dark matter limit of O(keV).
Detection of such light dark matter is possible if the entire kinetic energy of
the dark matter is extracted in the scattering, and if the experiment is
sensitive to O(meV) energy depositions. This is the case for Fermi-degenerate
materials in which the Fermi velocity exceeds the dark matter velocity
dispersion in the Milky Way of ~10^-3. We focus on a concrete experimental
proposal using a superconducting target with a transition edge sensor in order
to detect the small energy deposits from the dark matter scatterings.
Considering a wide variety of constraints, from dark matter self-interactions
to the cosmic microwave background, we show that models consistent with
cosmological/astrophysical and terrestrial constraints are observable with such
detectors. A wider range of viable models with dark matter mass below an MeV is
available if dark matter or mediator properties (such as couplings or masses)
differ at BBN epoch or in stellar interiors from those in superconductors. We
also show that metal targets pay a strong in-medium suppression for kinetically
mixed mediators; this suppression is alleviated with insulating targets.Comment: 40 pages, 10 figures; v2: updated figures, matches published versio
Naturalness of MSSM dark matter

There exists a vast literature examining the electroweak (EW) fine-tuning
problem in supersymmetric scenarios, but little concerned with the dark matter
(DM) one, which should be combined with the former. In this paper, we study
this problem in an, as much as possible, exhaustive and rigorous way. We have
considered the MSSM framework, assuming that the LSP is the lightest
neutralino, $\chi_1^0$, and exploring the various possibilities for the mass
and composition of $\chi_1^0$, as well as different mechanisms for annihilation
of the DM particles in the early Universe (well-tempered neutralinos, funnels
and co-annihilation scenarios). We also present a discussion about the
statistical meaning of the fine-tuning and how it should be computed for the DM
abundance, and combined with the EW fine-tuning. The results are very robust
and model-independent and favour some scenarios (like the h-funnel when
$M_{\chi_1^0}$ is not too close to $m_h/2$) with respect to others (such as the
pure wino case). These features should be taken into account when one explores
"natural SUSY" scenarios and their possible signatures at the LHC and in DM
detection experiments.Comment: 28 pages, 18 figures. References added, matches JHEP published
  versio
Comments on twisted indices in 3d supersymmetric gauge theories

We study three-dimensional ${\mathcal N}=2$ supersymmetric gauge theories on
${\Sigma_g \times S^1}$ with a topological twist along $\Sigma_g$, a genus-$g$
Riemann surface. The twisted supersymmetric index at genus $g$ and the
correlation functions of half-BPS loop operators on $S^1$ can be computed
exactly by supersymmetric localization. For $g=1$, this gives a simple UV
computation of the 3d Witten index. Twisted indices provide us with a clean
derivation of the quantum algebra of supersymmetric Wilson loops, for any
Yang-Mills-Chern-Simons-matter theory, in terms of the associated Bethe
equations for the theory on ${\mathbb R}^2 \times S^1$. This also provides a
powerful and simple tool to study 3d ${\mathcal N}=2$ Seiberg dualities.
Finally, we study A- and B-twisted indices for ${\mathcal N}=4$ supersymmetric
gauge theories, which turns out to be very useful for quantitative studies of
three-dimensional mirror symmetry. We also briefly comment on a relation
between the $S^2 \times S^1$ twisted indices and the Hilbert series of
${\mathcal N}=4$ moduli spaces.Comment: 66 pages plus appendix; v2: corrected typos and added reference
Diphotons at the $Z$-pole in Models of the 750 GeV Resonance Decaying to
  Axion-Like Particles

