pinecone/core-2020-05-10-deduplication huggingface dataset:
Holographic renormalization as a canonical transformation

The gauge/string dualities have drawn attention to a class of variational
problems on a boundary at infinity, which are not well defined unless a certain
boundary term is added to the classical action. In the context of supergravity
in asymptotically AdS spaces these problems are systematically addressed by the
method of holographic renormalization. We argue that this class of a priori ill
defined variational problems extends far beyond the realm of holographic
dualities. As we show, exactly the same issues arise in gravity in non
asymptotically AdS spaces, in point particles with certain unbounded from below
potentials, and even fundamental strings in flat or AdS backgrounds. We show
that the variational problem in all such cases can be made well defined by the
following procedure, which is intrinsic to the system in question and does not
rely on the existence of a holographically dual theory: (i) The first step is
the construction of the space of the most general asymptotic solutions of the
classical equations of motion that inherits a well defined symplectic form from
that on phase space. The requirement of a well defined symplectic form is
essential and often leads to a necessary repackaging of the degrees of freedom.
(ii) Once the space of asymptotic solutions has been constructed in terms of
the correct degrees of freedom, then there exists a boundary term that is
obtained as a certain solution of the Hamilton-Jacobi equation which
simultaneously makes the variational problem well defined and preserves the
symplectic form. This procedure is identical to holographic renormalization in
the case of asymptotically AdS gravity, but it is applicable to any Hamiltonian
system.Comment: 37 pages; v2 minor corrections in section 2, 2 references and a
  footnote on Palatini gravity added. Version to appear in JHE
Localization of gravity on a de Sitter thick braneworld without scalar
  fields

In this work we present a simple thick braneworld model that is generated by
an intriguing interplay between a 5D cosmological constant with a de Sitter
metric induced in the 3-brane without the inclusion of scalar fields. We show
that 4D gravity is localized on this brane, provide analytic expressions for
the massive Kaluza-Klein (KK) fluctuation modes and also show that the spectrum
of metric excitations displays a mass gap. We finally present the corrections
to Newton's law due to these massive modes. This model has no naked
singularities along the fifth dimension despite the existence of a mass gap in
the graviton spectrum as it happens in thick branes with 4D Poincare symmetry,
providing a simple model with very good features: the curvature is completely
smooth along the fifth dimension, it localizes 4D gravity and the spectrum of
gravity fluctuations presents a mass gap, a fact that rules out the existence
of phenomenologically dangerous ultralight KK excitations in the model. We
finally present our solution as a limit of scalar thick branes.Comment: 11 pages in latex, no figures, title and abstract changed, a new
  section and some references adde
A simple approach to counterterms in N=8 supergravity

We present a simple systematic method to study candidate counterterms in N=8
supergravity. Complicated details of the counterterm operators are avoided
because we work with the on-shell matrix elements they produce. All n-point
matrix elements of an independent SUSY invariant operator of the form D^{2k}
R^n +... must be local and satisfy SUSY Ward identities. These are strong
constraints, and we test directly whether or not matrix elements with these
properties can be constructed. If not, then the operator does not have a
supersymmetrization, and it is excluded as a potential counterterm. For n>4, we
find that R^n, D^2 R^n, D^4 R^n, and D^6 R^n are excluded as counterterms of
MHV amplitudes, while only R^n and D^2 R^n are excluded at the NMHV level. As a
consequence, for loop order L<7, there are no independent D^{2k}R^n
counterterms with n>4. If an operator is not ruled out, our method constructs
an explicit superamplitude for its matrix elements. This is done for the 7-loop
D^4 R^6 operator at the NMHV level and in other cases. We also initiate the
study of counterterms without leading pure-graviton matrix elements, which can
occur beyond the MHV level. The landscape of excluded/allowed candidate
counterterms is summarized in a colorful chart.Comment: 25 pages, 1 figure, published versio
Supersymmetric Extension of GCA in 2d

