pinecone/core-2020-05-10-deduplication huggingface dataset:
Instanton Corrections of 1/6 BPS Wilson Loops in ABJM Theory

We study instanton corrections to the vacuum expectation value (VEV) of 1/6
BPS Wilson loops in ABJM theory from the Fermi gas approach. We mainly consider
Wilson loops in the fundamental representation and winding Wilson loops, but we
also initiate the study of Wilson loops with two boundaries. We find that the
membrane instanton corrections to the Wilson loop VEV are determined by the
refined topological string in the Nekrasov-Shatashvili limit, and the pole
cancellation mechanism between membrane instantons and worldsheet instantons
works also in the Wilson loop VEVs as in the case of the partition functions.Comment: 40 pages, 12 figure
CP asymmetry in heavy Majorana neutrino decays at finite temperature:
  the hierarchical case

We consider the simplest realization of leptogenesis with one heavy Majorana
neutrino species much lighter than the other ones. In this scenario, when the
temperature of the early universe is smaller than the lightest Majorana
neutrino mass, we compute at first order in the Standard Model couplings and,
for each coupling, at leading order in the termperature the CP asymmetry in the
decays of the lightest neutrino into leptons and anti-leptons. We perform the
calculation using a hierarchy of two effective field theories organized as
expansions in the inverse of the heavy-neutrino masses. In the ultimate
effective field theory, leading thermal corrections proportional to the Higgs
self coupling and the gauge couplings are encoded in one single operator of
dimension five, whereas corrections proportional to the top Yukawa coupling are
encoded in four operators of dimension seven, which we compute.Comment: 34 pages, 23 figure
The monodromy of T-folds and T-fects

We construct a class of codimension-2 solutions in supergravity that realize
T-folds with arbitrary $O(2,2,\mathbb{Z})$ monodromy and we develop a geometric
point of view in which the monodromy is identified with a product of Dehn
twists of an auxiliary surface $\Sigma$ fibered on a base $\mathcal{B}$. These
defects, that we call T-fects, are identified by the monodromy of the mapping
torus obtained by fibering $\Sigma$ over the boundary of a small disk
encircling a degeneration. We determine all possible local geometries by
solving the corresponding Cauchy-Riemann equations, that imply the equations of
motion for a semi-flat metric ansatz. We discuss the relation with the
F-theoretic approach and we consider a generalization to the T-duality group of
the heterotic theory with a Wilson line.Comment: 60 pages, 12 figure
Entanglement entropy for free scalar fields in AdS

We compute entanglement entropy for free massive scalar fields in anti-de
Sitter (AdS) space. The entangling surface is a minimal surface whose boundary
is a sphere at the boundary of AdS. The entropy can be evaluated from the
thermal free energy of the fields on a topological black hole by using the
replica method. In odd-dimensional AdS, exact expressions of the Renyi entropy
$S_n$ are obtained for arbitrary $n$. We also evaluate 1-loop corrections
coming from the scalar fields to holographic entanglement entropy. Applying the
results, we compute the leading difference of entanglement entropy between two
holographic CFTs related by a renormalization group flow triggered by a double
trace deformation. The difference is proportional to the shift of a central
charge under the flow.Comment: v3: 25 pages, 2 figures, typos correcte
Causal Evolutions of Bulk Local Excitations from CFT

Bulk localized excited states in an AdS spacetime can be constructed from
Ishibashi states with respect to the global conformal symmetry in the dual CFT.
We study boundary two point functions of primary operators in the presence of
bulk localized excitations in two dimensional CFTs. From two point functions in
holographic CFTs, we observe causal propagations of radiations when the mass of
dual bulk scalar field is close to the BF bound. This behavior for holographic
CFTs is consistent with the locality and causality in classical gravity duals.
We also show that this cannot be seen in free fermion CFTs. Moreover, we find
that the short distance behavior of two point functions is universal and obeys
the relation which generalizes the first law of entanglement entropy.Comment: 23pages, Late
Anatomy of double heavy-quark initiated processes

