pinecone/core-2020-05-10-deduplication huggingface dataset:
Wavefunctions on magnetized branes in the conifold

We study wavefunctions on D$7$-branes with magnetic fluxes in the conifold.
Since some supersymmetric embeddings of D-branes on the $AdS_5\times T^{1,1}$
geometry are known, we consider one of the embeddings, especially the spacetime
filling D$7$-branes in which (a part of) the standard model is expected to be
realized. The explicit form of induced metric on the D$7$-branes allows us to
solve the Laplace and Dirac equations to evaluate matter wavefunctions in extra
dimensions analytically. We find that the zero-mode wavefunctions can be
localized depending on the configuration of magnetic fluxes on D$7$-branes, and
show some phenomenological aspects.Comment: 38 pages, 2 figure
On the large $\Omega$-deformations in the Nekrasov-Shatashvili limit of
  $\mathcal N=2^{*}$ SYM

We study the multi-instanton partition functions of the $\Omega$-deformed
$\mathcal N =2^{*}$ $SU(2) $ gauge theory in the Nekrasov-Shatashvili (NS)
limit. They depend on the deformation parameters $\epsilon_{1}$, the scalar
field expectation value $a$, and the hypermultiplet mass $m$. At fixed
instanton number $k$, they are rational functions of $\epsilon_{1}, a, m$ and
we look for possible regularities that admit a parametrical description in the
number of instantons. In each instanton sector, the contribution to the
deformed Nekrasov prepotential has poles for "large" deformation parameters. To
clarify the properties of these singularities we exploit Bethe/gauge
correspondence and examine the special ratios $m/\epsilon_{1}$ at which the
associated spectral problem is $n$-gap. At these special points we illustrate
several structural simplifications occurring in the partition functions. After
discussing various tools to compute the prepotential, we analyze the
non-perturbative corrections up to $k=24$ instantons and present various closed
expressions for the coefficients of the singular terms. Both the regular and
singular parts of the prepotential are resummed over all instantons and
compared successfully with the exact prediction from the spectral theory of the
Lam\'e equation, showing that the pole singularities are an artifact of the
instanton expansion. The analysis is fully worked out in the 1-gap case, but
the final pole cancellation is proved for a generic ratio $m/\epsilon_{1}$
relating it to the gap width of the Lam\'e equation.Comment: 30 pages, v2: new appendix, extended acknowledgement
Pseudoscalar top-Higgs coupling: Exploration of $\mathrm{CP}$-odd
  observables to resolve the sign ambiguity

We present a collection of $\mathrm{CP}$-odd observables for the process
$pp\to t\,\left(\rightarrow b {\ell}^+ \nu_{\ell}\right)
\bar{t}\,\left(\rightarrow \bar{b} {\ell}^-{\bar{\nu}}_{\ell}\right)\,H$ that
are linearly dependent on the scalar ($\kappa_t$) and pseudoscalar
($\tilde{\kappa}_t$) top-Higgs coupling and hence sensitive to the
corresponding relative sign. The proposed observables are based on triple
product (TP) correlations that we extract from the expression for the
differential cross section in terms of the spin vectors of the top and antitop
quarks. In order to explore other possibilities, we progressively modify these
TPs, first by combining them, and then by replacing the spin vectors by the
lepton momenta or the $t$ and $\bar{t}$ momenta by their visible parts. We
generate Monte Carlo data sets for several benchmark scenarios, including the
Standard Model ($\kappa_t=1$, $\tilde{\kappa}_t=0$) and two scenarios with
mixed $\mathrm{CP}$ properties ($\kappa_t=1$, $\tilde{\kappa}_t=\pm 1$).
Assuming an integrated luminosity that is consistent with that envisioned for
the High Luminosity Large Hadron Collider, using Monte Carlo-truth and taking
into account only statistical uncertainties, we find that the most promising
observable can disentangle the "$\mathrm{CP}$-mixed" scenarios with an
effective separation of $\sim 19\sigma$. In the case of observables that do not
require the reconstruction of the $t$ and $\bar{t}$ momenta, the power of
discrimination is up to $\sim 13\sigma$ for the same number of events. We also
show that the most promising observables can still disentangle the
$\mathrm{CP}$-mixed scenarios when the number of events is reduced to values
consistent with expectations for the Large Hadron Collider in the near term.Comment: 28 pages, 7 figures. Published versio
Radial expansion for spinning conformal blocks