We derive the infinite dimensional Supersymmetric Galilean Conformal Algebra
(SGCA) in the case of two spacetime dimensions by performing group contraction
on 2d superconformal algebra. We also obtain the representations of the
generators in terms of superspace coordinates. Here we find realisations of the
SGCA by considering scaling limits of certain 2d SCFTs which are non-unitary
and have their left and right central charges become large in magnitude and
opposite in sign. We focus on the Neveu-Schwarz sector of the parent SCFTs and
develop, in parallel to the GCA studies recently in (arXiv:0912.1090), the
representation theory based on SGCA primaries, Ward identities for their
correlation functions and their descendants which are null states.Comment: La TeX file, 32 pages; v2: typos corrected, journal versio
Taming the b antighost with Ramond-Ramond flux

In the pure spinor formalism for the superstring, the b antighost is
necessary for multiloop amplitude computations and is a composite operator
constructed to satisfy {Q,b}=T where Q is the BRST operator and T is the
holomorphic stress-tensor. In superstring backgrounds with only NS-NS fields
turned on, or in flat space, one needs to introduce "non-minimal" variables in
order to construct the b antighost. However, in Type II backgrounds where the
Ramond-Ramond bispinor field-strength satisfies certain conditions, the b
antighost can be constructed without the non-minimal variables. Although the b
antighost in these backgrounds is not holomorphic, its antiholomorphic
derivative is BRST-trivial. We discuss the properties of this operator both in
the AdS_5 x S^5 background and in a generic curved background.Comment: 23 pages, harvmac; refs added; corrected the necessary conditions on
  Ramond-Ramond field to construct b antighos
Galilean quantum gravity with cosmological constant and the extended
  q-Heisenberg algebra

We define a theory of Galilean gravity in 2+1 dimensions with cosmological
constant as a Chern-Simons gauge theory of the doubly-extended Newton-Hooke
group, extending our previous study of classical and quantum gravity in 2+1
dimensions in the Galilean limit. We exhibit an r-matrix which is compatible
with our Chern-Simons action (in a sense to be defined) and show that the
associated bi-algebra structure of the Newton-Hooke Lie algebra is that of the
classical double of the extended Heisenberg algebra. We deduce that, in the
quantisation of the theory according to the combinatorial quantisation
programme, much of the quantum theory is determined by the quantum double of
the extended q-deformed Heisenberg algebra.Comment: 22 page
From world-sheet supersymmetry to super target spaces

We investigate the relation between N=(2,2) superconformal Lie group WZNW
models and Lie supergroup WZNW models. The B-twist of an exactly marginal
perturbation of the world-sheet superconformal sigma model is the supergroup
model. Moreover, the superconformal currents are expressed in terms of Lie
superalgebra currents in the twisted theory. As applications, we find protected
sectors and boundary actions in the supergroup sigma model. A special example
is the relation between string theory on AdS_3 x S^3 x T^4 in the RNS formalism
and the U(1,1|2) x U(1|1) x U(1|1) supergroup WZNW model.Comment: 37 page
Multi-black rings and the phase diagram of higher-dimensional black
  holes

Configurations of multiple concentric black rings play an important role in
determining the pattern of branchings, connections and mergers between
different phases of higher-dimensional black holes. We examine them using both
approximate and (in five dimensions) exact methods. By identifying the role of
the different scales in the system, we argue that it is possible to have
multiple black ring configurations in which all the rings have equal
temperature and angular velocity. This allows us to correct and improve in a
simple, natural manner, an earlier proposal for the phase diagram of
singly-rotating black holes in $D\geq 6$.Comment: 14 pages, 2 figure
On Inflation with Non-minimal Coupling

A simple realization of inflation consists of adding the following operators
to the Einstein-Hilbert action: (partial phi)^2, lambda phi^4, and xi phi^2 R,
with xi a large non-minimal coupling. Recently there has been much discussion
as to whether such theories make sense quantum mechanically and if the inflaton
phi can also be the Standard Model Higgs. In this note we answer these
questions. Firstly, for a single scalar phi, we show that the quantum field
theory is well behaved in the pure gravity and kinetic sectors, since the
quantum generated corrections are small. However, the theory likely breaks down
at ~ m_pl / xi due to scattering provided by the self-interacting potential
lambda phi^4. Secondly, we show that the theory changes for multiple scalars
phi with non-minimal coupling xi phi dot phi R, since this introduces
qualitatively new interactions which manifestly generate large quantum
corrections even in the gravity and kinetic sectors, spoiling the theory for
energies > m_pl / xi. Since the Higgs doublet of the Standard Model includes
the Higgs boson and 3 Goldstone bosons, it falls into the latter category and
therefore its validity is manifestly spoiled. We show that these conclusions
hold in both the Jordan and Einstein frames and describe an intuitive analogy
in the form of the pion Lagrangian. We also examine the recent claim that
curvature-squared inflation models fail quantum mechanically. Our work appears
to go beyond the recent discussions.Comment: 14 pages, 2 figures. Version 2: Clarified findings and improved
  wording. Elaborated important sections and removed an unnecessary section.
  Added references. Version 3: Updated towards JHEP version. Version 4: Final
  JHEP versio
Dynamical Supersymmetry Breaking in Intersecting Brane Models

