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Discrete spectrum of the graviton in the AdS5 black hole background

1999/08/30 by Richard C. Brower, Samir D. Mathur, Chung-I Tan · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-lat #hep-th

paper · pdf · doi:10.1016/s0550-3213(99)00802-0

published as Nucl.Phys.B574:219-244,2000 · harvmac, 30 pages, i eps-file

arxiv created 1999/08/30 · openalex publication_date 2000/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The discrete spectrum of fluctuations of the metric about an AdS5 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 JPC = 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 (m2=5.4573) associated with the graviton is smaller than the mass of the 0++ state (m2=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.

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