A Stress Tensor for Anti-de Sitter Gravity
- Cite this article as:
- Balasubramanian, V. & Kraus, P. Comm Math Phys (1999) 208: 413. doi:10.1007/s002200050764
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We propose a procedure for computing the boundary stress tensor associated with a gravitating system in asymptotically anti-de Sitter space. Our definition is free of ambiguities encountered by previous attempts, and correctly reproduces the masses and angular momenta of various spacetimes. Via the AdS/CFT correspondence, our classical result is interpretable as the expectation value of the stress tensor in a quantum conformal field theory. We demonstrate that the conformal anomalies in two and four dimensions are recovered. The two dimensional stress tensor transforms with a Schwarzian derivative and the expected central charge. We also find a nonzero ground state energy for global AdS5, and show that it exactly matches the Casimir energy of the dual \(\) super Yang–Mills theory on S3×R.