pinecone/core-2020-05-10-deduplication huggingface dataset:
Extended Supersymmetry on Curved Spaces

We study N=2 superconformal theories on Euclidean and Lorentzian
four-manifolds with a view toward applications to holography and localization.
The conditions for supersymmetry are equivalent to a set of differential
constraints including a "generalised" conformal Killing spinor equation
depending on various background fields. We solve these equations in the general
case and give very explicit expressions for the auxiliary fields that we need
to turn on to preserve some supersymmetry. As opposed to what has been observed
for the N=1 case, the conditions for unbroken supersymmetry turn out to be
almost independent of the signature of spacetime, with the exception of few
degenerate cases including the topological twist. Generically, the only
geometrical constraint coming from supersymmetry is the existence of a
conformal Killing vector on the manifold, all other constraints determine the
background auxiliary fields.Comment: 31 pages, v2: minor changes and important references adde
Entropic Counterpart of Perturbative Einstein Equation

Entanglement entropy in a field theory, with a holographic dual, may be
viewed as a quantity which encodes the diffeomorphism invariant bulk gravity
dynamics. This, in particular, indicates that the bulk Einstein equations would
imply some constraints for the boundary entanglement entropy. In this paper we
focus on the change in entanglement entropy, for small but arbitrary
fluctuations about a given state, and analyze the constraints imposed on it by
the perturbative Einstein equations, linearized about the corresponding bulk
state. Specifically, we consider linear fluctuations about BTZ black hole in 3
dimension, pure AdS and AdS Schwarzschild black holes in 4 dimensions and
obtain a diffeomorphism invariant reformulation of linearized Einstein equation
in terms of holographic entanglement entropy. We will also show that
entanglement entropy for boosted subsystems provides the information about all
the components of the metric with a time index.Comment: 21 pages, 4 figures; v2: new reference adde
The entropy of a hole in spacetime

We compute the gravitational entropy of 'spherical Rindler space', a
time-dependent, spherically symmetric generalization of ordinary Rindler space,
defined with reference to a family of observers traveling along non-parallel,
accelerated trajectories. All these observers are causally disconnected from a
spherical region H (a 'hole') located at the origin of Minkowski space. The
entropy evaluates to S = A/4G, where A is the area of the spherical
acceleration horizon, which coincides with the boundary of H. We propose that S
is the entropy of entanglement between quantum gravitational degrees of freedom
supporting the interior and the exterior of the sphere H.Comment: 9 pages, 1 figure; v2: published version including updated reference
Invisible Higgs Decay in a Supersymmetric Inverse Seesaw Model with
  Light Sneutrino Dark Matter

Within the framework of a constrained Minimal Supersymmetric Standard Model
(cMSSM) augmented by an MSSM singlet-pair sector to account for the non-zero
neutrino masses by inverse seesaw mechanism, the lightest supersymmetric
particle (LSP) can be a mixed sneutrino with mass as small as 50 GeV,
satisfying all existing constraints, thus qualifying as a light dark matter
candidate. We study the possibility of the lightest neutral Higgs boson in this
model decaying invisibly into a pair of sneutrino LSPs, thereby giving rise to
novel missing energy signatures at the LHC. We perform a two-parameter global
analysis of the LHC Higgs data available till date to determine the optimal
invisible Higgs branching fraction in this scenario, and obtain a
$2\sigma(1\sigma)$ upper limit of 0.23 (0.12). A detailed cut-based analysis is
carried out thereafter, demonstrating the viability of our proposed signal
vis-a-vis backgrounds at the LHC.Comment: 29 pages, 10 figures and 7 tables. Text and references added, some
  numbers changed slightly due to a small error in coding. To appear in JHE
NNLOPS simulation of Higgs boson production

We detail a simulation of Higgs boson production via gluon fusion, accurate
at next-to-next-to-leading order in the strong coupling, including matching to
a parton shower, yielding a fully exclusive, hadron-level description of the
final-state. The approach relies on the POWHEG method for merging the NLO Higgs
plus jet cross-section with the parton shower, and on the MINLO method to
simultaneously achieve NLO accuracy for inclusive Higgs boson production. The
NNLO accuracy is reached by a reweighting procedure making use of the HNNLO
program.Comment: 25 pages, 10 figures. Very minor clarifications in the text for v
Implications of LHC data on 125GeV Higgs-like boson for the Standard
  Model and its various extensions