This paper develops a method to compute any bosonic conformal block as a
series expansion in the optimal radial coordinate introduced by Hogervorst and
Rychkov. The method reduces to the known result when the external operators are
all the same scalar operator, but it allows to compute conformal blocks for
external operators with spin. Moreover, we explain how to write closed form
recursion relations for the coefficients of the expansions. We study three
examples of four point functions in detail: one vector and three scalars; two
vectors and two scalars; two spin 2 tensors and two scalars. Finally, for the
case of two external vectors, we also provide a more efficient way to generate
the series expansion using the analytic structure of the blocks as a function
of the scaling dimension of the exchanged operator.Comment: 42 pages, 17 figures, 7 Mathematica files, v2: minor changes in the
  text, typos correcte
LHC Benchmarks from Flavored Gauge Mediation

We present benchmark points for LHC searches from flavored gauge mediation
models, in which messenger-matter couplings give flavor-dependent squark
masses. Our examples include spectra in which a single squark - stop, scharm,
or sup - is much lighter than all other colored superpartners, motivating
improved quark flavor tagging at the LHC. Many examples feature flavor mixing;
in particular, large stop-scharm mixing is possible. The correct Higgs mass is
obtained in some examples by virtue of the large stop A-term. We also revisit
the general flavor and CP structure of the models. Even though the A-terms can
be substantial, their contributions to EDM's are very suppressed, because of
the particular dependence of the A-terms on the messenger coupling. This holds
regardless of the messenger-coupling texture. More generally, the special
structure of the soft terms often leads to stronger suppression of flavor- and
CP-violating processes, compared to naive estimates.Comment: 32 pages, 11 figures. Updated to published versio
Scattering Equations, Twistor-string Formulas and Double-soft Limits in
  Four Dimensions

We study scattering equations and formulas for tree amplitudes of various
theories in four dimensions, in terms of spinor helicity variables and on-shell
superspace for supersymmetric theories. As originally obtained in Witten's
twistor string theory and other twistor-string models, the equations can take
either polynomial or rational forms, and we clarify the simple relation between
them. We present new, four-dimensional formulas for all tree amplitudes in the
non-linear sigma model, a special Galileon theory and the maximally
supersymmetric completion of the Dirac-Born-Infeld theory. Furthermore, we
apply the formulas to study various double-soft theorems in these theories,
including the emissions of a pair of soft photons, fermions and scalars for
super-amplitudes in super-DBI theory.Comment: 22 pages, 2 tables; v2: ref added, minor typos fixe
A Diphoton Resonance from Bulk RS

Recent LHC data hinted at a 750 GeV mass resonance that decays into two
photons. A significant feature of this resonance is that its decays to any
other Standard Model particles would be too low to be detected so far. Such a
state has a compelling explanation in terms of a scalar or a pseudoscalar that
is strongly coupled to vector states charged under the Standard Model gauge
groups. Such a scenario is readily accommodated in bulk RS with a scalar
localized in the bulk away from but close to the Higgs. Turning this around, we
argue that a good way to find the elusive bulk RS model might be the search for
a resonance with prominent couplings to gauge bosons.Comment: 14 pages, LaTeX, 7 figures. Discussion on suppression of decays to
  Higgses revised, typos fixe
Higher Spin Double Field Theory : A Proposal

We construct a double field theory coupled to the fields present in
Vasiliev's equations. Employing the "semi-covariant" differential geometry, we
spell a functional in which each term is completely covariant with respect to
$\mathbf{O}(4,4)$ T-duality, doubled diffeomorphisms, $\mathbf{Spin}(1,3)$
local Lorentz symmetry and, separately, $\mathbf{HS}(4)$ higher spin gauge
symmetry. We identify a minimal set of BPS-like conditions whose solutions
automatically satisfy the full Euler-Lagrange equations. As such a solution, we
derive a linear dilaton vacuum. With extra algebraic constraints further
supplemented, the BPS-like conditions reduce to the bosonic Vasiliev equations.Comment: 1+52 pages. v3) Eq.(2.57) added. To appear in JHE
Diphoton Excess through Dark Mediators

