Discrete spectrum of the graviton in the AdS(5) black hole background

The discrete spectrum of fluctuations of the metric about an AdS(5) black h ole background are found. These modes are the strong coupling limit of so-c alled glueball states in a dual 3-d Yang-Mills theory with quantum numbers J(PC) = 2(++), 1(-+), 0(++). For the ground state modes, we find the mass r elation m(0(++)) < m(2(++)) < m(1(-+)). Contrary to expectation, the mass o f our new 0(++) state (m(2) = 5.4573) associated with the graviton is small er than the mass of the 0(++) state (m(2) = 11.588) from the dilaton. In fa ct the dilatonic excitations are exactly degenerate with our tensor 2(++) s tates. We find that variational methods gives remarkably accurate mass esti mates for all three low-lying levels while a WKB treatment describes the hi gher modes well. (C) 2000 Elsevier Science B.V. All rights reserved.