pinecone/core-2020-05-10-deduplication huggingface dataset:
Rényi Entropies for Free Field Theories

Rényi entropies \(S_{q}\) are useful measures of quantum entanglement; they can be calculated from traces of the reduced density matrix raised to power q, with \(q \geq 0\). For \((d + 1)\)-dimensional conformal field theories, the Rényi entropies across \(S^{d−1}\) may be extracted from the thermal partition functions of these theories on either \((d + 1)\)-dimensional de Sitter space or \(\mathbb{R} \times \mathbb{H}^{d}\), where \(\mathbb{H}^{d}\) is the d-dimensional hyperbolic space. These thermal partition functions can in turn be expressed as path integrals on branched coverings of the \((d + 1)\)-dimensional sphere and \(S^{1} \times \mathbb{H}^{d}\), respectively. We calculate the Rényi entropies of free massless scalars and fermions in d = 2, and show how using zeta-function regularization one finds agreement between the calculations on the branched coverings of \(S^{3}\) and on \(S^{1} \times \mathbb{H}^{2}\). Analogous calculations for massive free fields provide monotonic interpolating functions between the Rényi entropies at the Gaussian and the trivial fixed points. Finally, we discuss similar Rényi entropy calculations in \(d > 2\).Physic
Hall viscosity from gauge/gravity duality

In (2+1)-dimensional systems with broken parity, there exists yet another
transport coefficient, appearing at the same order as the shear viscosity in
the hydrodynamic derivative expansion. In condensed matter physics, it is
referred to as "Hall viscosity". We consider a simple holographic realization
of a (2+1)-dimensional isotropic fluid with broken spatial parity. Using
techniques of fluid/gravity correspondence, we uncover that the holographic
fluid possesses a nonzero Hall viscosity, whose value only depends on the
near-horizon region of the background. We also write down a Kubo's formula for
the Hall viscosity. We confirm our results by directly computing the Hall
viscosity using the formula.Comment: 12 page
Metastable supertubes and non-extremal black hole microstates

We study the dynamics of supertubes in smooth bubbling geometries with three charges and three dipole charges that can describe black holes, black rings and their microstates. We find the supertube Hamiltonian in these backgrounds and show that there exist metastable supertube configurations, that can decay into supersymmetric and non-supersymmetric ones via brane-flux annihilation. We also find stable non-supersymmetric configurations. Both the metastable and the stable non-supersymmetric configuration are expected to describe microstate geometries for non-extremal black holes, and we discuss the implication of their existence for the fuzzball proposal.status: publishe
Individual Eigenvalue Distributions for the Wilson Dirac Operator

We derive the distributions of individual eigenvalues for the Hermitian
Wilson Dirac Operator D5 as well as for real eigenvalues of the Wilson Dirac
Operator DW. The framework we provide is valid in the epsilon regime of chiral
perturbation theory for any number of flavours Nf and for non-zero low energy
constants W6, W7, W8. It is given as a perturbative expansion in terms of the
k-point spectral density correlation functions and integrals thereof, which in
some cases reduces to a Fredholm Pfaffian. For the real eigenvalues of DW at
fixed chirality nu this expansion truncates after at most nu terms for small
lattice spacing "a". Explicit examples for the distribution of the first and
second eigenvalue are given in the microscopic domain as a truncated expansion
of the Fredholm Pfaffian for quenched D5, where all k-point densities are
explicitly known from random matrix theory. For the real eigenvalues of
quenched DW at small "a" we illustrate our method by the finite expansion of
the corresponding Fredholm determinant of size nu.Comment: 20 pages, 5 figures; v2: typos corrected, refs added and discussion
  of W6 and W7 extende
Complete Anatomy of B -> K*ll and its angular distribution

We present a complete and optimal set of observables for the exclusive 4-body
B meson decay B -> K*(->K pi) l+l- in the low dilepton mass region, that
contains a maximal number of clean observables. This basis of observables is
built in a systematic way. We show that all the previously defined observables
and any observable that one can construct, can be expressed as a function of
this basis. This set of observables contains all the information that can be
extracted from the angular distribution in the cleanest possible way. We
provide explicit expressions for the full and the uniangular distributions in
terms of this basis. The conclusions presented here can be easily extended to
the large-q^2 region. We study the sensitivity of the observables to
right-handed currents and scalars. Finally, we present for the first time all
the symmetries of the full distribution including massive terms and scalar
contributions.Comment: 37 pages, 12 Figures. Corrected typo in Eqs. (29) and (44). Results
  and conclusions unchange
Domain Walls in Extended Lovelock Gravity