Preliminary ATLAS and CMS results from the first 13 TeV LHC run have
encountered an intriguing excess of events in the diphoton channel around the
invariant mass of 750 GeV. We investigate a possibility that the current excess
is due to a heavy resonance decaying to light metastable states, which in turn
give displaced decays to very highly collimated $e^+e^-$ pairs. Such decays may
pass the photon selection criteria, and successfully mimic the diphoton events,
especially at low counts. We investigate two classes of such models,
characterized by the following underlying production and decay chains: $gg \to
S\to A'A'\to (e^+e^-)(e^+e^-)$ and $q\bar q \to Z' \to sa\to (e^+e^-)(e^+e^-)$,
where at the first step a heavy scalar, $S$, or vector, $Z'$, resonances are
produced that decay to light metastable vectors, $A'$, or (pseudo-)scalars, $s$
and $a$. Setting the parameters of the models to explain the existing excess,
and taking the ATLAS detector geometry into account, we marginalize over the
properties of heavy resonances in order to derive the expected lifetimes and
couplings of metastable light resonances. We observe that in the case of $A'$,
the suggested range of masses and mixing angles $\epsilon$ is within reach of
several new-generation intensity frontier experiments.Comment: 38 pages, 7 figures, 2 tables, references adde
Factorization for groomed jet substructure beyond the next-to-leading
  logarithm

Jet grooming algorithms are widely used in experimental analyses at hadron
colliders to remove contaminating radiation from within jets. While the
algorithms perform a great service to the experiments, their intricate
algorithmic structure and multiple parameters has frustrated precision
theoretic understanding. In this paper, we demonstrate that one particular
groomer called soft drop actually makes precision jet substructure easier. In
particular, we derive a factorization formula for a large class of soft drop
jet substructure observables, including jet mass. The essential observation
that allows for this factorization is that, without the soft wide-angle
radiation groomed by soft drop, all singular contributions are collinear. The
simplicity and universality of the collinear limit in QCD allows us to show
that to all orders, the normalized differential cross section has no
contributions from non-global logarithms. It is also independent of process, up
to the relative fraction of quark and gluon jets. In fact, soft drop allows us
to define this fraction precisely. The factorization theorem also explains why
soft drop observables are less sensitive to hadronization than their ungroomed
counterparts. Using the factorization theorem, we resum the soft drop jet mass
to next-to-next-to-leading logarithmic accuracy. This requires calculating some
clustering effects that are closely related to corresponding effects found in
jet veto calculations. We match our resummed calculation to fixed order results
for both $e^+e^-\to$ dijets and $pp\to Z+j$ events, producing the first jet
substructure predictions (groomed or ungroomed) to this accuracy for the LHC.Comment: 43 pages + appendices, 13 figures. v2: JHEP version, fixed minor
  typo
On the Membrane Paradigm and Spontaneous Breaking of Horizon BMS
  Symmetries

We consider a BMS-type symmetry action on isolated horizons in asymptotically
flat spacetimes. From the viewpoint of the non-relativistic field theory on a
horizon membrane, supertranslations shift the field theory spatial momentum.
The latter is related by a Ward identity to the particle number symmetry
current and is spontaneously broken. The corresponding Goldstone boson shifts
the horizon angular momentum and can be detected quantum mechanically.
Similarly, area preserving superrotations are spontaneously broken on the
horizon membrane and we identify the corresponding gapless modes. In
asymptotically AdS spacetimes we study the BMS-type symmetry action on the
horizon in a holographic superfluid dual. We identify the horizon
supertranslation Goldstone boson as the holographic superfluid Goldstone mode.Comment: 17 pages; v2: added references, fixed typo
Exact partition functions for the $\Omega$-deformed $\mathcal N=2^{*}$
  $SU(2)$ gauge theory

