pinecone/core-2020-05-10-deduplication huggingface dataset:
Chaos in Classical D0-Brane Mechanics

We study chaos in the classical limit of the matrix quantum mechanical system
describing D0-brane dynamics. We determine a precise value of the largest
Lyapunov exponent, and, with less precision, calculate the entire spectrum of
Lyapunov exponents. We verify that these approach a smooth limit as $N
\rightarrow \infty$. We show that a classical analog of scrambling occurs with
fast scrambling scaling, $t_* \sim \log S$. These results confirm the
k-locality property of matrix mechanics discussed by Sekino and Susskind.Comment: 43 pages, 12 figures. v2: reference adde
Bosonization approach for "atomic collapse" in graphene

We study quantum electrodynamics with 2+1 dimensional massless Dirac fermion
around a Coulomb impurity. Around a large charge with atomic number Z > 137,
the QED vacuum is expected to collapse due to the strong Coulombic force. While
the relativistic quantum mechanics fails to make reliable predictions for the
fate of the vacuum, the heavy ion collision experiment also does not give clear
understanding of this system. Recently, the "atomic collapse" resonances were
observed on graphene where an artificial nuclei can be made. In this paper, we
present our nonperturbative study of the vacuum structure of the quasiparticles
in graphene with a charge impurity which contains multi-body effect using
bosonization method.Comment: 18 pages, 7 figure
Baryons, monopoles and dualities in Chern-Simons-matter theories

There is significant evidence for a duality between (non-supersymmetric) U(N)
Chern-Simons theories at level k coupled to fermions, and U(k) Chern-Simons
theories at level N coupled to scalars. Most of the evidence comes from the
large N 't Hooft limit, where many details of the duality (such as whether the
gauge group is U(N) or SU(N), the precise level of the U(1) factor, and order
one shifts in the level) are not important. The main evidence for the validity
of the duality at finite N comes from adding masses and flowing to pure
Chern-Simons theories related by level-rank duality, and from flowing to the
non-supersymmetric duality from supersymmetric dualities, whose finite N
validity is well-established. In this note we clarify the implications of these
flows for the precise form of the duality; in particular we argue that in its
simplest form the duality maps SU(N) theories to U(k) theories, though there is
also another version relating U(N) to U(k). This precise form strongly affects
the mapping under the duality of baryon and monopole operators, and we show,
following arguments by Radicevic, that their mapping is consistent with our
claims. We also discuss the implications of our results for the additional
duality between these Chern-Simons matter theories and (the UV completion of)
high-spin gravity theories on AdS_4. The latter theories should contain heavy
particles carrying electric and/or magnetic charges under their U(1) gauge
symmetry.Comment: 15 page
Top-Yukawa effects on the $\beta$-function of the strong coupling in the
  SM at four-loop level

We present analytical results for the QCD $\beta$-function extended to the
gaugeless limit of the unbroken phase of the Standard Model at four-loop level.
Apart from the strong coupling itself we include the top-Yukawa contribution
and the Higgs self-coupling. We observe a non-naive $\gamma_5$ contribution at
order $y_t^4 g_s^4$, a feature not encountered in lower loop orders.Comment: v2: more sophisticated treatment and more detailed description of the
  non-naive \gamma_5 contribution; Ref. added. v3: this the version published
  in JHEP; references [49,50] fixed; v4: changed statement on p.8: a different
  gamma_5 treatment only leads to a factor 3, not a factor 6 in the non-naive
  part compared to the prescription used in this paper. Note added on recent
  developments (p. 12
Discovery Prospects of a Light Scalar in the NMSSM

We study a region in the NMSSM parameter space in which the mass of the
SM-like Higgs boson is uplifted by ~4-17 GeV, allowing for stop masses and
|A_t| <= 1 TeV alleviating the little fine tuning problem of the MSSM. An
uplift of the mass of the SM-like Higgs boson is possible in two distinct
regions in the NMSSM parameter space: Either for large lambda and small
tan(beta) or, through singlet-doublet mixing, for small lambda and large
tan(beta). For a mostly singlet-like Higgs state H_S with a mass below 125 GeV
we investigate possible direct or indirect search channels at the run II of the
LHC as function of the NMSSM-specific uplift of the mass of the SM-like Higgs
boson: Direct production of H_S in gluon fusion with H_S decaying into
diphotons, modified reduced couplings of the SM-like Higgs state, and the
possible production of H_S in ggF -> A -> Z + H_S. We find that the region
featuring singlet-doublet mixing can be tested if searches at the LHC at 13 TeV
for BSM Higgs bosons in the mass range 88 - 102 GeV decaying into diphotons
become sensitive to signal cross sections sigma(gg -> H_S -> diphotons) ~ 20
fb, or if measurements of the reduced coupling kappa_V(H_{SM}) of the SM Higgs
boson to electroweak gauge boson exclude (or confirm) the region
kappa_V(H_{SM}) <~ 0.93.Comment: 20 pages, 16 Figs., reference added, LPT Orsay 15-9
Muon $g-2$ in the Aligned Two Higgs Doublet Model

