Mass Spectrum of D=11 Supergravity on AdS2 x S2 x T7

TL;DR

This paper calculates the mass spectrum of D=11 supergravity on a specific compactification space, providing insights into the dual conformal quantum mechanics via AdS/CFT correspondence.

Contribution

It presents the first detailed computation of the Kaluza-Klein spectrum on AdS2 x S2 x T7 and organizes it into superconformal algebra representations.

Findings

Mass spectrum arranged into SU(1,1|2) representations

Prediction for dual conformal quantum mechanics spectrum

Insights into near horizon geometry of M-theory black holes

Abstract

We compute the Kaluza-Klein mass spectrum of the D=11 supergravity compactified on AdS2 x S2 x T7 and arrange it into representations of the SU(1,1|2) superconformal algebra. This geometry arises in M theory as the near horizon limit of a D=4 extremal black-hole constructed by wrapping four groups of M-branes along the T7. Via AdS/CFT correspondence, our result gives a prediction for the spectrum of the chiral primary operators in the dual conformal quantum mechanics yet to be formulated.