18 research outputs found
Coherent state quantization of a particle in de Sitter space
We present a coherent state quantization of the dynamics of a relativistic
test particle on a one-sheet hyperboloid embedded in a three-dimensional
Minkowski space. The group SO_0(1,2) is considered to be the symmetry group of
the system. Our procedure relies on the choice of coherent states of the motion
on a circle. The coherent state realization of the principal series
representation of SO_0(1,2) seems to be a new result.Comment: Journal of Physics A: Mathematical and General, vol. 37, in pres
Second-Order Formalism for 3D Spin-3 Gravity
A second-order formalism for the theory of 3D spin-3 gravity is considered.
Such a formalism is obtained by solving the torsion-free condition for the spin
connection \omega^a_{\mu}, and substituting the result into the action
integral. In the first-order formalism of the spin-3 gravity defined in terms
of SL(3,R) X SL(3,R) Chern-Simons (CS) theory, however, the generalized
torsion-free condition cannot be easily solved for the spin connection, because
the vielbein e^a_{\mu} itself is not invertible. To circumvent this problem,
extra vielbein-like fields e^a_{\mu\nu} are introduced as a functional of
e^a_{\mu}. New set of affine-like connections \Gamma_{\mu M}^N are defined in
terms of the metric-like fields, and a generalization of the Riemann curvature
tensor is also presented. In terms of this generalized Riemann tensor the
action integral in the second-order formalism is expressed. The transformation
rules of the metric and the spin-3 gauge field under the generalized
diffeomorphims are obtained explicitly. As in Einstein gravity, the new
affine-like connections are related to the spin connection by a certain gauge
transformation, and a gravitational CS term expressed in terms of the new
connections is also presented.Comment: 40 pages, no figures. v2:references added, coefficients of eqs in
apppendix D corrected, minor typos also corrected, v3:Version accepted for
publication in Classical and Quantum Gravit
Topology Change in Canonical Quantum Cosmology
We develop the canonical quantization of a midisuperspace model which
contains, as a subspace, a minisuperspace constituted of a
Friedman-Lema\^{\i}tre-Robertson-Walker Universe filled with homogeneous scalar
and dust fields, where the sign of the intrinsic curvature of the spacelike
hypersurfaces of homogeneity is not specified, allowing the study of topology
change in these hypersurfaces. We solve the Wheeler-DeWitt equation of the
midisuperspace model restricted to this minisuperspace subspace in the
semi-classical approximation. Adopting the conditional probability
interpretation, we find that some of the solutions present change of topology
of the homogeneous hypersurfaces. However, this result depends crucially on the
interpretation we adopt: using the usual probabilistic interpretation, we find
selection rules which forbid some of these topology changes.Comment: 23 pages, LaTex file. We added in the conclusion some comments about
path integral formalism and corrected litle misprinting
Hamiltonian Noether theorem for gauge systems and two time physics
The Noether theorem for Hamiltonian constrained systems is revisited. In
particular, our review presents a novel method to show that the gauge
transformations are generated by the conserved quantities associated with the
first class constraints. We apply our results to the relativistic point
particle, to the Friedberg et al. model and, with special emphasis, to two time
physics.Comment: 20 pages, Latex, references added, the "massless" sense of (87) is
clarifie
Super-W(infinity) Asymptotic Symmetry of Higher-Spin AdS(3) Supergravity
We consider (2+1)-dimensional (N, M)-extended higher-spin anti-de Sitter
supergravity and study its asymptotic symmetries. The theory is described by
the Chern-Simons action based on a real, infinite-dimensional higher-spin
superalgebra. We specify consistent boundary conditions on the higher-spin
super-gauge connection corresponding to asymptotically anti-de Sitter
spacetimes. We then determine the residual gauge transformations that preserve
these asymptotic conditions and compute their Poisson bracket algebra. We find
that the asymptotic symmetry is enhanced from the higher-spin superalgebra to
some (N,M)-extended super-W(infinity) nonlinear superalgebra. The latter has
the same classical central charge as pure Einstein gravity. Special attention
is paid to the (1,1)-case. Truncation to the bosonic sector yields the
previously found W(infinity) algebra, while truncation to the underlying
finite-dimensional superalgebra reproduces the N-extended superconformal
algebra (in its nonlinear version for N>2). We discuss string theory
realization of these higher-spin anti-de Sitter supergravity theories as well
as relations to previous treatments of super-W(infinity) in the literature.Comment: References added. (N>2)-Extended supersymmetric models argued to be
rigid with respect to lambda-deformation. Comments on G(3)-case adde
Anisotropic Drag Force from 4D Kerr-AdS Black Holes
Using AdS/CFT we investigate the effect of angular-momentum-induced
anisotropy on the instantaneous drag force of a heavy quark. The dual
description is that of a string moving in the background of a Kerr-AdS black
holes. The system exhibits the expected focussing of jets towards the impact
parameter plane. We put forward that we can use the connection between this
focussing behavior and the angular momentum induced pressure gradient to
extrapolate the pressure gradient correction to the drag force that can be used
for transverse elliptic flow in realistic RHIC. The result is recognizable as a
relativistic pressure gradient force.Comment: 22 pages and 4 figure
Collective Dipole Model of AdS/CFT and Higher Spin Gravity
We formulate a first quantized construction of the AdS_{d+1}/CFT_d
correspondence using the bi-local representation of the free d-dimensional
large N vector model. The earlier reconstruction of AdS_4 higher-spin gravity
provides a scheme where the AdS spacetime (and higher-spin fields) are given by
the composite bi-local fields. The underlying first quantized, world-sheet
picture is extracted in the present work and generalized to any dimension. A
higher-spin AdS particle model is shown to emerge from the collective
bi-particle system of Minkowski particles through a canonical transformation.
As such this construction provides a simple explicit mechanism of the AdS/CFT
correspondence.Comment: 16 pages, no figures; v2: references added; v3: minor change