We study the Two-Higgs-Doublet Model with the aligned Yukawa sector (A2HDM)
in light of the observed excess measured in the muon anomalous magnetic moment.
We take into account the existing theoretical and experimental constraints with
up-to-date values and demonstrate that a phenomenologically interesting region
of parameter space exists. With a detailed parameter scan, we show a much
larger region of viable parameter space in this model beyond the limiting case
Type X 2HDM as obtained before. It features the existence of light scalar
states with masses $3$ GeV $\lesssim m_H^{} \lesssim 50$ GeV, or $\ 10$ GeV
$\lesssim m_A^{} \lesssim 130$ GeV, with enhanced couplings to tau leptons. The
charged Higgs boson is typically heavier, with $200$ GeV $ \lesssim m^{}_{H^+}
\lesssim 630$ GeV. The surviving parameter space is forced into the
CP-conserving limit by EDM constraints. Some Standard Model observables may be
significantly modified, including a possible new decay mode of the SM-like
Higgs boson to four taus. We comment on future measurements and direct searches
for those effects at the LHC as tests of the model
Decomposing Nekrasov Decomposition

AGT relations imply that the four-point conformal block admits a
decomposition into a sum over pairs of Young diagrams of essentially rational
Nekrasov functions - this is immediately seen when conformal block is
represented in the form of a matrix model. However, the q-deformation of the
same block has a deeper decomposition - into a sum over a quadruple of Young
diagrams of a product of four topological vertices. We analyze the interplay
between these two decompositions, their properties and their generalization to
multi-point conformal blocks. In the latter case we explain how Dotsenko-Fateev
all-with-all (star) pair "interaction" is reduced to the quiver model
nearest-neighbor (chain) one. We give new identities for q-Selberg averages of
pairs of generalized Macdonald polynomials. We also translate the slicing
invariance of refined topological strings into the language of conformal blocks
and interpret it as abelianization of generalized Macdonald polynomials.Comment: 29 pages, 7 figure
Supersymmetric solutions to Euclidean Romans supergravity

We study Euclidean Romans supergravity in six dimensions with a non-trivial
Abelian R-symmetry gauge field. We show that supersymmetric solutions are in
one-to-one correspondence with solutions to a set of differential constraints
on an SU(2) structure. As an application of our results we (i) show that this
structure reduces at a conformal boundary to the five-dimensional rigid
supersymmetric geometry previously studied by the authors, (ii) find a general
expression for the holographic dual of the VEV of a BPS Wilson loop, matching
an exact field theory computation, (iii) construct holographic duals to
squashed Sasaki-Einstein backgrounds, again matching to a field theory
computation, and (iv) find new analytic solutions.Comment: 31 pages; v2: published version (with reference added
Flavour Fields in Steady State: Stress Tensor and Free Energy

The dynamics of a probe brane in a given gravitational background is governed
by the Dirac-Born-Infeld action. The corresponding open string metric arises
naturally in studying the fluctuations on the probe. In Gauge-String duality,
it is known that in the presence of a constant electric field on the
worldvolume of the probe, the open string metric acquires an event horizon and
therefore the fluctuation modes on the probe experience an effective
temperature. In this article, we bring together various properties of such a
system to a formal definition and a subsequent narration of the effective
thermodynamics and the stress tensor of the corresponding flavour fields, also
including a non-vanishing chemical potential. In doing so, we point out a
potentially infinitely-degenerate scheme-dependence of regularizing the free
energy, which nevertheless yields a universal contribution in certain cases.
This universal piece appears as the coefficient of a log-divergence in free
energy when a space-filling probe brane is embedded in AdS$_{d+1}$-background,
for $d=2, 4$, and is related to conformal anomaly. For the special case of
$d=2$, the universal factor has a striking resemblance to the well-known heat
current formula in $(1+1)$-dimensional conformal field theory in steady-state,
which endows a plausible physical interpretation to it. Interestingly, we
observe a vanishing conformal anomaly in $d=6$.Comment: 30 pages, one appendi
Chern Simons Bosonization along RG Flows