Models in which the 750 GeV resonance ($S$) decays to two light axion-like
particles (ALPs $a$), which in turn decay to collimated photons mimicking the
observed signal, are motivated by Hidden Valley scenarios and could also
provide a mechanism by which a $S \to \gamma \gamma$ signal persists while $S
\to Z \gamma,\; ZZ$ and $WW$ remain subdued in the near future. We point out
that these Hidden Valley like models invoking $S \to aa \to 4 \gamma$ must also
contend with $Z \to a (\to \gamma \gamma) \gamma$ constraints coming from CDF
and ATLAS. Within an effective field theory framework, we work out the
constraints on the couplings of $S$ to $a$ and gauge bosons coming from
photonic $Z$ decays and ensuring that the ALPs decay inside the electromagnetic
calorimeter, in two regimes - where $a$ decays primarily to photons, and where
$a$ also has hadronic branchings. The analysis is done for both when $S$ has a
large as well as a narrow width, and for different relative contributions to
the signal coming from $S \to \gamma \gamma$ and $a \to \gamma \gamma$. Results
for the particular case where $S$ and $a$ belong to the same complex field are
also presented. A $\gamma\gamma$ resonance at the $Z$-pole coming from $Z \to a
\gamma$ is expected in this class of models. Taking benchmark ALP masses below
around 0.4 GeV and, assuming reasonable values for the fake jet rate and the
identification efficiency of the photon-jet, we find the prospects for the
discovery of diphotons at the $Z$-pole.Comment: 19 pages, 11 figure
Strong coupling results from the numerical solution of the quantum
  spectral curve

In this paper, we solved numerically the Quantum Spectral Curve (QSC)
equations corresponding to some twist-2 single trace operators with even spin
from the $sl(2)$ sector of $AdS_5/CFT_4$ correspondence. We describe all
technical details of the numerical method which are necessary to implement it
in C++ language.
  In the $S=2,4,6,8$ cases, our numerical results confirm the analytical
results, known in the literature for the first 4 coefficients of the strong
coupling expansion for the anomalous dimensions of twist-2 operators. In the
case of the Konishi operator, due to the high precision of the numerical data
we could give numerical predictions to the values of two further coefficients,
as well.
  The strong coupling behaviour of the coefficients $c_{a,n}$ in the power
series representation of the ${\bf P}_{\!a}$-functions is also investigated.
Based on our numerical data, in the regime, where the index of the coefficients
is much smaller than $\lambda^{1/4}$, we conjecture that the coefficients have
polynomial index dependence at strong coupling. This allows one to propose a
strong coupling series representation for the ${\bf P}$-functions being valid
far enough from the real short cut. In the paper the qualitative strong
coupling behaviour of the ${\bf P}$-functions at the branch points is also
discussed.Comment: 72 pages, 9 figures, 5 ancillary file
Towards Geometric D6-Brane Model Building on non-Factorisable Toroidal
  $\mathbb{Z}_4$-Orbifolds

We present a geometric approach to D-brane model building on the
non-factorisable torus backgrounds of $T^6/\mathbb{Z}_4$, which are $A_3 \times
A_3$ and $A_3 \times A_1 \times B_2$. Based on the counting of `short'
supersymmetric three-cycles per complex structure {\it vev}, the number of
physically inequivalent lattice orientations with respect to the
anti-holomorphic involution ${\cal R}$ of the Type IIA/$\Omega\cal{R}$
orientifold can be reduced to three for the $A_3 \times A_3$ lattice and four
for the $A_3 \times A_1 \times B_2$ lattice. While four independent
three-cycles on $A_3 \times A_3$ cannot accommodate phenomenologically
interesting global models with a chiral spectrum, the eight-dimensional space
of three-cycles on $A_3 \times A_1 \times B_2$ is rich enough to provide for
particle physics models, with several globally consistent two- and
four-generation Pati-Salam models presented here.
  We further show that for fractional {\it sLag} three-cycles, the compact
geometry can be rewritten in a $(T^2)^3$ factorised form, paving the way for a
generalisation of known CFT methods to determine the vector-like spectrum and
to derive the low-energy effective action for open string states.Comment: 50+Appendix, 10 figures; v2: references adde
Large $N$ matrix models for 3d ${\cal N}=2$ theories: twisted index,
  free energy and black holes