Recent data on 125 GeV Higgs-like boson at the LHC starts to constrain the
electroweak symmetry breaking sector of the SM and its various extensions. If
one imposes the local gauge symmetry of the Standard Model (SM) ($SU(3)_c
\times SU(2)_L \times U(1)_Y$) to the SM and any possible new physics
scenarios, the SM Higgs properties will be modified by intrinsically two
different ways: by new physics either coupling directly to the SM Higgs boson
$h$, or affecting indirectly the SM Higgs properties through the mixing of $h$
with a SM singlet scalar $s$. The models of two Higgs doublet, extra sequential
and mirror fermions belong to the first category, whereas the models with a
hidden sector dark matter, extra vector-like fermions and new charged vector
bosons, which can enhance the diphoton rate of the SM Higgs-like resonance,
belong to the second category. We perform a global fit to data in terms of the
effective Lagrangian description of two interaction eigenstates of scalar
bosons, a SM Higgs and a singlet scalar, and their mixing. This framework is
more suitable to study singlet-extended scenarios discussed above compared to
other approaches based on the Lagrangian of mass eigenstates. With fairly
model-independent assumptions, the effective Lagrangian contains at most four
free parameters still encompassing the majority of models in the literature.
Interestingly, the SM gives the best fit if all data from ATLAS and CMS are
used, whereas various singlet extensions can fit better to individual ATLAS or
CMS data. Without further assumptions, an upper bound on the total width (or,
non-standard branching ratio) is generically obtained. Furthermore, global fit
based on our parameterization can be used to probe interactions of the singlet
scalar if the singlet resides below $2m_W$.Comment: 43 pages, 9 figures (v2: typos corrected, references added
Supersymmetric SU(5) Grand Unification for a Post Higgs Boson Era

We investigate models of supersymmetric grand unification based on the gauge
group SU(5). We consider models with non-universal gaugino masses and confront
them with low energy constraints, including the Higgs boson mass and the Dark
Matter relic density. We also discuss fine-tuning and show the effect of not
including the mu-parameter into fine tuning determinations. With this
relaxation, we find viable scenarios with low fine tuning and study some model
choices for gaugino mass ratios. We demonstrate that some orbifold inspired
models may provide low fine-tuning and the preferred relic abundance of Dark
Matter while evading all experimental constraints. We present benchmarks that
should be explored at the LHC and future colliders.Comment: 35 pages, 22 figures; version accepted for publicatio
Orthogonal Schurs for Classical Gauge Groups

Finite N physics of half-BPS operators for gauge groups SO(N) and Sp(N) has
recently been studied[1, 2]. Among other things they showed that, alike U(N),
Schur operators (but in the square of their eigenvalues) diagonalize the free
field two-point function of half-BPS operators for SO(N) and Sp(N) gauge
groups. This result was unexpected since Wick contractions behave differently.
In this paper we solve the puzzle by treating all gauge groups in a unified
framework and showing how orthogonality of Schur operators emerges naturally
from the embedding structure of classical Lie algebras g(N) -> g(M). We go
further and we state that orthogonality of Schurs is a gauge group-independent
property for classical gauge groups.Comment: 33 page
Exotic Top Partners and Little Higgs

Little Higgs models often give rise to top partners beyond the minimal ones
necessary for the cancellation of quadratic divergences. We review how this
occurs and discuss the phenomenology of these exotic states. We emphasize the
possible importance of new pseudo-Nambu-Goldstone bosons in top partner decays.
Indeed, cascade decays of exotic top partners may be the best way to discover
these new bosons. We illustrate these points with a new Little Higgs
construction based on an SO(10)/SO(5)^2 coset structure, which fills a gap in
the model building literature. These observations motivate new search
strategies for top partners at the LHC, including for final states with b-jets
and a large multiplicity of electroweak bosons.Comment: 27 pages, 2 figures, 4 tables; v3: JHEP revision -- updated to
  include discussion of naturalness and section 2.1 expande
Top Seesaw with a Custodial Symmetry, and the 126 GeV Higgs

