1,340 research outputs found
Supersymmetry anomalies in conformal supergravity
We solve the Wess-Zumino consistency conditions of off-shell
conformal supergravity in four dimensions and determine the general form of the
superconformal anomalies for arbitrary and anomaly coefficients to
leading non trivial order in the gravitino. Besides the well known Weyl and
-symmetry anomalies, we compute explicitly the fermionic - and
-supersymmetry anomalies. In particular, we show that
-supersymmetry is anomalous if and only if -symmetry is
anomalous. The - and -supersymmetry anomalies give
rise to an anomalous supersymmetry transformation for the supercurrent on
curved backgrounds admitting Killing spinors, resulting in a deformed rigid
supersymmetry algebra. Our results may have implications for supersymmetric
localization and supersymmetry phenomenology. Analogous results are expected to
hold in dimensions two and six and for other supergravity theories. The present
analysis of the Wess-Zumino consistency conditions reproduces the holographic
result of arxiv:1703.04299 and generalizes it to arbitrary and anomaly
coefficients.Comment: 13+13 pages; v2: minor corrections and improvements; references
added; v3: further minor typos corrected; version published in JHE
Lifshitz holography: The whole shebang
We provide a general algorithm for constructing the holographic dictionary
for any asymptotically locally Lifshitz background, with or without
hyperscaling violation, and for any values of the dynamical exponents and
, as well as the vector hyperscaling violating exponent, that are
compatible with the null energy condition. The analysis is carried out for a
very general bottom up model of gravity coupled to a massive vector field and a
dilaton with arbitrary scalar couplings. The solution of the radial
Hamilton-Jacobi equation is obtained recursively in the form of a graded
expansion in eigenfunctions of two commuting operators, which are the
appropriate generalization of the dilatation operator for non scale invariant
and Lorentz violating boundary conditions. The Fefferman-Graham expansions, the
sources and 1-point functions of the dual operators, the Ward identities, as
well as the local counterterms required for holographic renormalization all
follow from this asymptotic solution of the radial Hamilton-Jacobi equation. We
also find a family of exact backgrounds with and corresponding
to a marginal deformation shifting the vector hyperscaling violating parameter
and we present an example where the conformal anomaly contains the only
conformal invariant in with four spatial derivatives.Comment: 83 pages, 1 figur
AdS/CFT correspondence and Geometry
In the first part of this paper we provide a short introduction to the
AdS/CFT correspondence and to holographic renormalization. We discuss how QFT
correlation functions, Ward identities and anomalies are encoded in the bulk
geometry. In the second part we develop a Hamiltonian approach to the method of
holographic renormalization, with the radial coordinate playing the role of
time. In this approach regularized correlation functions are related to
canonical momenta and the near-boundary expansions of the standard approach are
replaced by covariant expansions where the various terms are organized
according to their dilatation weight. This leads to universal expressions for
counterterms and one-point functions (in the presence of sources) that are
valid in all dimensions. The new approach combines optimally elements from all
previous methods and supersedes them in efficiency.Comment: 30 pages, for Proceedings of the Strasburg meeting on AdS/CFT; v2:
additional Comments, refs adde
Correlation Functions in Holographic RG Flows
We discuss the computation of correlation functions in holographic RG flows.
