Quantum Corrections to Supergravity on AdS${}_2\times S^2$

Abstract

We compute the off-shell spectrum of supergravity on AdS${}_2\times S^2$ by explicit diagonalization of the equations of motion for an effective AdS${}_2$ theory where all fields are dualized to scalars and spin-$\frac{1}{2}$ fermions. Classifying all bulk modes as physical, gauge violating, and pure gauge let us identify boundary modes as physical fields on $S^2$ that are formally pure gauge but with gauge function that is non-normalizable on AdS${}_2$. As an application we compute the leading quantum correction to AdS${}_2\times S^2$ as a sum over physical fields including boundary states.

arXiv comment46 pages + appendices. V2 has minor typos fixed, and an extra appendix

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