We provide general formulae for the topologically twisted index of a general
three-dimensional ${\cal N}\geq 2$ gauge theory with an M-theory or massive
type IIA dual in the large $N$ limit. The index is defined as the
supersymmetric path integral of the theory on $S^2\times S^1$ in the presence
of background magnetic fluxes for the R- and global symmetries and it is
conjectured to reproduce the entropy of magnetically charged static BPS AdS$_4$
black holes. For a class of theories with an M-theory dual, we show that the
logarithm of the index scales indeed as $N^{3/2}$ (and $N^{5/3}$ in the massive
type IIA case). We find an intriguing relation with the (apparently unrelated)
large $N$ limit of the partition function on $S^3$. We also provide a universal
formula for extracting the index from the large $N$ partition function on $S^3$
and its derivatives and point out its analogy with the attractor mechanism for
AdS black holes.Comment: 39 pages; v2: refs added; v3: typos remove
Conformal Complex Singlet Extension of the Standard Model: Scenario for
  Dark Matter and a Second Higgs Boson

We consider a conformal complex singlet extension of the Standard Model with
a Higgs portal interaction. The global $U(1)$ symmetry of the complex singlet
can be either broken or unbroken and we study each scenario. In the unbroken
case, the global $U(1)$ symmetry protects the complex singlet from decaying,
leading to an ideal cold dark matter candidate with approximately 100 GeV mass
along with a significant proportion of thermal relic dark matter abundance. In
the broken case, we have developed a renormalization-scale optimization
technique to significantly narrow the parameter space and in some situations,
provide unique predictions for all the model's couplings and masses. We have
found there exists a second Higgs boson with a mass of approximately
$550\,\rm{GeV}$ that mixes with the known $125\,\rm{GeV}$ Higgs with a large
mixing angle $\sin\theta\approx 0.47$ consistent with current experimental
limits. The imaginary part of the complex singlet in the broken case could
provide axion dark matter for a wide range of models. Upon including
interactions of the complex scalar with an additional vector-like fermion, we
explore the possibility of a diphoton excess in both the unbroken and the
broken cases. In the unbroken case, the model can provide a natural explanation
for diphoton excess if extra terms are introduced providing extra contributions
to the singlet mass. In the broken case, we find a set of coupling solutions
that yield a second Higgs boson of mass $720\,\rm{GeV}$ and an $830\,\rm{GeV}$
extra vector-like fermion $F$, which is able to address the $750\,\rm{GeV}$ LHC
diphoton excess. We also provide criteria to determine the symmetry breaking
pattern in both the Higgs and hidden sectors.Comment: 12 pages and 1 figure. Published in JHE
Anomalous dimensions of scalar operators in $QED_3$

The infrared dynamics of $2+1$ dimensional quantum electrodynamics (QED$_3$)
with a large number $N$ of fermion flavors is governed by an interacting CFT
that can be studied in the $1/N$ expansion. We use the $1/N$ expansion to
calculate the scaling dimensions of all the lowest three scalar operators that
transform under the $SU(N)$ flavor symmetry as a Young diagram with two columns
of not necessarily equal heights and that have vanishing topological charge. In
the case of $SU(N)$ singlets, we study the mixing of $(\bar \psi_i \psi^i)(\bar
\psi_j \psi^j)$ and $F_{\mu\nu} F^{\mu\nu}$, which are the lowest dimension
parity-even singlets. Our results suggest that these operators are irrelevant
for all $N>1$.Comment: 33 pages, 13 figures, v2 minor improvements, refs adde
F-Theory and N=1 SCFTs in Four Dimensions

Using the F-theory realization, we identify a subclass of 6d (1,0) SCFTs
whose compactification on a Riemann surface leads to N = 1 4d SCFTs where the
moduli space of the Riemann surface is part of the moduli space of the theory.
In particular we argue that for a special case of these theories (dual to M5
branes probing ADE singularities), we obtain 4d N = 1 theories whose space of
marginal deformations is given by the moduli space of flat ADE connections on a
Riemann surface.Comment: v2: added an exampl
The Effect of the Infrared Phase of the Discrete BFKL Pomeron on
  Transverse Momentum Diffusion

