18 research outputs found
Supermultiplets of AdS Black Holes in 2+1 Dimensions
We construct super AdS black holes in 2+1 dimensions in terms of Chern Simons
gauge theory of N=(1,1) super AdS group coupled to a (super)source. We take the
source to be a super AdS state specified by its Casimir invariants. We show
that the corresponding space-time is a supermultiplet of AdS space-times
related to each other by supersymmetry transformations. We give explicit
expressions for the masses and the angular momenta of the black holes in a
supermultiplet. With one exception, for N=(1,1) one pair of extremal black
holes can be accommodated in such all-black hole supermultiplets. The
requirement that the source be a unitary representation leads to a discrete
tower of excited states which provide a microscopic model for the super black
hole.Comment: 12 pages, LaTe
The Structure of AdS Black Holes and Chern Simons Theory in 2+1 Dimensions
We study anti-de Sitter black holes in 2+1 dimensions in terms of Chern
Simons gauge theory of anti-de Sitter group coupled to a source. Taking the
source to be an anti-de Sitter state specified by its Casimir invariants, we
show how all the relevant features of the black hole are accounted for. The
requirement that the source be a unitary representation leads to a discrete
tower of states which provide a microscopic model for the black hole.Comment: 17 pages, LaTex. The presentation in Section 5 was improved; other
minor improvements. Final form of the manuscrip
Product Integral Formalism and Non-Abelian Stokes Theorem
We make use of the properties of product integrals to obtain a surface
product integral representation for the Wilson loop operator. The result can be
interpreted as the non-abelian version of Stokes' theorem.Comment: Latex; condensed version of hep-th/9903221, to appear in Jour. Math.
Phy
The Structure of Space-Time Emerging from the Two-Superbody Problem in Chern Simons Supergravity
We show that the exact solution of the two_superbody problem in N=2 Chern
Simons Supergravity in 2+1 dimensions leads to a supermultiplet of space-times.
This supersymmetric space-time is characterized by the two gauge invariant
observables of the super Poincare' group, which may be viewed as the Casimir
invariants of an equivalent one-superbody state. The metric of this space-time
supermultiplet can be cast into the form of the metric for a spinning cone in
which the coordinates do not commute or for a spinning cone with an additional
finite discrete dimension. Some of the interesting features of this universe
and their possible physical implications are discussed in the light of a
corresponding observation by Witten.Comment: 10 pages, LaTe
Non-Vanishing Cosmological Constant , Phase Transitions, And -Dependence Of High Energy Processes
It is pointed out that a collider experiment involves a local contribution to
the energy-momentum tensor, a circumstance which not a common feature of the
current state of the Universe at large characterized by the cosmological
constant . This contribution may be viewed as a change in the
structure of space-time from its large scale form governed by to
one governed by a peculiar to the scale of the experiment. Possible
consequences of this effect are explored by exploiting the asymptotic symmetry
of space-time for non-vanishing and its relation to vacuum energy.Comment: 11 pages; UCTP101.02; last section revised; the version to appear in
Physics Letters
Twisted Kac-Moody Algebras And The Entropy Of AdS Black Hole
We show that an Chern-Simons theory coupled to a
source on a manifold with the topology of a disk correctly describes the
entropy of the AdS black hole. The resulting boundary WZNW theory leads to
two copies of a twisted Kac-Moody algebra, for which the respective Virasoro
algebras have the same central charge as the corresponding untwisted
theory. But the eigenvalues of the respective operators are shifted. We
show that the asymptotic density of states for this theory is, up to
logarithmic corrections, the same as that obtained by Strominger using the
asymptotic symmetry of Brown and Henneaux.Comment: 14 pages, some of the paragraphs in section 4 have been rewritten to
improve the presentation. The results remain unchange