A number of phenomenologically relevant processes at hadron colliders, such
as Higgs and Z boson production in association with b quarks, can be
conveniently described as scattering of heavy quarks in the initial state. We
present a detailed analysis of this class of processes, identifying the form of
the leading initial-state collinear logarithms that allow the relation of
calculations performed in different flavour schemes in a simple and reliable
way. This procedure makes it possible to assess the size of the logarithmically
enhanced terms and the effects of their resummation via heavy-quark parton
distribution functions. As an application, we compare the production of
(SM-like and heavy) scalar and vector bosons in association with b quarks at
the LHC in the four- and five-flavour schemes as well as the production of a
heavy Z' in association with top quarks at a future 100 TeV hadron collider in
the five- and six-flavour schemes. We find that, in agreement with a previous
analysis of single heavy-quark initiated processes, the size of the
initial-state logarithms is mitigated by a kinematical suppression. The most
important effects of the resummation are a shift of the central predictions
typically of about 20% at a justified value of the scale of each considered
process and a significant reduction of scale variation uncertainties.Comment: 27 pages, 12 figure
Cross-ratio Identities and Higher-order Poles of CHY-integrand

The evaluation of generic Cachazo-He-Yuan(CHY)-integrands is a big challenge
and efficient computational methods are in demand for practical evaluation. In
this paper, we propose a systematic decomposition algorithm by using
cross-ratio identities, which provides an analytic and easy to implement method
for the evaluation of any CHY-integrand. This algorithm aims to decompose a
given CHY-integrand containing higher-order poles as a linear combination of
CHY-integrands with only simple poles in a finite number of steps, which
ultimately can be trivially evaluated by integration rules of simple poles. To
make the method even more efficient for CHY-integrands with large number of
particles and complicated higher-order pole structures, we combine the
$\Lambda$-algorithm and the cross-ratio identities, and as a by-product it
provides us a way to deal with CHY-integrands where the $\Lambda$-algorithm was
not applicable in its original formulation.Comment: 37 pages, 6 figures, v2 references update
HOMFLY polynomials in representation [3,1] for 3-strand braids

This paper is a new step in the project of systematic description of colored
knot polynomials started in arXiv:1506.00339. In this paper, we managed to
explicitly find the inclusive Racah matrix, i.e. the whole set of mixing
matrices in channels R^3->Q with all possible Q, for R=[3,1]. The calculation
is made possible by the use of a newly-developed efficient highest-weight
method, still it remains tedious. The result allows one to evaluate and
investigate [3,1]-colored polynomials for arbitrary 3-strand knots, and this
confirms many previous conjectures on various factorizations, universality, and
differential expansions. We consider in some detail the next-to-twist-knots
three-strand family (n,-1|1,-1) and deduce its colored HOMFLY. Also confirmed
and clarified is the eigenvalue hypothesis for the Racah matrices, which
promises to provide a shortcut to generic formulas for arbitrary
representations.Comment: 21 page
Factorization of differential expansion for antiparallel double-braid
  knots

Continuing the quest for exclusive Racah matrices, which are needed for
evaluation of colored arborescent-knot polynomials in Chern-Simons theory, we
suggest to extract them from a new kind of a double-evolution -- that of the
antiparallel double-braids, which is a simple two-parametric family of
two-bridge knots, generalizing the one-parametric family of twist knots. In the
case of rectangular representations $R=[r^s]$ we found an evidence that the
corresponding differential expansion miraculously factorizes and can be
obtained from that for the twist knots. This reduces the problem of rectangular
exclusive Racah to constructing the answers for just a few twist knots. We
develop a recent conjecture on the structure of differential expansion for the
simplest members of this family (the trefoil and the figure-eight knot) and
provide the exhaustive answer for the first unknown case of $R=[33]$. The
answer includes HOMFLY of arbitrary twist and double-braid knots and Racah
matrices $\bar S$ and $S$ -- what allows to calculate $[33]$-colored
polynomials for arbitrary arborescent (double-fat) knots. For generic
rectangular representations described in detail are only the contributions of
the single- and two-floor pyramids, the way to proceed is explicitly
illustrated by the examples of $R=[44]$ and $R=[55]$. This solves the difficult
part of the problem, but the last tedious step towards explicit formulas for
generic exclusive rectangular Racah matrices still remains to be made.Comment: 32 page
On scalar propagators of three-dimensional higher-spin black holes

We explore some aspects of three-dimensional higher-spin holography by
studying scalar fluctuations in the background of higher-spin black holes. We
furnish an independent derivation of the bulk-boundary propagator by purely
invoking a well-known infinite dimensional matrix representation of
$hs[\lambda]$ algebra related to its construction as a quotient of the
universal enveloping algebra of $sl(2)$, thus evading the need in previous
literature to perform an analytic continuation from some integer to $\lambda$.
The propagator and the boundary two-point functions are derived for black hole
solutions in $hs[\lambda]\times hs[\lambda]$ Chern-Simons theory with spin-3
and spin-4 charges up to second-order in the potentials. We match them with
three- and four-point torus correlation functions of the putative dual
conformal field theory which has $\mathcal{W}_\infty [\lambda]$ symmetry and is
deformed by higher-spin currents.Comment: 27 pages. v3: references adde
Gravity duals of boundary cones