We derive a BPS-like first order system of equations for a family of flat
static domain walls (DWs) of dimensionally extended cubic Lovelock Gravity
coupled to massive scalar self-interacting matter. The explicit construction of
such DWs is achieved by introducing of an appropriate matter superpotential. We
further analyse the dependence of the geometric properties of the
asymptotically AdSd space-times representing distinct DWs on the shape of the
matter potential, on the values of the Lovelock couplings and on the scalar
field boundary conditions. Few explicit examples of Lovelock DWs interpolating
between AdS-type vacua of different cosmological constants are presented. In
five dimensions our method provides interesting solutions of the Myers-Robinson
Quasi-topological Gravity in the presence of matter important for the
description of the specific renormalization group flows in its holographic dual
four-dimensional CFT perturbed by relevant operators.Comment: 39 pages,2figures; V2- small corrections and improvements, references
  adde
Chiral Symmetry Breaking and External Fields in the
  Kuperstein-Sonnenschein Model

A novel holographic model of chiral symmetry breaking has been proposed by
Kuperstein and Sonnenschein by embedding non-supersymmetric probe D7 and
anti-D7 branes in the Klebanov-Witten background. We study the dynamics of the
probe flavours in this model in the presence of finite temperature and a
constant electromagnetic field. In keeping with the weakly coupled field theory
intuition, we find the magnetic field promotes spontaneous breaking of chiral
symmetry whereas the electric field restores it. The former effect is
universally known as the "magnetic catalysis" in chiral symmetry breaking. In
the presence of an electric field such a condensation is inhibited and a
current flows. Thus we are faced with a steady-state situation rather than a
system in equilibrium. We conjecture a definition of thermodynamic free energy
for this steady-state phase and using this proposal we study the detailed phase
structure when both electric and magnetic fields are present in two
representative configurations: mutually perpendicular and parallel.Comment: 50 pages, multiple figures, minor typo fixed, references adde
The classical origin of quantum affine algebra in squashed sigma models

We consider a quantum affine algebra realized in two-dimensional non-linear sigma models with target space three-dimensional squashed sphere. Its affine generators are explicitly constructed and the Poisson brackets are computed. The defining relations of quantum affine algebra in the sense of the Drinfeld first realization are satisfied at classical level. The relation to the Drinfeld second realization is also discussed including higher conserved charges. Finally we comment on a semiclassical limit of quantum affine algebra at quantum level
Split families unified

We present a simple supersymmetric model of split families consistent with
flavor limits that preserves the successful prediction of gauge coupling
unification and naturally accounts for the Higgs mass. The model provides an
intricate connection between the Standard Model flavor hierarchy,
supersymmetric flavor problem, unification and the Higgs mass. In particular
unification favors a naturally large Higgs mass from D-term corrections to the
quartic couplings in the Higgs potential. The unification scale is lowered with
a stable proton that can account for the success of b-tau Yukawa coupling
unification. The sparticle spectrum is similar to that of natural
supersymmetry, as motivated by the supersymmetric flavor problem and recent LHC
bounds, with a heavy scalar particle spectrum except for a moderately light
stop required for viable electroweak symmetry breaking. Finally, Higgs
production and decays, NLSP decays, and new states associated with extending
the Standard Model gauge group above the TeV scale provide signatures for
experimental searches at the LHC.Comment: 21 pages, 4 figure
Spontaneous breaking of a discrete symmetry and holography

We present an exactly solvable model of a scalar field in an AdS$_{d+1}$ like
background interpolating between a $Z_2$ preserving and a $Z_2$ breaking minima
of the potential. We define its holographic dual through the AdS/CFT dictionary
and argue that at zero temperature the $d-$dimensional strongly coupled system
on the boundary of AdS$_{d+1}$ exhibits a phase with a spontaneously broken
discrete symmetry. In the presence of a black hole in the bulk ($T\neq 0$) we
find that, although the metastable phase is present, the discrete symmetry gets
restored. We compute exactly the lowest order boundary correlation functions in
the spontaneously broken phase at T=0, finding out a pole of the propagator for
zero momenta that signals the presence of a massless mode.Comment: 20 pages, 3 figures, title change
Factorisation of N = 2 theories on the squashed 3-sphere