We study the low energy effective action of the $\Omega$-deformed $\mathcal N
=2^{*}$ $SU(2) $ gauge theory. It depends on the deformation parameters
$\epsilon_{1},\epsilon_{2}$, the scalar field expectation value $a$, and the
hypermultiplet mass $m$. We explore the plane $(\frac{m}{\epsilon_{1}},
\frac{\epsilon_{2}}{\epsilon_{1}})$ looking for special features in the
multi-instanton contributions to the prepotential, motivated by what happens in
the Nekrasov-Shatashvili limit $\epsilon_{2}\to 0$. We propose a simple
condition on the structure of poles of the $k$-instanton prepotential and show
that it is admissible at a finite set of points in the above plane. At these
special points, the prepotential has poles at fixed positions independent on
the instanton number. Besides and remarkably, both the instanton partition
function and the full prepotential, including the perturbative contribution,
may be given in closed form as functions of the scalar expectation value $a$
and the modular parameter $q$ appearing in special combinations of Eisenstein
series and Dedekind $\eta$ function. As a byproduct, the modular anomaly
equation can be tested at all orders at these points. We discuss these special
features from the point of view of the AGT correspondence and provide explicit
toroidal 1-blocks in non-trivial closed form. The full list of solutions with
1, 2, 3, and 4 poles is determined and described in details.Comment: 25 pages, one pdf figure. v2: references adde
Drell-Yan production of multi Z'-bosons at the LHC within Non-Universal
  ED and 4D Composite Higgs Models

The Drell-Yan di-lepton production at hadron colliders is by far the
preferred channel to search for new heavy spin-1 particles. Traditionally, such
searches have exploited the Narrow Width Approximation (NWA) for the signal,
thereby neglecting the effect of the interference between the additional
Z'-bosons and the Standard Model Z and {\gamma}. Recently, it has been
established that both finite width and interference effects can be dealt with
in experimental searches while still retaining the model independent approach
ensured by the NWA. This assessment has been made for the case of popular
single Z'-boson models currently probed at the CERN Large Hadron Collider
(LHC). In this paper, we test the scope of the CERN machine in relation to the
above issues for some benchmark multi Z'-boson models. In particular, we
consider Non-Universal Extra Dimensional (NUED) scenarios and the 4-Dimensional
Composite Higgs Model (4DCHM), both predicting a multi-Z' peaking structure. We
conclude that in a variety of cases, specifically those in which the leptonic
decays modes of one or more of the heavy neutral gauge bosons are suppressed
and/or significant interference effects exist between these or with the
background, especially present when their decay widths are significant,
traditional search approaches based on the assumption of rather narrow and
isolated objects might require suitable modifications to extract the underlying
dynamics
Jet-Images -- Deep Learning Edition

Building on the notion of a particle physics detector as a camera and the
collimated streams of high energy particles, or jets, it measures as an image,
we investigate the potential of machine learning techniques based on deep
learning architectures to identify highly boosted W bosons. Modern deep
learning algorithms trained on jet images can out-perform standard
physically-motivated feature driven approaches to jet tagging. We develop
techniques for visualizing how these features are learned by the network and
what additional information is used to improve performance. This interplay
between physically-motivated feature driven tools and supervised learning
algorithms is general and can be used to significantly increase the sensitivity
to discover new particles and new forces, and gain a deeper understanding of
the physics within jets.Comment: 32 pages, 24 figures. Version that is published in JHE
On Elliptic String Solutions in AdS(3) and dS(3)

Classical string actions in AdS(3) and dS(3) can be connected to the
sinh-Gordon and cosh-Gordon equations through Pohlmeyer reduction. We show that
the problem of constructing a classical string solution with a given static or
translationally invariant Pohlmeyer counterpart is equivalent to solving four
pairs of effective Schrodinger problems. Each pair consists of a flat potential
and an n = 1 Lame potential whose eigenvalues are connected, and, additionally,
the four solutions satisfy a set of constraints. An approach for solving this
system is developed by employing an interesting connection between the specific
class of classical string solutions and the band structure of the Lame
potential. This method is used for the construction of several families of
classical string solutions, one of which turns out to be the spiky strings in
AdS(3). New solutions include circular rotating strings in AdS(3) with singular
time evolution of their radius and angular velocity as well as classical string
solutions in dS(3).Comment: 60 pages, 13 figures, v2: version to appear in JHEP after minor
  correction
Semiclassical framed BPS states

