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.

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

References in corpus (8)

• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function
• Holographic Description of AdS_2 Black Holes
• The Spectrum of Excitations of Holographic Wilson Loops
• The 1/N correction in the D3-brane description of circular Wilson loop at strong coupling
• Logarithmic Corrections to $N\ge 2$ Black Hole Entropy
• Wilson loops and minimal area surfaces in hyperbolic space
• Comments on AdS_2 Gravity

Cited by in corpus (2)

• Universal Corrections to Black Hole Entropy in $\mathcal{N}\ge 2$ Supergravity
• Near-Extremal Charged Black Holes: Greybody Factors and Evolution