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

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dc.creatorHorowitz, Gary T.
dc.creatorMyers, Robert C.
dc.date1998-08-13
dc.date.accessioned2026-07-07T12:16:57Z
dc.date.available2026-07-07T12:16:57Z
dc.descriptionWe 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.
dc.description25 pages, harvmac
dc.identifierhttps://arxiv.org/abs/hep-th/9808079
dc.identifierhttp://arxiv.org/abs/hep-th/9808079
dc.identifierPhys.Rev.D59:026005,1998
dc.identifierdoi:10.1103/PhysRevD.59.026005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211968
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe AdS/CFT Correspondence and a New Positive Energy Conjecture for General Relativity
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