It has previously been conjectured that the theory of free fundamental
scalars minimally coupled to a Chern Simons gauge field is dual to the theory
of critical fundamental fermions minimally coupled to a level rank dual Chern
Simons gauge field. In this paper we study RG flows away from these two fixed
points by turning on relevant operators. In the t' Hooft large N limit we
compute the thermal partition along each of these flows and find a map of
parameters under which the two partition functions agree exactly with each
other all the way from the UV to the IR. We conjecture that the bosonic and
fermionic RG flows are dual to each other under this map of parameters. Our
flows can be tuned to end at the gauged critical scalar theory and gauged free
fermionic theories respectively. Assuming the validity of our conjecture, this
tuned trajectory may be viewed as RG flow from the gauged theory of free bosons
to the gauged theory of free fermions.Comment: 21 pages, v2: new subsection 3.3 added, typos corrected, version
  accepted in JHE
Precision calculation of 1/4-BPS Wilson loops in AdS$_5\times S^5$

We study the strong coupling behaviour of $1/4$-BPS circular Wilson loops (a
family of "latitudes") in ${\cal N}=4$ Super Yang-Mills theory, computing the
one-loop corrections to the relevant classical string solutions in
AdS$_5\times$S$^5$. Supersymmetric localization provides an exact result that,
in the large 't Hooft coupling limit, should be reproduced by the sigma-model
approach. To avoid ambiguities due to the absolute normalization of the string
partition function, we compare the $ratio$ between the generic latitude and the
maximal 1/2-BPS circle: Any measure-related ambiguity should simply cancel in
this way. We use Gel'fand-Yaglom method to calculate the relevant functional
determinants, that present some complications with respect to the standard
circular case. After a careful numerical evaluation of our final expression we
still find disagreement with the localization answer: The difference is encoded
into a precise "remainder function". We comment on the possible origin and
resolution of this discordance.Comment: References added, comments in introduction and conclusions added, it
  matches published versio
Coulomb Branch Localization in Quiver Quantum Mechanics

We show how to exactly calculate the refined indices of N=4 U(1) times U(N)
supersymmetric quiver quantum mechanics in the Coulomb branch by using the
localization technique. The Coulomb branch localization is discussed from the
viewpoint of both non-linear and gauged linear sigma models. A classification
of fixed points in the Coulomb branch differs from one in the Higgs branch, but
the derived indices completely agree with the results which were obtained by
the localization in the Higgs branch. In the Coulomb branch localization, the
refined indices can be written as a summation over different sets of the
Coulomb branch fixed points. We also discuss a space-time picture of the fixed
points in the Coulomb branch.Comment: 36 pages, 2 figures; v2: minor corrections and typos correcte
Effective Field Theory and Electroweak Baryogenesis in the
  Singlet-Extended Standard Model

Electroweak baryogenesis is a simple and attractive candidate mechanism for
generating the observed baryon asymmetry in the Universe. Its viability is
sometimes investigated in terms of an effective field theory of the Standard
Model involving higher dimension operators. We investigate the validity of such
an effective field theory approach to the problem of identifying electroweak
phase transitions strong enough for electroweak baryogenesis to be successful.
We identify and discuss some pitfalls of this approach due to the modest
hierarchy between mass scales of heavy degrees or freedom and the Higgs, and
the possibility of dimensionful couplings violating the decoupling between
light and heavy degrees of freedom.Comment: 18 pages + App. 17 figures. v2, References adde
Leptogenesis in $E_6 \times U(1)_A$ SUSY GUT model

