Discrete Spectrum of the Graviton in the $AdS^5$ Black Hole Background

Richard C. Brower; Samir D. Mathur; Chung-I Tan

doi:10.1016/S0550-3213(99)00802-0

paper

Discrete Spectrum of the Graviton in the $A d S^{5}$ Black Hole Background

arXiv:hep-th/9908196 · doi:10.1016/S0550-3213(99)00802-0

Abstract

The discrete spectrum of fluctuations of the metric about an $A d S^{5}$ black hole background are found. These modes are the strong coupling limit of so called glueball states in a dual 3-d Yang-Mills theory with quantum numbers $J^{P C} = 2^{++}, 1^{-+}, 0^{++}$ . For the ground state modes, we find the mass relation: $m (0^{++}) < m (2^{++}) < m (1^{-+})$ . Contrary to expectation, the mass of our new $0^{++}$ state ( $m^{2} = 5.4573$ ) associated with the graviton is smaller than the mass of the $0^{++}$ state ( $m^{2} = 11.588$ ) from the dilaton. In fact the dilatonic excitations are exactly degenerate with our tensor $2^{++}$ states. We find that variational methods gives remarkably accurate mass estimates for all three low-lying levels while a WKB treatment describes the higher modes well.

arXiv commentharvmac, 30 pages, i eps-file

Discrete Spectrum of the Graviton in the $A d S^{5}$ Black Hole Background

Abstract

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Discrete Spectrum of the Graviton in the AdS5 Black Hole Background

Abstract

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Cited by in corpus (29)

Discrete Spectrum of the Graviton in the $A d S^{5}$ Black Hole Background