A Stress Tensor for Anti-de Sitter Gravity View Full Text


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Article Info

DATE

1999-12

AUTHORS

Vijay Balasubramanian, Per Kraus

ABSTRACT

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 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document} super Yang–Mills theory on S3×R. More... »

PAGES

413-428

References to SciGraph publications

  • 1998-07-30. The holographic Weyl anomaly in JOURNAL OF HIGH ENERGY PHYSICS
  • 1985-09. Asymptotically anti-de Sitter spaces in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1999-04. The Large-N Limit of Superconformal Field Theories and Supergravity in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/s002200050764

    DOI

    http://dx.doi.org/10.1007/s002200050764

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1023248422


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