The composite Higgs models based on the top seesaw mechanism commonly possess
an enhanced approximate chiral symmetry, which is spontaneously broken to
produce the Higgs field as the pseudo-Nambu-Goldstone bosons. The minimal model
with only one extra vector-like singlet quark that mixes with the top quark can
naturally give rise to a 126 GeV Higgs boson. However, without having a
custodial symmetry it suffers from the weak-isospin violation constraint, which
pushes the chiral symmetry breaking scale above a few TeV, causing a
substantial fine-tuning for the weak scale. We consider an extension to the
minimal model to incorporate the custodial symmetry by adding a vector-like
electroweak doublet of quarks with hypercharge +7/6. Such a setup also protects
the $Zb\bar{b}$ coupling which is another challenge for many composite Higgs
models. With this addition, the chiral symmetry breaking scale can be lowered
to around 1 TeV, making the theory much less fine-tuned. The Higgs is a
pseudo-Nambu-Goldstone boson of the broken O(5) symmetry. For the Higgs mass to
be 126 GeV, the hypercharge +7/6 quarks should be around or below the chiral
symmetry breaking scale, and are likely to be the lightest new states. The 14
TeV LHC will significantly extend the search reach of these quarks. To probe
the rest of the spectrum, on the other hand, would require a higher-energy
future collider.Comment: 35 pages, 6 figures. v2: several discussions expanded, discussion of
  Higgs-gluon-gluon coupling added, references added, matches published version
  in JHE
Multiple Gluon Exchange Webs

Webs are weighted sets of Feynman diagrams which build up the logarithms of
correlators of Wilson lines, and provide the ingredients for the computation of
the soft anomalous dimension. We present a general analysis of multiple gluon
exchange webs (MGEWs) in correlators of semi-infinite non-lightlike Wilson
lines, as functions of the exponentials of the Minkowski cusp angles,
$\alpha_{ij}$, formed between lines $i$ and $j$. We compute a range of webs in
this class, connecting up to five Wilson lines through four loops, we give an
all-loop result for a special class of diagrams, and we discover a new kind of
relation between webs connecting different numbers of Wilson lines, based on
taking collinear limits. Our results support recent conjectures, stating that
the contribution of any MGEW to the soft anomalous dimension is a sum of
products of polylogarithms, each depending on a single cusp angle, and such
that their symbol alphabet is restricted to $\alpha_{i j}$ and $1 - \alpha_{i
j}^2$. Finally, we construct a simple basis of functions, defined through a
one-dimensional integral representation in terms of powers of logarithms, which
has all the expected analytic properties. This basis allows us to compactly
express the results of all MGEWs computed so far, and we conjecture that it is
sufficient for expressing all MGEWs at any loop order.Comment: 64 pages, 13 figures; minor changes throughou
Mordell-Weil Torsion and the Global Structure of Gauge Groups in
  F-theory

We study the global structure of the gauge group $G$ of F-theory compactified
on an elliptic fibration $Y$. The global properties of $G$ are encoded in the
torsion subgroup of the Mordell-Weil group of rational sections of $Y$.
Generalising the Shioda map to torsional sections we construct a specific
integer divisor class on $Y$ as a fractional linear combination of the
resolution divisors associated with the Cartan subalgebra of $G$. This divisor
class can be interpreted as an element of the refined coweight lattice of the
gauge group. As a result, the spectrum of admissible matter representations is
strongly constrained and the gauge group is non-simply connected. We exemplify
our results by a detailed analysis of the general elliptic fibration with
Mordell-Weil group $\mathbb Z_2$ and $\mathbb Z_3$ as well as a further
specialization to $\mathbb Z \oplus \mathbb Z_2$. Our analysis exploits the
representation of these fibrations as hypersurfaces in toric geometry.Comment: 42 pages, 10 figures; v2: references adde
Indefinite theta functions for counting attractor backgrounds

In this note, we employ indefinite theta functions to regularize canonical partition functions for single-center dyonic BPS black holes. These partition functions count dyonic degeneracies in the Hilbert space of four-dimensional toroidally compactified heterotic string theory, graded by electric and magnetic charges. The regularization is achieved by viewing the weighted sums of degeneracies as sums over charge excitations in the near-horizon attractor geometry of an arbitrarily chosen black hole background, and eliminating the unstable modes. This enables us to rewrite these sums in terms of indefinite theta functions. Background independence is then implemented by using the transformation property of indefinite theta functions under elliptic transformations, while modular transformations are used to make contact with semi-classical results in supergravity
Non-perturbative constraints on light sparticles from properties of the RG flow

