1,768 research outputs found
Statistical Hair on Black Holes
The Bekenstein-Hawking entropy for certain BPS-saturated black holes in
string theory has recently been derived by counting internal black hole
microstates at weak coupling. We argue that the black hole microstate can be
measured by interference experiments even in the strong coupling region where
there is clearly an event horizon. Extracting information which is naively
behind the event horizon is possible due to the existence of statistical
quantum hair carried by the black hole. This quantum hair arises from the
arbitrarily large number of discrete gauge symmetries present in string theory.Comment: 11 pages, harvmac, minor addition
Putting an Edge to the Poisson Bracket
We consider a general formalism for treating a Hamiltonian (canonical) field
theory with a spatial boundary. In this formalism essentially all functionals
are differentiable from the very beginning and hence no improvement terms are
needed. We introduce a new Poisson bracket which differs from the usual
``bulk'' Poisson bracket with a boundary term and show that the Jacobi identity
is satisfied. The result is geometrized on an abstract world volume manifold.
The method is suitable for studying systems with a spatial edge like the ones
often considered in Chern-Simons theory and General Relativity. Finally, we
discuss how the boundary terms may be related to the time ordering when
quantizing.Comment: 36 pages, LaTeX. v2: A manifest formulation of the Poisson bracket
and some examples are added, corrected a claim in Appendix C, added an
Appendix F and a reference. v3: Some comments and references adde
Dual Brane Pairs, Chains and the Bekenstein-Hawking Entropy
A proposal towards a microscopic understanding of the Bekenstein-Hawking
entropy for D=4 spacetimes with event horizon is made. Since we will not rely
on supersymmetry these spacetimes need not be supersymmetric. Euclidean
D-branes which wrap the event horizon's boundary will play an important role.
After arguing for a discretization of the Euclidean D-brane worldvolume based
on the worldvolume uncertainty relation, we count chainlike excitations on the
worldvolume of specific dual Euclidean brane pairs. Without the need for
supersymmetry it is shown that one can thus reproduce the D=4
Bekenstein-Hawking entropy and its logarithmic correction.Comment: 14 pages, 1 figur
Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
The symmetry algebra of asymptotically flat spacetimes at null infinity in
three dimensions is the semi-direct sum of the infinitesimal diffeomorphisms on
the circle with an abelian ideal of supertranslations. The associated charge
algebra is shown to admit a non trivial classical central extension of Virasoro
type closely related to that of the anti-de Sitter case.Comment: 4 sign mistakes due to a change of conventions are corrected in
section 2, none of the conclusions are affected, takes precedence over
published version, including corrigendu
Spinor two-point functions and Peierls bracket in de Sitter space
This paper studies spinor two-point functions for spin-1/2 and spin-3/2
fields in maximally symmetric spaces such as de Sitter spacetime, by using
intrinsic geometric objects. The Feynman, positive- and negative-frequency
Green functions are then obtained for these cases, from which we eventually
display the supercommutator and the Peierls bracket under such a setting in
two-component-spinor language.Comment: 22 pages, Latex. In the final version, the presentation has been
improve
Rudiments of Holography
An elementary introduction to Maldacena's AdS/CFT correspondence is given,
with some emphasis in the Fefferman-Graham construction. This is based on
lectures given by one of us (E.A.) at the Universidad Autonoma de Madrid.Comment: 60 pages, additional misprints corrected, references adde
What We Don't Know about BTZ Black Hole Entropy
With the recent discovery that many aspects of black hole thermodynamics can
be effectively reduced to problems in three spacetime dimensions, it has become
increasingly important to understand the ``statistical mechanics'' of the
(2+1)-dimensional black hole of Banados, Teitelboim, and Zanelli (BTZ). Several
conformal field theoretic derivations of the BTZ entropy exist, but none is
completely satisfactory, and many questions remain open: there is no consensus
as to what fields provide the relevant degrees of freedom or where these
excitations live. In this paper, I review some of the unresolved problems and
suggest avenues for their solution.Comment: 24 pages, LaTeX, no figures; references added, brief discussion of
relation to string theory added; to appear in Class. Quant. Gra
- âŠ