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Graviton multipoint functions at the AdS boundary

Ram Brustein1 and A. J. M. Medved2

  • 1Department of Physics, Ben-Gurion University, Beer-Sheva 84105, Israel
  • 2Department of Physics and Electronics, Rhodes University, Grahamstown 6140, South Africa

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Phys. Rev. D 87, 024005 – Published 2 January, 2013

DOI: https://doi.org/10.1103/PhysRevD.87.024005

Abstract

The gauge-gravity duality can be used to relate connected multipoint graviton functions to connected multipoint correlation functions of the stress tensor of a strongly coupled fluid. Here, we show how to construct the connected graviton functions for a particular kinematic regime that is ideal for discriminating between different gravitational theories, in particular between Einstein theory and its leading-order string theory correction. Our analysis begins with the one-particle irreducible graviton amplitudes in an anti-de Sitter black brane background. We show how these can be used to calculate the connected graviton functions and demonstrate that the two types of amplitudes agree in some cases. It is then asserted on physical grounds that this agreement persists in all cases for both Einstein gravity and its leading-order correction. This outcome implies that the corresponding field-theory correlation functions can be read off directly from the bulk Lagrangian, just as can be done for the ratio of the shear viscosity to the entropy density.

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See Also

Graviton n-point functions for UV-complete theories in anti-de Sitter space

Ram Brustein and A. J. M. Medved
Phys. Rev. D 85, 084028 (2012)

Article Text

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Outline

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Phys. Rev. D 87, 024005– Published 2 January, 2013
  • Received 1 November 2012

© 2013 American Physical Society

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