We study certain small supersymmetry-breaking perturbations of a large class of strongly coupled four-dimensional R -symmetric renormalization group (RG) flows between superconformal field theories in the ultraviolet (UV) and the infrared (IR). We analyze the conditions under which these perturbations scale to zero at leading order in the deep IR, resulting in accidental supersymmetry. Furthermore, we connect the emergence of IR supersymmetry in this context with a quantity that was recently conjectured to be larger at the UV starting points of the underlying supersymmetric flows than at the corresponding IR endpoints, and we propose a bound on emergent supersymmetry. Along the way, we prove a simple and useful non-perturbative theorem regarding the IR behavior of global flavor currents. Our results suggest general ways in which light stop particles can emerge and potentially influence physics at the Large Hadron Collider
String Field Theory Solution for Any Open String Background

We present an exact solution of open bosonic string field theory which can be
used to describe any time-independent open string background. The solution
generalizes an earlier construction of Kiermaier, Okawa, and Soler, and assumes
the existence of boundary condition changing operators with nonsingular OPEs
and vanishing conformal dimension. Our main observation is that boundary
condition changing operators of this kind can describe nearly any open string
background provided the background shift is accompanied by a timelike Wilson
line of sufficient strength. As an application we analyze the tachyon lump
describing the formation of a D$(p-1)$-brane in the string field theory of a
D$p$-brane, for generic compactification radius. This not only provides a proof
of Sen's second conjecture, but also gives explicit examples of higher energy
solutions, confirming analytically that string field theory can "reverse" the
direction of the worldsheet RG flow. We also find multiple D-brane solutions,
demonstrating that string field theory can add Chan-Paton factors and change
the rank of the gauge group. Finally, we show how the solution provides a
remarkably simple and nonperturbative proof of the background independence of
open bosonic string field theory.Comment: V2: 42 pages, 11 figures, typos correcte
The massive fermion phase for the U(N) Chern-Simons gauge theory in D=3 at large N

We explore the phase structure of fermions in the U(N) Chern-Simons Gauge theory in three dimensions using the large N limit where N is the number of colors and the fermions are taken to be in the fundamental representation of the U(N) gauge group. In the large N limit, the theory retains its classical conformal behavior and considerable attention has been paid to possible AdS/CFT dualities of the theory in the conformal phase. In this paper we present a solution for the massive phase of the fermion theory that is exact to the leading order of ‘t Hooft’s large N expansion. We present evidence for the spontaneous breaking of the exact scale symmetry and analyze the properties of the dilaton that appears as the Goldstone boson of scale symmetry breaking
CP violation with a dynamical Higgs

We determine the complete set of independent gauge and gauge-Higgs CP-odd
effective operators for the generic case of a dynamical Higgs, up to four
derivatives in the chiral expansion. The relation with the linear basis of
dimension six CP-odd operators is clarified. Phenomenological applications
include bounds inferred from electric dipole moment limits, and from present
and future collider data on triple gauge coupling measurements and Higgs
signals.Comment: 41 pages, 3 figures; V2: citations added, typos corrected, version
  published on JHE
Relic density computations at NLO: infrared finiteness and thermal correction

There is an increasing interest in accurate dark matter relic density predictions, which requires next-to-leading order (NLO) calculations. The method applied up to now uses zero-temperature NLO calculations of annihilation cross sections in the standard Boltzmann equation for freeze-out, and is conceptually problematic, since it ignores the finite-temperature infrared (IR) divergences from soft and collinear radiation and virtual effects. We address this problem systematically by starting from non-equilibrium quantum field theory, and demonstrate on a realistic model that soft and collinear temperature-dependent divergences cancel in the collision term. Our analysis provides justification for the use of the freeze-out equation in its conventional form and determines the leading finite-temperature correction to the annihilation cross section. This turns out to have a remarkably simple structure
Higgs couplings and Naturalness in the littlest Higgs model with
  T-parity at the LHC and TLEP

Motivated by the recent LHC Higgs data and null results in searches for any
new physics, we investigate the Higgs couplings and naturalness in the littlest
Higgs model with T-parity. By performing the global fit of the latest Higgs
data, electroweak precise observables and $R_{b}$ measurements, we find that
the scale $f$ can be excluded up to 600 GeV at $2\sigma$ confidence level. The
expected Higgs coupling measurements at the future collider TLEP will improve
this lower limit to above 3 TeV. Besides, the top parnter mass $m_{T_{+}}$ can
be excluded up to 880 GeV at $2\sigma$ confidence level. The future HL-LHC can
constrain this mass in the region $m_{T_{+}} < 2.2$ TeV corresponding to the
fine-tuning being lager than 1%.Comment: published version (to appear in JHEP
Renormalization group, secular term resummation and AdS (in)stability