We study the thermal leptogenesis in the $E_6\times U(1)_A$ SUSY GUT model in
which realistic masses and mixings of quarks and leptons can be realized. We
show that the sufficient baryon number can be produced by the leptogenesis in
the model, in which the mass parameter of the lightest right-handed neutrino is
predicted to be smaller than $10^8$ GeV. The essential point is that the mass
of the lightest right-handed neutrino can be enhanced in the model because it
has a lot of mass terms whose mass parameters are predicted to be the same
order of magnitude which is smaller than $10^8$ GeV. We show that O(10)
enhancement for the lightest right-handed neutrino mass is sufficient for the
observed baryon asymmetry. Note that such mass enhancements do not change the
predictions of neutrino masses and mixings at the low energy scale in the $E_6$
model which has six right-handed neutrinos. In the calculation, we include the
effects of supersymmetry and flavor in final states of the right-handed
neutrino decay. We show that the effect of supersymmetry is quite important
even in the strong washout regime when the effect of flavor is included. This
is because the washout effects on the asymmetries both of the muon and the
electron become weaker than that of the tau asymmetry.Comment: 27 pages, 7 figure
Discovery Potential of T2K and NOvA in the Presence of a Light Sterile
  Neutrino

We study the impact of one light sterile neutrino on the prospective data
expected to come from the two presently running long-baseline experiments T2K
and NOvA when they will accumulate their full planned exposure. Introducing for
the first time, the bi-probability representation in the 4-flavor framework,
commonly used in the 3-flavor scenario, we present a detailed discussion of the
behavior of the numu to nue and numubar to nuebar transition probabilities in
the 3+1 scheme. We also perform a detailed sensitivity study of these two
experiments (both in the stand-alone and combined modes) to assess their
discovery reach in the presence of a light sterile neutrino. For realistic
benchmark values of the mass-mixing parameters (as inferred from the existing
global short-baseline fits), we find that the performance of both these
experiments in claiming the discovery of the CP-violation induced by the
standard CP-phase delta13 equivalent to delta, and the neutrino mass hierarchy
get substantially deteriorated. The exact loss of sensitivity depends on the
value of the unknown CP-phase delta14. Finally, we estimate the discovery
potential of total CP-violation (i.e., induced simultaneously by the two
CP-phases delta13 and delta14), and the capability of the two experiments of
reconstructing the true values of such CP-phases. The typical (1 sigma level)
uncertainties on the reconstructed phases are approximately 40 degree for
delta13 and 50 degree for delta14.Comment: 36 pages, 42 pdf figures, 2 tables. Few references added. Accepted in
  JHE
Solid Holography and Massive Gravity

Momentum dissipation is an important ingredient in condensed matter physics
that requires a translation breaking sector. In the bottom-up gauge/gravity
duality, this implies that the gravity dual is massive. We start here a
systematic analysis of holographic massive gravity (HMG) theories, which admit
field theory dual interpretations and which, therefore, might store interesting
condensed matter applications. We show that there are many phases of HMG that
are fully consistent effective field theories and which have been left
overlooked in the literature. The most important distinction between the
different HMG phases is that they can be clearly separated into solids and
fluids. This can be done both at the level of the unbroken spacetime symmetries
as well as concerning the elastic properties of the dual materials. We extract
the modulus of rigidity of the solid HMG black brane solutions and show how it
relates to the graviton mass term. We also consider the implications of the
different HMGs on the electric response. We show that the types of response
that can be consistently described within this framework is much wider than
what is captured by the narrow class of models mostly considered so far.Comment: 43 pages, 4 figure
Revisiting N=4 superconformal blocks

We study four-point correlation functions of four generic half-BPS
supermultiplets of N=4 SCFT in four dimensions. We use the two-particle Casimir
of four-dimensional superconformal algebra to derive superconformal blocks
which contribute to the partial wave expansion of such correlators. The derived
blocks are defined on analytic superspace and allow us in principle to find any
component of the four-point correlator. The lowest component of the result
agrees with the superconformal blocks found by Dolan and Osborn.Comment: 21 pages; v2: version published in JHE
Non-equilibrium condensation process in holographic superconductor with
  nonlinear electrodynamics

