Mass spectrum of N=8 supergravity on AdS_2 \times S^2

Abstract

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.