The AdS/CFT Correspondence and a New Positive Energy Conjecture for General Relativity

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We examine the AdS/CFT correspondence when the gauge theory is considered on a compactified space with supersymmetry breaking boundary conditions. We find that the corresponding supergravity solution has a negative energy, in agreement with the expected negative Casimir energy in the field theory. Stability of the gauge theory would imply that this supergravity solution has minimum energy among all solutions with the same boundary conditions. Hence we are lead to conjecture a new positive energy theorem for asymptotically locally Anti-de Sitter spacetimes. We show that the candidate minimum energy solution is stable against all quadratic fluctuations of the metric.
25 pages, harvmac

Keywords

High Energy Physics - Theory, General Relativity and Quantum Cosmology

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/211968

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/9808079
 http://arxiv.org/abs/hep-th/9808079
 Phys.Rev.D59:026005,1998
 doi:10.1103/PhysRevD.59.026005

Collections

arXiv