Partition functions of N=2 theories on the squashed 3-sphere have been recently shown to localise to matrix integrals. By explicitly evaluating the matrix integral we show that abelian partition functions can be expressed as a sum of products of two blocks. We identify the first block with the partition function of the vortex theory, with equivariant parameter hbar=2 Pi i b^2, defined on R^2 x S_1 corresponding to the b->0 degeneration of the ellipsoid. The second block gives the partition function of the vortex theory with equivariant parameter hbar^L=2 Pi i/b^2, on the dual R^2 x S_1 corresponding to the 1/b ->0 degeneration. The ellipsoid partition appears to provide the hbar -> hbar^L modular invariant non-perturbative completion of the vortex theory
Asymmetric Orbifolds, Non-Geometric Fluxes and Non-Commutativity in
  Closed String Theory

In this paper we consider a class of exactly solvable closed string flux
backgrounds that exhibit non-commutativity in the closed string coordinates.
They are realized in terms of freely-acting asymmetric Z_N-orbifolds, which are
themselves close relatives of twisted torus fibrations with elliptic
Z_N-monodromy (elliptic T-folds). We explicitly construct the modular invariant
partition function of the models and derive the non-commutative algebra in the
string coordinates, which is exact to all orders in {\alpha}'. Finally, we
relate these asymmetric orbifold spaces to inherently stringy Scherk-Schwarz
backgrounds and non-geometric fluxes.Comment: 30 page
Comments on Holographic Entanglement Entropy and RG Flows

Using holographic entanglement entropy for strip geometry, we construct a
candidate for a c-function in arbitrary dimensions. For holographic theories
dual to Einstein gravity, this c-function is shown to decrease monotonically
along RG flows. A sufficient condition required for this monotonic flow is that
the stress tensor of the matter fields driving the holographic RG flow must
satisfy the null energy condition over the holographic surface used to
calculate the entanglement entropy. In the case where the bulk theory is
described by Gauss-Bonnet gravity, the latter condition alone is not sufficient
to establish the monotonic flow of the c-function. We also observe that for
certain holographic RG flows, the entanglement entropy undergoes a 'phase
transition' as the size of the system grows and as a result, evolution of the
c-function may exhibit a discontinuous drop.Comment: References adde
Isospin breaking effects due to the up-down mass difference in Lattice QCD

We present a new method to evaluate with high precision isospin breaking effects due to the small mass difference between the up and down quarks using lattice QCD. Our proposal is applicable in principle to any hadronic observable which can be computed on the lattice. It is based on the expansion of the path-integral in powers of the small parameter md-mu. In this paper, we apply this method to compute the leading isospin breaking effects for several physical quantities of interest: the kaon meson masses, the kaon decay constant, the form factors of semileptonic Kl3 decays and the neutron-proton mass splitting
Measurement of mixing and CP violation parameters in two-body charm decays

A study of mixing and indirect CP violation in D 0 mesons through the determination of the parameters y CP and A Γ is presented. The parameter y CP is the deviation from unity of the ratio of effective lifetimes measured in D 0 decays to the CP eigenstate K + K − with respect to decays to the Cabibbo favoured mode K −π+. The result measured using data collected by LHCb in 2010, corresponding to an integrated luminosity of 29 pb−1, is y CP = (5.5 ± 6.3stat ± 4.1syst) × 10−3. The parameter A Γ is the asymmetry of effective lifetimes measured in decays of D 0 and D¯¯¯0 mesons to K + K −. The result is A Γ = (−5.9 ± 5.9stat ± 2.1syst) × 10−3. A data-driven technique is used to correct for lifetime-biasing effects
Histogram comparison tools for the search of new physics at LHC. Application to the CMSSM