We provide a semiclassical description of framed BPS states in
four-dimensional N = 2 super Yang-Mills theories probed by 't Hooft defects, in
terms of a supersymmetric quantum mechanics on the moduli space of singular
monopoles. Framed BPS states, like their ordinary counterparts in the theory
without defects, are associated with the L^2 kernel of certain Dirac operators
on moduli space, or equivalently with the L^2 cohomology of related Dolbeault
operators. The Dirac/Dolbeault operators depend on two Cartan-valued Higgs
vevs. We conjecture a map between these vevs and the Seiberg-Witten special
coordinates, consistent with a one-loop analysis and checked in examples. The
map incorporates all perturbative and nonperturbative corrections that are
relevant for the semiclassical construction of BPS states, over a suitably
defined weak coupling regime of the Coulomb branch. We use this map to
translate wall crossing formulae and the no-exotics theorem to statements about
the Dirac/Dolbeault operators. The no-exotics theorem, concerning the absence
of nontrivial SU(2)_R representations in the BPS spectrum, implies that the
kernel of the Dirac operator is chiral, and further translates into a statement
that all L^2 cohomology of the Dolbeault operator is concentrated in the middle
degree. Wall crossing formulae lead to detailed predictions for where the Dirac
operators fail to be Fredholm and how their kernels jump. We explore these
predictions in nontrivial examples. This paper explains the background and
arguments behind the results announced in a short accompanying note.Comment: v1: 161+78 pages, 5 figures; v2: typos correcte
Exploring holographic Composite Higgs models

Simple Composite Higgs models predict new vector-like fermions not too far
from the electroweak scale, yet LHC limits are now sensitive to the TeV scale.
Motivated by this tension, we explore the holographic dual of the minimal
model, MCHM5, to understand how far naive 4D predictions are from their 5D
duals. Interestingly, we find that the usual hierarchy among the vector-like
quarks is not generic, hence ameliorating the tuning issue. We find that
lowering the UV cutoff in the 5D picture allows for heavier top partners, while
keeping the mass of the Higgs boson at its observed value. In the 4D dual this
corresponds to increasing the number of colours. This is essentially a Little
Randall-Sundrum Model, which are known to reduce some flavour and electroweak
constraints. Furthermore, in anticipation of the ongoing efforts at the LHC to
put bounds on the top Yukawa, we demonstrate that deviations from the SM can be
suppressed or enhanced with respect to what is expected from mere symmetry
arguments in 4D. We conclude that the 5D holographic realisation of the MCHM5
with a small UV cutoff is not in tension with the current experimental data.Comment: In v.2 we edited the plot in the last section and added some
  discussio
Gauge cooling for the singular-drift problem in the complex Langevin
  method --a test in Random Matrix Theory for finite density QCD

Recently, the complex Langevin method has been applied successfully to finite
density QCD either in the deconfinement phase or in the heavy dense limit with
the aid of a new technique called the gauge cooling. In the confinement phase
with light quarks, however, convergence to wrong limits occurs due to the
singularity in the drift term caused by small eigenvalues of the Dirac operator
including the mass term. We propose that this singular-drift problem should
also be overcome by the gauge cooling with different criteria for choosing the
complexified gauge transformation. The idea is tested in chiral Random Matrix
Theory for finite density QCD, where exact results are reproduced at zero
temperature with light quarks. It is shown that the gauge cooling indeed
changes drastically the eigenvalue distribution of the Dirac operator measured
during the Langevin process. Despite its non-holomorphic nature, this
eigenvalue distribution has a universal diverging behavior at the origin in the
chiral limit due to a generalized Banks-Casher relation as we confirm
explicitly.Comment: 20 pages, 4 figures. One reference is added in version
Viscosity bound violation in holographic solids and the viscoelastic
  response

We argue that the Kovtun--Son--Starinets (KSS) lower bound on the viscosity
to entropy density ratio holds in fluid systems but is violated in solid
materials with a non-zero shear elastic modulus. We construct explicit examples
of this by applying the standard gauge/gravity duality methods to massive
gravity and show that the KSS bound is clearly violated in black brane
solutions whenever the massive gravity theories are of solid type. We argue
that the physical reason for the bound violation relies on the viscoelastic
nature of the mechanical response in these materials. We speculate on whether
any real-world materials can violate the bound and discuss a possible
generalization of the bound that involves the ratio of the shear elastic
modulus to the pressure.Comment: typo in the conclusions correcte