Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-06-14
JHEP 9909 (1999) 001
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, 2 figures
Scientific paper
10.1088/1126-6708/1999/09/001
An initial step is taken in investigating the duality between the near horizon region of a four dimensional extremal Reissner-Nordstrom black hole and the n-particle, N=4 Calogero model as conjectured by Gibbons and Townsend. Specifically we compute the mass spectrum of d=4, N=8 supergravity about the Bertotti-Robinson solution and find the corresponding set of conformal dimensions of states in the dual conformal quantum mechanics. We find that the dual states fill irreducible representations of the supergroup SU(1,1|2), and furthermore transform under various irreducible representations of the group SU(2) \times SU(6) spontaneously broken down from the E_{7(7)} duality group of N=8 supergravity.
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