We study the non-equilibrium condensation process in a holographic
superconductor with nonlinear corrections to the U(1) gauge field. We start
with an asymptotic Anti-de-Sitter(AdS) black hole against a complex scalar
perturbation at the initial time, and solve the dynamics of the gravitational
systems in the bulk. When the black hole temperature T is smaller than a
critical value Tc, the scalar perturbation grows exponentially till saturation,
the final state of spacetime approaches to a hairy black hole. In the bulk
theory, we find the clue of the influence of nonlinear corrections in the gauge
field on the process of the scalar field condensation. We show that the bulk
dynamics in the non-equilibrium process is completely consistent with the
observations on the boundary order parameter. Furthermore we examine the time
evolution of horizons in the bulk non-equilibrium transformation process from
the bald AdS black hole to the AdS hairy hole. Both the evolution of apparent
and event horizons show that the original AdS black hole configuration requires
more time to finish the transformation to become a hairy black hole if there is
nonlinear correction to the electromagnetic field. We generalize our
non-equilibrium discussions to the holographic entanglement entropy and find
that the holographic entanglement entropy can give us further understanding of
the influence of the nonlinearity in the gauge field on the scalar
condensation. In our analysis, we also compare the effect of different models
on the corrections to the gauge field on the formation of holographic
superconductor.Comment: 22 pages,accepted for publication in JHE
A Detailed Study of Bogomol'nyi Equations in Two-Dimensional Generalized
  Maxwell-Higgs Model Using \textit{On-Shell} Method

We use a recent {\it on-shell} Bogomol'nyi method, developed
in~\cite{Atmaja:2014fha}, to construct Bogomol'nyi equations of the
two-dimensional generalized Maxwell-Higgs model~\cite{Bazeia:2012uc}. The
formalism can generate a large class of Bogomol'nyi equations parametrized by a
constant $C_0$. The resulting equations are classified into two types,
determined by $C_0=0$ and $C_0\neq0$. We identify that the ones obtained by
Bazeia {\it et al}~\cite{Bazeia:2012uc} are of the type $C_0=0$. We also
reveal, as in the case of ordinary vortex, that this theory does not admit
Bogomol'nyi equations in the Bogomol'nyi-Prasad-Sommerfield limit in its
spectrum. However, when the vacuum energy is lifted up by adding some constant
to the energy density then the existence of such equation is possible. Another
possibility whose energy is equal to the vacuum is also discussed in brief. As
a future of the \textit{on-shell} method, we find another new Bogomol'nyi
equations, for $C_0\neq0$, which are related to a non-trivial function defined
as a difference between energy density of potential term of the scalar field
and kinetic term of the gauge field.Comment: draft, 18 page
Approaching Minimal Flavour Violation from an SU(5) x S4 x U(1) SUSY GUT

We show how approximate Minimal Flavour Violation (MFV) can emerge from an
SU(5) Supersymmetric Grand Unified Theory (SUSY GUT) supplemented by an S4 x
U(1) family symmetry, which provides a good description of all quark and lepton
(including neutrino) masses, mixings and CP violation. Assuming a SUSY breaking
mechanism which respects the family symmetry, we calculate in full explicit
detail the low energy mass insertion parameters in the super-CKM basis,
including the effects of canonical normalisation and renormalisation group
running. We find that the very simple family symmetry S4 x U(1) is sufficient
to approximately reproduce the effects of low energy MFV.Comment: 24 pages + appendices, version to be published in JHE
Two Higgs doublet model with vectorlike leptons and contributions to
  $pp\to WW$ and $H\to WW$

We study a two Higgs doublet model extended by vectorlike leptons mixing with
one family of standard model leptons. Generated flavor violating couplings
between heavy and light leptons can dramatically alter the decay patterns of
heavier Higgs bosons. We focus on $pp \to H \to \nu_4 \nu_\mu \to W \mu
\nu_\mu$, where $\nu_4$ is a new neutral lepton, and study possible effects of
this process on the measurements of $pp \to WW$ and $H \to WW$ since it leads
to the same final states. We discuss predictions for contributions to $pp \to
WW$ and $H \to WW$ and their correlations from the region of the parameter
space that satisfies all available constraints including precision electroweak
observables and from pair production of vectorlike leptons. Large
contributions, close to current limits, favor small $\tan \beta $ region of the
parameter space. We find that, as a result of adopted cuts in experimental
analyses, the contribution to $pp \to WW$ can be an order of magnitude larger
than the contribution to $H \to WW$. Thus, future precise measurements of
$pp\to WW$ will further constrain the parameters of the model. In addition, we
also consider possible contributions to $pp\to WW$ from the heavy Higgs decays
into a new charged lepton $e_4$ ($H\to e_4 \mu \to W \mu \nu_\mu$), exotic SM
Higgs decays, and pair production of vectorlike leptons.Comment: 28 pages, 13 figures, 2 table