The method utilizes a recently developed Hamiltonian version of holographic
renormalization and it is more efficient than previous methods. A significant
simplification concerns the treatment of infinities: instead of performing a
general analysis of counterterms, we develop a method where only the
contribution of counterterms to any given correlator needs to be computed. For
instance, the computation of renormalized 2-point functions requires only an
analysis at the linearized level. We illustrate the method by discussing flat
and AdS-sliced domain walls. In particular, we discuss correlation functions of
the Janus solution, a recently discovered non-supersymmetric but stable
AdS-sliced domain wall.Comment: 33 pages, v2 additional material on Janus solution, typos corrected,
refs added, v3 additional comments on Janus solution, figure added, version
to appear in JHE
Generalized dilatation operator method for non-relativistic holography
We present a general algorithm for constructing the holographic dictionary
for Lifshitz and hyperscaling violating Lifshitz backgrounds for any value of
the dynamical exponent and any value of the hyperscaling violation
parameter compatible with the null energy condition. The objective of
the algorithm is the construction of the general asymptotic solution of the
radial Hamilton-Jacobi equation subject to the desired boundary conditions,
from which the full dictionary can be subsequently derived. Contrary to the
relativistic case, we find that a fully covariant construction of the
asymptotic solution for running non-relativistic theories necessitates an
expansion in the eigenfunctions of two commuting operators instead of one. This
provides a covariant but non-relativistic grading of the expansion, according
to the number of time derivatives.Comment: 6 pages; v2 references added, discussion of the algorithm and the
holographic dictionary improve
Thermodynamics of Asymptotically Locally AdS Spacetimes
We formulate the variational problem for AdS gravity with Dirichlet boundary
conditions and demonstrate that the covariant counterterms are necessary to
make the variational problem well-posed. The holographic charges associated
with asymptotic symmetries are then rederived via Noether's theorem and
`covariant phase space' techniques. This allows us to prove the first law of
black hole mechanics for general asymptotically locally AdS black hole
spacetimes. We illustrate our discussion by computing the conserved charges and
verifying the first law for the four dimensional Kerr-Newman-AdS and the five
dimensional Kerr-AdS black holes.Comment: 55 pages; v2 one reference added, few signs corrected, version to
appear in JHEP; v3 corrected minor typos and acknowledgement
More Supersymmetric Standard-like Models from Intersecting D6-branes on Type IIA Orientifolds
We present new classes of supersymmetric Standard-like models from type IIA
\IT^6/(\IZ_2\times \IZ_2) orientifold with intersecting D6-branes. D6-branes
can wrap general supersymmetric three-cycles of \IT^6=\IT^2\times \IT^2\times
\IT^2, and any \IT^2 is allowed to be tilted. The models still suffer from
additional exotics, however we obtained solutions with fewer Higgs doublets, as
well as models with all three families of left-handed quarks and leptons
arising from the same intersecting sector, and examples of a genuine left-right
symmetric model with three copies of left-handed and right-handed families of
quarks and leptons.Comment: 16 pages, REVTEX
Riccati equations for holographic 2-point functions
Any second order homogeneous linear ordinary differential equation can be
transformed into a first order non-linear Riccati equation. We argue that the
Riccati form of the linearized fluctuation equations that determine the
holographic 2-point functions simplifies considerably the numerical computation
of such 2-point functions and of the corresponding transport coefficients by
computing directly the response functions, eliminating the arbitrary source
from the start. Moreover, it provides a neat criterion for the infrared
regularity of the fluctuations. In particular, it is shown that the infrared
regularity conditions for scalar and tensor fluctuations coincide, and hence
they are either both regular or both singular. We demonstrate our numerical
recipe based on the Riccati equations by computing the holographic 2-point
functions for the stress tensor and a scalar operator in a number of
asymptotically anti de Sitter backgrounds of bottom up scalar-gravity models.
Analytical results are obtained for the 2-point function of the transverse
traceless part of the stress tensor in two confining geometries, including a
geometry that belongs to the class of IHQCD. We find that in this background
the spin-2 spectrum is linear and, as expected, the position space 2-point
function decays exponentially at large distances at a rate proportional to the
confinement scale.Comment: 33 pages, 5 figures, 2 appendices. Changes with respect to V1: major
extension of the numerical and analytical analysis. Added lemma 5.1,
appendices A and B and references. Corrected typo
5D Rotating Black Holes and the nAdS/nCFT Correspondence
We study rotating black holes in five dimensions using the nAdS/nCFT
correspondence. A consistent truncation of pure Einstein gravity (with a
cosmological constant) in five dimensions to two dimensions gives a
generalization of the Jackiw-Teitelboim theory that has two scalar fields: a
dilaton and a squashing parameter that breaks spherical symmetry. The interplay
between these two scalar fields is non trivial and leads to interesting new
features. We study the holographic description of this theory and apply the
results to the thermodynamics of the rotating black hole from a two dimensional
point of view. This setup challenges notions of universality that have been
advanced based on simpler models: we find that the mass gap of Kerr-AdS
corresponds to an undetermined effective coupling in the nAdS/nCFT
theory which depends on ultraviolet data.Comment: 49 pages; v2 minor comments and references added; v3 fixed minor
typos in eqs. (4.5) and (4.26
Walking Dynamics from String Duals
Within the context of a String Theory dual to N=1 gauge theories with gauge
group SU(Nc) and large Nc, we identify a class of solutions of the background
equations for which a suitably defined dual of the gauge coupling exhibits the
features of a walking theory. We find evidence for three distinct, dynamically
generated scales, characterizing walking, symmetry breaking and confinement,
and we put them in correspondence with field theory by an analysis of the
operators driving the flow.Comment: 20 pages, 7 figure
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