Journal of High Energy Physics 2012.04 (2012): 133 reproduced by permission of Scuola Internazionale Superiore di Studi Avanzati (SISSA)Artículo escrito por un elevado número de autores, solo se referencian el que aparece en primer lugar, el nombre del grupo de colaboración, si le hubiere, y los autores pertenecientes a la UAMWe propose a rigorous and effective way to compare experimental and theoretical histograms, incorporating the different sources of statistical and systematic uncertainties. This is a useful tool to extract as much information as possible from the comparison between experimental data with theoretical simulations, optimizing the chances of identifying New Physics at the LHC. We illustrate this by showing how a search in the CMSSM parameter space, using Bayesian techniques, can effectively find the correct values of the CMSSM parameters by comparing histograms of events with multijets + missing transverse momentum displayed in the effective-mass variable. The procedure is in fact very efficient to identify the true supersymmetric model, in the case supersymmetry is really there and accessible to the LH
Numerical properties of staggered quarks with a taste-dependent mass
  term

The numerical properties of staggered Dirac operators with a taste-dependent
mass term proposed by Adams [1,2] and by Hoelbling [3] are compared with those
of ordinary staggered and Wilson Dirac operators. In the free limit and on
(quenched) interacting configurations, we consider their topological
properties, their spectrum, and the resulting pion mass. Although we also
consider the spectral structure, topological properties, locality, and
computational cost of an overlap operator with a staggered kernel, we call
attention to the possibility of using the Adams and Hoelbling operators without
the overlap construction. In particular, the Hoelbling operator could be used
to simulate two degenerate flavors without additive mass renormalization, and
thus without fine-tuning in the chiral limit.Comment: 14 pages, 9 figures. V2: published version; important note added
  regarding Hoelbling fermions, otherwise minor change
Thermal Mass Spectra of Vector and Axial-Vector Mesons in Predictive
  Soft-Wall AdS/QCD Model

We extend the predictive soft-wall AdS/QCD model to a thermodynamic model by
considering the black hole metric. A modified bulk vacuum expectation value and
a modified coefficient for the quartic term in the bulk scalar potential are
introduced to obtain a smooth dilaton solution for computing the spectral
functions of the vector and axial-vector mesons. It is demonstrated that the
peaks appearing in the spectral functions characterize the thermal mass spectra
of vector and axial-vector mesons, where the location of the peak moves to a
lower value and the width of the peak becomes wider when increasing the
temperature. We observe that the peak disappears completely at the critical
temperature around $T_c=200$ MeV, which implies the deconfinement of quark and
the restoration of chiral symmetry breaking. A numerical study by fitting the
spectral function in terms of the Breit-Wigner form has been made to show how
the peak dissolves quantitatively when the temperature is increased to the
critical point.Comment: 20 pages, 8 figures, chiral symmetry restoration is explained in more
  detail, references added, published version in JHE
Meson Thermalization in Various Dimensions

In gauge/gravity duality framework the thermalization of mesons in strongly
coupled (p+1)-dimensional gauge theories is studied for a general Dp-Dq system,
q>=p, using the flavour Dq-brane as a probe. Thermalization corresponds to the
horizon formation on the flavour Dq-brane. We calculate the thermalization
time-scale due to a time-dependent change in the baryon number chemical
potential, baryon injection in the field theory. We observe that for such a
general system it has a universal behaviour depending only on the t'Hooft
coupling constant and the two parameters which describe how we inject baryons
into the system. We show that this universal behaviour is independent of the
details of the theory whether it is conformal and/or supersymmetric.Comment: 26 pages, 2 figure
D3-instantons, Mock Theta Series and Twistors

The D-instanton corrected hypermultiplet moduli space of type II string
theory compactified on a Calabi-Yau threefold is known in the type IIA picture
to be determined in terms of the generalized Donaldson-Thomas invariants,
through a twistorial construction. At the same time, in the mirror type IIB
picture, and in the limit where only D3-D1-D(-1)-instanton corrections are
retained, it should carry an isometric action of the S-duality group SL(2,Z).
We prove that this is the case in the one-instanton approximation, by
constructing a holomorphic action of SL(2,Z) on the linearized twistor space.
Using the modular invariance of the D4-D2-D0 black hole partition function, we
show that the standard Darboux coordinates in twistor space have modular
anomalies controlled by period integrals of a Siegel-Narain theta series, which
can be canceled by a contact transformation generated by a holomorphic mock
theta series.Comment: 42 pages; discussion of isometries is amended; misprints correcte
A First Top Partner Hunter's Guide

