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 AdS_5, and show that it exactly matches the Casimir energy of the dual N=4 super Yang-Mills theory on S^3 x R.

Vijay Balasubramanian

Per Kraus

Communications in Mathematical Physics

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The mission of "Communications in Mathematical Physics" is to provide a high-level forum for works inspired by the foresight and challenges of modern physics, while adhering to the highest mathematical standards.

《Communications in Mathematical Physics》的使命是为受到现代物理学的前瞻性思维和挑战所启发的研究提供一个高水平的交流平台，同时确保满足最高的数学标准。

Category	Quartile
物理与天体物理	1
物理与天体物理, 物理数学物理	1

A Stress Tensor for Anti-de Sitter Gravity

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