The replica trick defines Renyi entropies as partition functions on conically
singular geometries. We discuss their gravity duals: regular bulk solutions to
the Einstein equations inducing conically singular metrics at the boundary.
When the conical singularity is supported on a flat or spherical surface, these
solutions are rewritings of the hyperbolic black hole. For more general shapes,
these solutions are new. We construct them perturbatively in a double expansion
in the distance and strength of the conical singularity, and extract the vacuum
polarisation due to the cone. Recent results about the structure of logarithmic
divergences of Renyi entropies are reproduced ---in particular, $f_b\neq f_c$.
We discuss in detail the dynamical resolution of the singularity in the bulk.
This resolution is in agreement with a previous proposal, and indicates a
non-minimal settling to the `splitting problem': an apparent ambiguity in the
holographic entropy formula of certain theories with higher derivatives.Comment: v3: 31 pages. Typos corrected and some clarifications. Matches
  publishe
Searching for a Cosmological Preferred Axis in complicated class of
  cosmological models:Case study $f(R,T)$ model

Recent astronomical observations show that the universe may be anisotropic on
large scales. The Union2 SnIa data hint that the universe has a preferred
direction. If such a cosmological privileged axis indeed exists, one has to
consider an anisotropic expanding Universe instead of the isotropic
cosmological model. In this paper, we present a detailed analysis of the dark
energy dipole in $f(R,T)=f_{1}(R)+f_{2}(T)$ Cosmological Model using three
types of dipole fit (DF) method which are (I)dipole + monopole fitting for
distance modulus(DMFDM), (II)dipole + monopole fitting for luminosity
distance(DMFLD) and (III) general dipole fitting for luminosity
distance(GDFLD). We have found the maximum anisotropic deviation direction for
(DMFDM) method as $(l, b)=(315^{+25}_{-25},-23^{+14}_{-15})$, for (DMFLD) as
$(l, b)=(l, b)=(315^{+35}_{-37},-23^{+18}_{-18})$, and for (GDFLD) method as
$(l, b)=(317^{+32}_{-32},-23^{+18}_{-18})$ which are located very close to each
other. We compare our model with the $CPL$, $\Lambda CDM$ and $\omega CDM$
models. Constraints on $(l, b)$ in $f(R, T)$ model are not much different from
the cases of the $CPL$, $\Lambda CDM$ and $\omega CDM$ models. Moreover, the
results are consistent with other studies.Comment: 40 page 25 fig. arXiv admin note. arXiv admin note: text overlap with
  arXiv:1303.0961, arXiv:1302.1866, arXiv:1411.1466, arXiv:1107.5807,
  arXiv:1306.3164 by other author
Manifest Duality for Partially Massless Higher Spins

In four dimensions, partially massless fields of all spins and depths possess
a duality invariance akin to electric-magnetic duality. We construct
metric-like gauge invariant curvature tensors for partially massless fields of
all integer spins and depths, and show how the partially massless equations of
motion can be recovered from first order field equations and Bianchi identities
for these curvatures. This formulation displays duality in its manifestly local
and covariant form, in which it acts to interchange the field equations and
Bianchi identities.Comment: 46 pages, 1 figur
Analytic black branes in Lifshitz-like backgrounds and thermalization

Using black brane solutions in 5d Lifshitz-like backgrounds with arbitrary
dynamical exponent $\nu$, we construct the Vaidya geometry, asymptoting to the
Lifshitz-like spacetime, which represents a thin shell infalling at the speed
of light. We apply the new Lifshitz-Vaidya background to study the
thermalization process of the quark-gluon plasma via the thin shell approach
previously successfully used in several backgrounds. We find that the
thermalization depends on the chosen direction because of the spatial
anisotropy. The plasma thermalizes thus faster in the transversal direction
than in the longitudinal one. To probe the system described by the
Lifshitz-like backgrounds, we also calculate the holographic entanglement
entropy for the subsystems delineated along both transversal and longitudinal
directions. We show that the entropy has some universality in the behavior for
both subsystems. At the same time, we find that certain characteristics
strongly depend on the critical exponent $\nu$.Comment: 39 pages, 23 figures; v3: typos corrected, references and
  clarifications added, version published in JHE
Gauge-independent Renormalization of the 2-Higgs-Doublet Model