We revisit the issues of non-linear AdS stability, its relation to growing
(secular) terms in naive perturbation theory around the AdS background, and the
need and possible strategies for resumming such terms. To this end, we review a
powerful and elegant resummation method, which is mathematically identical to
the standard renormalization group treatment of ultraviolet divergences in
perturbative quantum field theory. We apply this method to non-linear
gravitational perturbation theory in the AdS background at first non-trivial
order and display the detailed structure of the emerging renormalization flow
equations. We prove, in particular, that a majority of secular terms (and the
corresponding terms in the renormalization flow equations) that could be
present on general grounds given the spectrum of frequencies of linear AdS
perturbations, do not in fact arise.Comment: v2: 32 pages, substantial comments added, references added, minor
  typos correcte
Spinning strings and minimal surfaces in $AdS_3$ with mixed 3-form
  fluxes

Motivated by the recent proposal for the S-matrix in $AdS_3\times S^3$ with
mixed three form fluxes, we study classical folded string spinning in $AdS_3$
with both Ramond and Neveu-Schwarz three form fluxes. We solve the equations of
motion of these strings and obtain their dispersion relation to the leading
order in the Neveu-Schwarz flux $b$. We show that dispersion relation for the
spinning strings with large spin ${\cal S}$ acquires a term given by
$-\frac{\sqrt{\lambda}}{2\pi} b^2\log^2 {\cal S}$ in addition to the usual
$\frac{\sqrt\lambda}{\pi} \log {\cal S}$ term where $\sqrt{\lambda}$ is
proportional to the square of the radius of $AdS_3$. Using SO(2,2)
transformations and re-parmetrizations we show that these spinning strings can
be related to light like Wilson loops in $AdS_3$ with Neveu-Schwarz flux $b$.
We observe that the logarithmic divergence in the area of the light like Wilson
loop is also deformed by precisely the same coefficient of the $ b^2 \log^2
{\cal S}$ term in the dispersion relation of the spinning string. This result
indicates that the coefficient of $ b^2 \log^2 {\cal S}$ has a property similar
to the coefficient of the $\log {\cal S}$ term, known as cusp-anomalous
dimension, and can possibly be determined to all orders in the coupling
$\lambda$ using the recent proposal for the S-matrix.Comment: 34 pages, Accepted for publication in JHE
Particle-vortex and Maxwell duality in the AdS 4 × ℂ ℙ 3 /ABJM correspondence

We revisit the notion of particle-vortex duality in abelian theories of complex scalar fields coupled to gauge fields, formulating the duality as a transformation at the level of the path integral. This transformation is then made symmetric and cast as a self-duality that maps the original theory into itself with the role of particles and vortices interchanged. After defining the transformation for a pure Chern-Simons gauge theory, we show how to embed it into (a sector of) the (2 + 1)-dimensional ABJM model, and argue that this duality can be understood as being related to 4-dimensional Maxwell duality in the AdS 4  ×  ℂ ℙ 3 bulk
Constraining the flavor changing Higgs couplings to the top-quark at the
  LHC

We study the flavor-changing couplings of the Higgs-boson with the top-quark
using the processes: (a) pp --> tt, (b) pp --> t_bar j, and, (c) pp --> t_bar j
h at the LHC in light of current discovery of a 126 GeV Higgs-Boson.
Sensitivities for the flavor-changing couplings are estimated using the LHC
data that was collected until spring 2013. It is found that the process (c) is
the most capable of yielding the best upper bound on the flavor-changing
couplings with 2 sigma level sensitivities of {|xi_{tc}^2 + xi_{tu}^2|}^{1/2}
<= 4.2 x 10^{-3} and <= 1.7 x 10^{-3} resulting from t --> b l nu_l, h --> jj
with the 7 TeV and 8 TeV centre-of-mass energies respectively using existing
data from the LHC. The corresponding bounds from h --> b b_bar are worse by a
factor of about 1.8.Comment: 19 Latex Pages, 2 Figures, 6 Tables, More SM backgrounds, corrected
  some typos and errors, added h->2j detection mode, further improvements and a
  new subsection on 14 TeV was added. More refs. were incorporate