In this paper we study dynamical supersymmetry breaking in absence of gravity
with the matter content of the minimal supersymmetric standard model. The
hidden sector of the theory is a strongly coupled gauge theory, realized in
terms of microscopic variables which condensate to form mesons. The
supersymmetry breaking scalar potential combines F, D terms with instanton
generated interactions in the Higgs-mesons sector. We show that for a large
region in parameter space the vacuum breaks in addition to supersymmetry also
electroweak gauge symmetry. We furthermore present local D-brane configurations
that realize these supersymmetry breaking patterns.Comment: 30 pages, 4 figures, pdflate
Non-simply-laced Lie algebras via F theory strings

In order to describe the appearance in F theory of the non--simply--laced Lie
algebras, we use the representation of symmetry enhancements by means of string
junctions. After an introduction to the techniques used to describe symmetry
enhancement, that is algebraic geometry, BPS states analysis and string
junctions, we concentrate on the latter. We give an explicit description of the
folding of D_{2n} to B_n of the folding of E_6 to F_4 and that of D_4 to G_2 in
terms of junctions and Jordan strings. We also discuss the case of C_n, but we
are unable in this case to provide a string interpretation.Comment: 24 pages, 3 figure
Spontaneous R-Parity Violation, $A_4$ Flavor Symmetry and Tribimaximal
  Mixing

We explore the possibility of spontaneous R parity violation in the context
of $A_4$ flavor symmetry. Our model contains $SU(3)_c \times SU(2)_L \times
U(1)_Y$ singlet matter chiral superfields which are arranged as triplet of
$A_4$ and as well as few additional Higgs chiral superfields which are singlet
under MSSM gauge group and belong to triplet and singlet representation under
the $A_4$ flavor symmetry. R parity is broken spontaneously by the vacuum
expectation values of the different sneutrino fields and hence we have
neutrino-neutralino as well as neutrino-MSSM gauge singlet higgsino mixings in
our model, in addition to the standard model neutrino- gauge singlet neutrino,
gaugino-higgsino and higgsino-higgsino mixings. Because all of these mixings we
have an extended neutral fermion mass matrix. We explore the low energy
neutrino mass matrix for our model and point out that with some specific
constraints between the sneutrino vacuum expectation values as well as the MSSM
gauge singlet Higgs vacuum expectation values, the low energy neutrino mass
matrix will lead to a tribimaximal mixing matrix. We also analyze the potential
minimization for our model and show that one can realize a higher vacuum
expectation value of the $SU(3)_c \times SU(2)_L \times U(1)_Y$ singlet
sneutrino fields even when the other sneutrino vacuum expectation values are
extremely small or even zero.Comment: 18 page
Split Flows in Bubbled Geometries

We propose a procedure to clarify part of the physical sector in the five
dimensional bubble geometries based on ideas similar to the split attractor
flow conjecture proposed by Denef. This procedure involves building some simple
tree-like graphs that we call skeletons without referring to the moduli space.
The skeleton (tree) exists if and only if it passes the existence conditions
which are purely based on some local CTC's (closed timelike curves) checking.
Then, we propose the conjecture similar to Denef's version which states that
every existing skeleton (tree) should correspond to some solution in which the
global absence of CTC's is ensured. Furthermore, we propose two pictures to
identify this correspondence explicitly and use some numerical examples to show
how this procedure works. We also analyze the physical sector of the simplest
bubbled supertube and see how the existence conditions constrain the charge
parameter space.Comment: 46 pages, 31 figures; v2: JHEP style, discussion in section 3
  generally improved, additional section 3.3 included for clarification, typos
  and wording correcte
Constraints and Generalized Gauge Transformations on Tree-Level Gluon
  and Graviton Amplitudes