The 2-Higgs-Doublet Model (2HDM) belongs to the simplest extensions of the
Standard Model (SM) Higgs sector that are in accordance with theoretical and
experimental constraints. In order to be able to properly investigate the
experimental Higgs data and, in the long term to distinguish between possible
models beyond the SM, precise predictions for the Higgs boson observables have
to be made available on the theory side. This requires the inclusion of the
higher order corrections. In this work, we investigate in detail the
renormalization of the 2HDM, a pre-requisite for the computation of higher
order corrections. We pay particular attention to the renormalization of the
mixing angles $\alpha$ and $\beta$, which diagonalize the Higgs mass matrices
and which enter all Higgs observables. The implications of various
renormalization schemes in next-to-leading order corrections to the sample
processes $H^\pm \to W^\pm h/H$ and $H \to ZZ$ are investigated. Based on our
findings, we will present a renormalization scheme that is at the same time
process independent, gauge independent and numerically stable
Holographic Entanglement Entropy in NMG

In this paper, we show that a higher derivative theory, such as New Massive
Gravity, allows the existence of new entangling surfaces with non-zero
extrinsic curvature. We perform the analysis for Lifshitz and Warped $AdS$
space times, revealing the role of the higher derivative contributions in the
calculation of the holographic entanglement entropy. Finally, as an outcome of
our holographic analysis we briefly comment on the dual boundary theory.Comment: 23 pages, 1 figure. v3: published versio
Hair on non-extremal D1-D5 bound states

We consider a truncation of type IIB supergravity on four-torus where in
addition to the Ramond-Ramond 2-form field, the Ramond-Ramond axion (w) and the
NS-NS 2-form field (B) are also retained. In the (w, B) sector we construct a
linearised perturbation carrying only left moving momentum on two-charge
non-extremal D1-D5 geometries of Jejjala, Madden, Ross and Titchener. The
perturbation is found to be smooth everywhere and normalizable. It is
constructed by matching to leading order solutions of the perturbation
equations in the inner and outer regions of the geometry.Comment: 24 pages, no figures; v2: footnotes added; v3: JHEP version; v4:
  results unchanged, app B removed, a footnote added, supersedes published
  versio
The Flavor of the Composite Twin Higgs

The assumption of anarchic quark flavor puts serious stress on composite
Higgs models: flavor bounds imply a tuning of a few per-mille (at best) in the
Higgs potential. Composite twin Higgs (CTH) models significantly reduce this
tension by opening up a new region of parameter space, obtained by raising the
coupling among the composites close to the strong coupling limit $g_* \sim
4\pi$, thereby raising the scale of composites to around 10 TeV. This does not
lead to large tuning in the Higgs potential since the leading quantum
corrections are canceled by the twin partners (rather than the composites). We
survey the leading flavor bounds on the CTH, which correspond to tree-level
$\Delta F=2$ four-Fermi operators from Kaluza-Klein (KK) Z exchange in the kaon
system and 1-loop corrections from KK fermions to the electric dipole moment of
the neutron. We provide a parametric estimate for these bounds and also perform
a numeric scan of the parameter space using the complete calculation for both
quantities. The results confirm our expectation that CTH models accommodate
anarchic flavor significantly better than regular composite Higgs (CH) models.
Our conclusions apply both to the identical and fraternal twin cases.Comment: 35 pages, 9 figure
Neutrino Mass, Dark Matter and Anomalous Magnetic Moment of Muon in a
  $U(1)_{L_{\mu}-L_{\tau}}$ Model

