Supergravity spectrum on AdS_2 x S^2
Jeremy Michelson, Marcus Spradlin
TL;DR
This paper computes the Kaluza-Klein spectrum of N=2 supergravity on AdS_2 x S^2, revealing infinite towers of representations and unique two-dimensional modes with no bulk degrees of freedom.
Contribution
It provides the explicit spectrum of N=2, D=4 supergravity on AdS_2 x S^2, including analysis of boundary modes and novel bulk modes without gauge symmetry.
Findings
Spectrum consists of two infinite SU(1,1|2) towers.
Presence of boundary modes similar to higher dimensions.
Existence of bulk modes with no on-shell degrees of freedom.
Abstract
The Kaluza-Klein spectrum of N=2, D=4 supergravity compactified on AdS_2 x S^2 is found and shown to consist of two infinite towers of SU(1,1|2) representations. In addition to `pure gauge' modes living on the boundary of AdS which are familiar from higher dimensional cases, in two dimensions there are modes (e.g. massive gravitons) which enjoy no gauge symmetry yet nevertheless have no on-shell degrees of freedom in the bulk. We discuss these two-dimensional subtleties in detail.
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