Writing the fully color dressed and graviton amplitudes, respectively, as
${\bf A}=<C|A> =<C|M|N> $ and ${\bf A}_{gr}= <\tilde N|M|N> $, where $|A> $ is
a set of Kleiss-Kuijf color-ordered basis, $|N>, $|\tilde N> $ and $|C>$ are
the similarly ordered numerators and color coefficients, we show that the
propagator matrix $M$ has $(n-3)(n-3)!$ independent eigenvectors $|\lambda
^0_j>$ with zero eigenvalue, for $n$-particle processes. The resulting
equations $<\lambda ^0_j|A> = 0$ are relations among the color ordered
amplitudes. The freedom to shift $|N> \to |N> +\sum_j f_j|\lambda ^0_j>$ and
similarly for $|\tilde N>$, where $f_j$ are $(n-3)(n-3)!$ arbitrary functions,
encodes generalized gauge transformations. They yield both BCJ amplitude and
KLT relations, when such freedom is accounted for. Furthermore, $f_j$ can be
promoted to the role of effective Lagrangian vertices in the field operator
space.Comment: 22 pages, JHEP version, Appendix A expanded, one typo fixe
SLIM at LHC: LHC search power for a model linking dark matter and
  neutrino mass

Recently a model has been proposed that links dark matter and neutrino
masses. The dark matter candidate which is dubbed as SLIM has a mass of MeV
scale and can show up at low energy experiments. The model also has a high
energy sector which consists of a scalar doublet, $(\phi^-, \phi^0)$. We
discuss the potential of the LHC for discovering the new scalars. We focus on
the $\phi^+\phi^-$ and $\phi^{\pm} \phi^0$ production and the subsequent decay
of the charged scalar to a charged lepton and the SLIM which appears as missing
energy. Identifying the background, we estimate the signal significance and
find that it can exceed $5 \sigma$ at 30 ${\rm fb}^{-1}$ for the 14 TeV run at
the LHC. We comment on the possibility of extracting the flavor structure of
the Yukawa couplings which also determine the neutrino mass matrix. Finally, we
discuss the prospects of this search at the current 7 TeV run of the LHC.Comment: 26 pages, 21 figure
Thermodynamic Geometry and Hawking Radiation

This work explores the role of thermodynamic fluctuations in the two
parameter Hawking radiating black hole configurations. The system is
characterized by an ensemble of arbitrary mass and radiation frequency of the
black holes. In the due course of the Hawking radiations, we find that the
intrinsic geometric description exhibits an intriguing set of exact pair
correction functions and global correlation lengths. We investigate the nature
of the constant amplitude radiation and find that it's not stable under
fluctuations of the mass and frequency. Subsequently, the consideration of the
York model decreasing amplitude radiation demonstrates that thermodynamic
fluctuations are globally stable in the small frequency region. In connection
with quantum gravity refinements, we take an account of the logarithmic
correction into the constant amplitude and York amplitude over the Hawking
radiation. In both considerations, we notice that the nature of the possible
parametric fluctuations may precisely be ascertained without any approximation.
In the frequency domain $w \in (0, \infty)$, we observe that both the local and
the global thermodynamic fluctuations of the radiation energy flux are stable
in the s-channel. The intrinsic geometry exemplifies a definite stability
character to the thermodynamic fluctuations, and up to finitely many
topological defects on the parametric surface, the notion remains almost the
same for both the constant amplitude and the York model. The Gaussian
fluctuations over equilibrium radiation energy flux and fluctuating horizon
configurations accomplish a well-defined, non-degenerate, curved and regular
intrinsic Riemannian manifolds, for all the physically admissible domains of
the radiation parameters.
  PACS numbers: 04.70.-s: Physics of black holes; 04.70.-Bw: Classical black
holes; 04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics;
04.60.Cf Gravitational aspects of string theory.
  Keywords: Quantum Gravity, Hawking Radiation; Horizon Perturbations; Vaidya
Geometry; York Model; Statistical Fluctuations; Thermodynamic ConfigurationsComment: 38 pages, 12 figure
The Orbifold-String Theories of Permutation-Type: I. One Twisted BRST
  per Cycle per Sector

