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

TL;DR

This paper computes the mass spectrum of N=8 supergravity around a specific solution, revealing the structure of dual states in a conformal quantum mechanics framework and their symmetry representations.

Contribution

It provides the first detailed calculation of the mass spectrum in this context, linking supergravity spectra to dual conformal quantum mechanics representations.

Findings

Mass spectrum computed for N=8 supergravity on AdS_2 x S^2.

Dual states form irreducible representations of SU(1,1|2).

States transform under SU(2) x SU(6) representations.

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.