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

Finn Larsen; Pedro Lisbao

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

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arxiv 1411.7423 v2 pith:2GJN67H5 submitted 2014-11-26 hep-th

Finn Larsen , Pedro Lisbao This is my paper · ORCID

classification hep-th

keywords gaugefieldsphysicaltimesboundarycomputemodespure

verification ladder T0 review T1 audit T2 compute T3 formal

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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-${1\over 2}$ 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.

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