We resume our discussion of the new orbifold-string theories of
permutation-type, focusing in the present series on the algebraic formulation
of the general bosonic prototype and especially the target space-times of the
theories. In this first paper of the series, we construct one twisted BRST
system for each cycle $j$ in each twisted sector $\sigma$ of the general case,
verifying in particular the previously-conjectured algebra
$[Q_{i}(\sigma),Q_{j}(\sigma)]_{+} =0$ of the BRST charges. The BRST systems
then imply a set of extended physical-state conditions for the matter of each
cycle at cycle central charge $\hat{c}_{j}(\sigma)=26f_{j}(\sigma)$ where
$f_{j}(\sigma)$ is the length of cycle $j$.Comment: 31 page
Hidden Yangian symmetry in sigma model on squashed sphere

We discuss a hidden symmetry of a two-dimensional sigma model on a squashed
S^3. The SU(2) current can be improved so that it can be regarded as a flat
connection. Then we can obtain an infinite number of conserved non-local
charges and show the Yangian algebra by directly checking the Serre relation.
This symmetry is also deduced from the coset structure of the squashed sphere.
The same argument is applicable to the warped AdS_3 spaces via double Wick
rotations.Comment: 11 pages, 1 figure, typos corrected, references adde
The Weak Gravity Conjecture and the Viscosity Bound with Six-Derivative
  Corrections

The weak gravity conjecture and the shear viscosity to entropy density bound
place constraints on low energy effective field theories that may help to
distinguish which theories can be UV completed. Recently, there have been
suggestions of a possible correlation between the two constraints. In some
interesting cases, the behavior was precisely such that the conjectures were
mutually exclusive. Motivated by these works, we study the mass to charge and
shear viscosity to entropy density ratios for charged AdS5 black branes, which
are holographically dual to four-dimensional CFTs at finite temperature. We
study a family of four-derivative and six-derivative perturbative corrections
to these backgrounds. We identify the region in parameter space where the two
constraints are satisfied and in particular find that the inclusion of the
next-to-leading perturbative correction introduces wider possibilities for the
satisfaction of both constraints.Comment: 24 pages, 6 figures, v2: published version, refs added, minor
  clarificatio
Aging and Holography

Aging phenomena are examples of `non-equilibrium criticality' and can be
exemplified by systems with Galilean and scaling symmetries but no time
translation invariance. We realize aging holographically using a deformation of
a non-relativistic version of gauge/gravity duality. Correlation functions of
scalar operators are computed using holographic real-time techniques, and agree
with field theory expectations. At least in this setup, general aging phenomena
are reproduced holographically by complexifying the bulk space-time geometry,
even in Lorentzian signature.Comment: 1 pdf figur
Analytic Results for MHV Wilson Loops

We obtain concise analytic formulae for Wilson loops computed on special
n-point polygonal contours through two-loops in weakly coupled N=4
supersymmetric gauge theory. The contours we consider can be embedded into a
(1+1)-dimensional subspace of the 4-dimensional gauge theory, corresponding to
the boundary of the AdS_3 on the string theory side. Our analytic results hold
for any number of edges, thus generalising to arbitrary n the recently derived
expressions for 2-dimensional octagons. These polygonal Wilson loops have been
conjectured to be equivalent to MHV scattering amplitudes in planar N=4 SYM.Comment: 20 pages, 6 figure
A scalar field condensation instability of rotating anti-de Sitter black
  holes

Near-extreme Reissner-Nordstrom-anti-de Sitter black holes are unstable
against the condensation of an uncharged scalar field with mass close to the
Breitenlohner-Freedman bound. It is shown that a similar instability afflicts
near-extreme large rotating AdS black holes, and near-extreme hyperbolic
Schwarzschild-AdS black holes. The resulting nonlinear hairy black hole
solutions are determined numerically. Some stability results for (possibly
charged) scalar fields in black hole backgrounds are proved. For most of the
extreme black holes we consider, these demonstrate stability if the ``effective
mass" respects the near-horizon BF bound. Small spherical
Reissner-Nordstrom-AdS black holes are an interesting exception to this result.Comment: 34 pages; 13 figure