The observation of neutrino masses, mixing and the existence of dark matter
are amongst the most important signatures of physics beyond the Standard Model
(SM). In this paper, we propose to extend the SM by a local $L_\mu - L_\tau$
gauge symmetry, two additional complex scalars and three right-handed
neutrinos. The $L_\mu - L_\tau$ gauge symmetry is broken spontaneously when one
of the scalars acquires a vacuum expectation value. The $L_\mu - L_\tau$ gauge
symmetry is known to be anomaly free and can explain the beyond SM measurement
of the anomalous muon $({\rm g-2})$ through additional contribution arising
from the extra $Z_{\mu\tau}$ mediated diagram. Small neutrino masses are
explained naturally through the Type-I seesaw mechanism, while the mixing
angles are predicted to be in their observed ranges due to the broken
$L_\mu-L_\tau$ symmetry. The second complex scalar is shown to be stable and
becomes the dark matter candidate in our model. We show that while the
$Z_{\mu\tau}$ portal is ineffective for the parameters needed to explain the
anomalous muon $({\rm g-2})$ data, the correct dark matter relic abundance can
easily be obtained from annihilation through the Higgs portal. Annihilation of
the scalar dark matter in our model can also explain the Galactic Centre gamma
ray excess observed by Fermi-LAT. We show the predictions of our model for
future direct detection experiments and neutrino oscillation experiments.Comment: 33 pages, 12 figures, 3 Tables, Version accepted for publication in
  JHE
Abelian tensor hierarchy in 4D ${\cal N}=1$ conformal supergravity

We consider Abelian tensor hierarchy in four-dimensional ${\cal N}=1$
supergravity in the conformal superspace formalism, where the so-called
covariant approach is used to antisymmetric tensor fields. We introduce
$p$-form gauge superfields as superforms in the conformal superspace. We solve
the Bianchi identities under the constraints for the superforms. As a result,
each of form fields is expressed by a single gauge invariant superfield. The
action of superforms is shown with the invariant superfields. We also show the
relation between the superspace formalism and the superconformal tensor
calculus.Comment: 31 page
Little Conformal Symmetry

We explore a new class of natural models which ensure the one-loop
divergences in the Higgs mass are cancelled. The top-partners that cancel the
top loop are new gauge bosons, and the symmetry relation that ensures the
cancellation arises at an infrared fixed point. Such a cancellation mechanism
can, a la Little Higgs models, push the scale of new physics that completely
solves the hierarchy problem up to 5-10 TeV. When embedded in a supersymmetric
model, the stop and gaugino masses provide the cutoffs for the loops, and the
mechanism ensures a cancellation between the stop and gaugino mass dependence
of the Higgs mass parameter.Comment: 15 pages, 3 figure
Naturalizing Supersymmetry with a Two-Field Relaxion Mechanism

We present a supersymmetric version of a two-field relaxion model that
naturalizes tuned versions of supersymmetry. This arises from a relaxion
mechanism that does not depend on QCD dynamics and where the relaxion potential
barrier height is controlled by a second axion-like field. During the
cosmological evolution, the relaxion rolls with a nonzero value that breaks
supersymmetry and scans the soft supersymmetric mass terms. Electroweak
symmetry is broken after the soft masses become of order the supersymmetric
Higgs mass term and causes the relaxion to stop rolling for superpartner masses
up to $\sim 10^9$ GeV. This can explain the tuning in supersymmetric models,
including split-SUSY models, while preserving the QCD axion solution to the
strong CP problem. Besides predicting two very weakly-coupled axion-like
particles, the supersymmetric spectrum may contain an extra Goldstino, which
could be a viable dark matter candidate.Comment: 33 pages, 3 figures; v2: bounds and figures correcte
Equivalence of Emergent de Sitter Spaces from Conformal Field Theory

Recently, two groups have made distinct proposals for a de Sitter space that
is emergent from conformal field theory (CFT). The first proposal is that, for
two-dimensional holographic CFTs, the kinematic space of geodesics on a
spacelike slice of the asymptotically anti-de Sitter bulk is two-dimensional de
Sitter space (dS$_2$), with a metric that can be derived from the entanglement
entropy of intervals in the CFT. In the second proposal, de Sitter dynamics
emerges naturally from the first law of entanglement entropy for perturbations
around the vacuum state of CFTs. We provide support for the equivalence of
these two emergent spacetimes in the vacuum case and beyond. In particular, we
study the kinematic spaces of nontrivial solutions of $3$d gravity, including
the BTZ black string, BTZ black hole, and conical singularities. We argue that
the resulting spaces are generically globally hyperbolic spacetimes that
support dynamics given boundary conditions at future infinity. For the BTZ
black string, corresponding to a thermal state of the CFT, we show that both
prescriptions lead to an emergent hyperbolic patch of dS$_2$. We offer a
general method for relating kinematic space and the auxiliary de Sitter space
that is valid in the vacuum and thermal cases.Comment: 46 pages, 20 figures; v2: typos fixed, minor clarifications, added
  analysis of entanglement entropy phase transitions in Sections 2.4, 2.5 and