107 research outputs found
Aspects of Diffeomorphism and Conformal invariance in classical Liouville theory
The interplay between the diffeomorphism and conformal symmetries (a feature
common in quantum field theories) is shown to be exhibited for the case of
black holes in two dimensional classical Liouville theory. We show that
although the theory is conformally invariant in the near horizon limit, there
is a breaking of the diffeomorphism symmetry at the classical level. On the
other hand, in the region away from the horizon, the conformal symmetry of the
theory gets broken with the diffeomorphism symmetry remaining intact.Comment: Accepted in Euro. Phys. Letters., Title changed, abstract modified,
major modifications made in the pape
Uniqueness of the asymptotic AdS3 geometry
We explicitly show that in (2+1) dimensions the general solution of the
Einstein equations with negative cosmological constant on a neigbourhood of
timelike spatial infinity can be obtained from BTZ metrics by coordinate
transformations corresponding geometrically to deformations of their spatial
infinity surface. Thus, whatever the topology and geometry of the bulk, the
metric on the timelike extremities is BTZ.Comment: LaTeX, 8 pages, no figures, version that will appear in Class. Quant.
Gra
The boundary field theory induced by the Chern-Simons theory
The Chern-Simons theory defined on a 3-dimensional manifold with boundary is
written as a two-dimensional field theory defined only on the boundary of the
three-manifold. The resulting theory is, essentially, the pullback to the
boundary of a symplectic structure defined on the space of auxiliary fields in
terms of which the connection one-form of the Chern-Simons theory is expressed
when solving the condition of vanishing curvature. The counting of the physical
degrees of freedom living in the boundary associated to the model is performed
using Dirac's canonical analysis for the particular case of the gauge group
SU(2). The result is that the specific model has one physical local degree of
freedom. Moreover, the role of the boundary conditions on the original Chern-
Simons theory is displayed and clarified in an example, which shows how the
gauge content as well as the structure of the constraints of the induced
boundary theory is affected.Comment: 10 page
Supergeometry of Three Dimensional Black Holes
We show how the supersymmetric properties of three dimensional black holes
can be obtained algebraically. The black hole solutions are constructed as
quotients of the supergroup by a discrete subgroup of its
isometry supergroup. The generators of the action of the isometry supergroup
which commute with these identifications are found. These yield the
supersymmetries for the black hole as found in recent studies as well as the
usual geometric isometries. It is also shown that in the limit of vanishing
cosmological constant, the black hole vacuum becomes a null orbifold, a
solution previously discussed in the context of string theory.Comment: 12 pages, harvmac, discussion of rotating black hole added, some
minor corrections, reference adde
Time-Symmetric Initial Data for Multi-Body Solutions in Three Dimensions
Time-symmetric initial data for two-body solutions in three dimensional
anti-deSitter gravity are found. The spatial geometry has constant negative
curvature and is constructed as a quotient of two-dimensional hyperbolic space.
Apparent horizons correspond to closed geodesics. In an open universe, it is
shown that two black holes cannot exist separately, but are necessarily
enclosed by a third horizon. In a closed universe, two separate black holes can
exist provided there is an additional image mass.Comment: 12 pages, harvmac macro, minor changes in wordin
More on Superstrings in AdS(3) x N
We study superstring theories on AdS(3) x N backgrounds yielding N=2,3,4
extended superconformal symmetries in the dual boundary CFT. In each case the
necessary constraints on the internal worldsheet theory N are found.Comment: JHEP style, 22 pages; v2: new references and a couple of sentences on
N=1 are adde
Embeddings of the Virasoro algebra and black hole entropy
We consider embeddings of the Virasoro algebra into other Virasoro algebras
with different central charges. A Virasoro algebra with central charge c
(assumed to be a positive integer) and zero mode operator L_0 can be embedded
into another Virasoro algebra with central charge one and zero mode operator c
L_0. We point out that this provides a new route to investigate the black hole
entropy problem in 2+1 dimensions.Comment: 4 pages (twocolumn), latex, no figures. Reference added. To appear in
Phys.Rev.Let
Three Dimensional de Sitter Gravity and the Correspondence
Certain aspects of three dimensional asymptotically de Sitter spaces are
studied, with emphasis on the mapping between gravity observables and the
representation of the conformal symmetry of the boundary. In particular, we
show that non-real conformal weights for the boundary theory correspond to
space-times that have non-zero angular momentum. Some miscellaneous results on
the role of the holonomies and isometry groups are also presented.Comment: 10 pages, 1 figure, uses epsf. Added references and a discussion on
the (dis)similarities with previous work
Anti-de Sitter/CFT Correspondence in Three-Dimensional Supergravity
Anti-de Sitter supergravity models are considered in three dimensions.
Precise asymptotic conditions involving a chiral projection are given on the
Rarita-Schwinger fields. Together with the known boundary conditions on the
bosonic fields, these ensure that the asymptotic symmetry algebra is the
superconformal algebra. The classical central charge is computed and found to
be equal to the one of pure gravity. It is also indicated that the asymptotic
degrees of freedom are described by 2D "induced supergravity" and that the
boundary conditions "transmute" the non-vanishing components of the WZW
supercurrent into the supercharges.Comment: Additional remarks in the extended case, added references, and small
misprints corrected. To appear in Phys. Rev. D. Latex, 19 pages, no figure
Phase behaviour of additive binary mixtures in the limit of infinite asymmetry
We provide an exact mapping between the density functional of a binary
mixture and that of the effective one-component fluid in the limit of infinite
asymmetry. The fluid of parallel hard cubes is thus mapped onto that of
parallel adhesive hard cubes. Its phase behaviour reveals that demixing of a
very asymmetric mixture can only occur between a solvent-rich fluid and a
permeated large particle solid or between two large particle solids with
different packing fractions. Comparing with hard spheres mixtures we conclude
that the phase behaviour of very asymmetric hard-particle mixtures can be
determined from that of the large component interacting via an adhesive-like
potential.Comment: Full rewriting of the paper (also new title). 4 pages, LaTeX, uses
revtex, multicol, epsfig, and amstex style files, to appear in Phys. Rev. E
(Rapid Comm.
- …