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

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

1998-08-13

arxiv.org/abs/hep-th/9808079v1

Phys.Rev.D59:026005,1998

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, harvmac

Scientific paper

10.1103/PhysRevD.59.026005

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.

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