We provide a systematic effective lagrangian description of the phenomenology of the lightest top-partners in composite Higgs models. Our construction is based on symmetry, on selection rules and on plausible dynamical assumptions. The structure of the resulting simplified models depends on the quantum numbers of the lightest top partner and of the operators involved in the generation of the top Yukawa. In all cases the phenomenology is conveniently described by a small number of parameters, and the results of experimental searches are readily interpreted as a test of naturalness. We recast presently available experimental bounds on heavy fermions into bounds on top partners: LHC has already stepped well inside the natural region of parameter space
Mass hierarchy discrimination with atmospheric neutrinos in large volume
  ice/water Cherenkov detectors

Large mass ice/water Cherenkov experiments, optimized to detect low energy
(1-20 GeV) atmospheric neutrinos, have the potential to discriminate between
normal and inverted neutrino mass hierarchies. The sensitivity depends on
several model and detector parameters, such as the neutrino flux profile and
normalization, the Earth density profile, the oscillation parameter
uncertainties, and the detector effective mass and resolution. A proper
evaluation of the mass hierarchy discrimination power requires a robust
statistical approach. In this work, the Toy Monte Carlo, based on an extended
unbinned likelihood ratio test statistic, was used. The effect of each model
and detector parameter, as well as the required detector exposure, was then
studied. While uncertainties on the Earth density and atmospheric neutrino flux
profiles were found to have a minor impact on the mass hierarchy
discrimination, the flux normalization, as well as some of the oscillation
parameter (\Delta m^2_{31}, \theta_{13}, \theta_{23}, and \delta_{CP})
uncertainties and correlations resulted critical. Finally, the minimum required
detector exposure, the optimization of the low energy threshold, and the
detector resolutions were also investigated.Comment: 23 pages, 16 figure
A subtraction scheme for computing QCD jet cross sections at NNLO:
  integrating the doubly unresolved subtraction terms

We finish the definition of a subtraction scheme for computing NNLO
corrections to QCD jet cross sections. In particular, we perform the
integration of the soft-type contributions to the doubly unresolved
counterterms via the method of Mellin-Barnes representations. With these final
ingredients in place, the definition of the scheme is complete and the
computation of fully differential rates for electron-positron annihilation into
two and three jets at NNLO accuracy becomes feasible.Comment: 33 pages, references added, exposition expanded, minor typos
  corrected. Version published in JHE
Resonance at 125 GeV: Higgs or Dilaton/Radion?

We consider the possibility that the new particle that has been observed at
125 GeV is not the Standard Model (SM) Higgs, but instead the dilaton
associated with an approximate conformal symmetry that has been spontaneously
broken. We focus on dilatons that arise from theories of technicolor, or from
theories of the Higgs as a pseudo-Nambu-Goldstone boson (pNGB), that involve
strong conformal dynamics in the ultraviolet. In the pNGB case, we are
considering a framework where the Higgs particle is significantly heavier than
the dilaton and has therefore not yet been observed. In each of the technicolor
and pNGB scenarios, we study both the case when the SM fermions and gauge
bosons are elementary, and the case when they are composites of the strongly
interacting sector. Our analysis incorporates conformal symmetry violating
effects, which are necessarily present since the dilaton is not massless, and
is directly applicable to a broad class of models that stabilize the weak scale
and involve strong conformal dynamics. Since the AdS/CFT correspondence relates
the radion in Randall-Sundrum (RS) models to the dilaton, our results also
apply to RS models with the SM fields localized on the infrared brane, or in
the bulk. We identify the parameters that can be used to distinguish the
dilatons associated with the several different classes of theories being
considered from each other, and from the SM Higgs. We perform a fit to all the
available data from several experiments and highlight the key observations to
extract these parameters. We find that at present, both the technicolor and
pNGB dilaton scenarios provide a good fit to the data, comparable to the SM
Higgs. We indicate the future observations that will help to corroborate or
falsify each scenario.Comment: 41 pages, 4 figures. Analysis updated using current theoretical
  limits on dimensions of CFT operators. References added. Version to appear on
  JHE