Imposing infrared boundary conditions on the BFKL equation with running
coupling transforms the complex momentum w-plane cut present in the gluon Green
function into an infinite series of positive Regge poles. In addition, a cut on
the negative w line remains. We consider a Hermitian kernel at leading order
with running coupling and construct the gluon Green function performing the w
integration away from the real axis. We find a strong dependence of the
asymptotic intercepts and collinear behaviour on the non-perturbative choice of
the boundary conditions, in the form of an infrared phase. This is particularly
manifest in the asymmetric infrared/ultraviolet structure of the associated
diffusion in transverse momentum. We find that random walks into the infrared
region are largely reduced in this approach.Comment: 15 pages, 11 figure
Unfolded equations for massive higher spin supermultiplets in AdS_3

In this paper we give an explicit construction of unfolded equations for
massive higher spin supermultiplets of the minimal (1,0) supersymmetry in AdS_3
space. For that purpose we use an unfolded formulation for massive bosonic and
fermionic higher spins and find supertransformations leaving appropriate set of
unfolded equations invariant. We provide two general supermultiplets (s, s+1/2)
and (s, s-1/2) with arbitrary integer s, as well as a number of lower spin
examples.Comment: 20 pages, no figures. Some comments and references added; v3: typos
  correcte
A Proposal On Culling & Filtering A Coxeter Group For 4D, N = 1
  Spacetime SUSY Representations

We review the mathematical tools required to cull and filter representations
of the Coxeter Group $BC_4$ into providing bases for the construction of
minimal off-shell representations of the 4D, $ {\cal N}$ = 1 spacetime
supersymmetry algebra. Of necessity this includes a description of the
mathematical mechanism by which four dimensional Lorentz symmetry appears as an
emergent symmetry in the context of one dimensional adinkras with four colors
described by the Coxeter Group $BC_4$.Comment: LaTeX twice, 1 figure, 11 ppg, (update includes comment on number of
  acceptable four-color adinkras
EPR Pairs, Local Projections and Quantum Teleportation in Holography

In this paper we analyze three quantum operations in two dimensional
conformal field theories (CFTs): local projection measurements, creations of
partial entanglement between two CFTs, and swapping of subsystems between two
CFTs. We also give their holographic duals and study time evolutions of
entanglement entropy. By combining these operations, we present an analogue of
quantum teleportation between two CFTs and give its holographic realization. We
introduce a new quantity to probe tripartite entanglement by using local
projection measurement.Comment: 61 pages, 24 figures. v2: comments and refs added. v3: minor
  correction
Electron electric dipole moment in Inverse Seesaw models

We consider the contribution of sterile neutrinos to the electric dipole
moment of charged leptons in the most minimal realisation of the Inverse Seesaw
mechanism, in which the Standard Model is extended by two right-handed
neutrinos and two sterile fermion states. Our study shows that the two pairs of
(heavy) pseudo-Dirac mass eigenstates can give significant contributions to the
electron electric dipole moment, lying close to future experimental sensitivity
if their masses are above the electroweak scale. The major contribution comes
from two-loop diagrams with pseudo-Dirac neutrino states running in the loops.
In our analysis we further discuss the possibility of having a successful
leptogenesis in this framework, compatible with a large electron electric
dipole moment.Comment: 19 pages, 4 figures, minor changes, one appendix added, version
  accepted in JHE
Gravity duals of supersymmetric gauge theories on three-manifolds

We study gravity duals to a broad class of N=2 supersymmetric gauge theories
defined on a general class of three-manifold geometries. The gravity
backgrounds are based on Euclidean self-dual solutions to four-dimensional
gauged supergravity. As well as constructing new examples, we prove in general
that for solutions defined on the four-ball the gravitational free energy
depends only on the supersymmetric Killing vector, finding a simple closed
formula when the solution has U(1) x U(1) symmetry. Our result agrees with the
large N limit of the free energy of the dual gauge theory, computed using
localization. This constitutes an exact check of the gauge/gravity
correspondence for a very broad class of gauge theories with a large N limit,
defined on a general class of background three-manifold geometries.Comment: 74 pages, 2 figures; v2: minor change