Comments on AdS_2 Gravity

Abstract

We revisit some properties of AdS${}_2$ Einstein-Maxwell gravity with the aim of reconciling apparently conflicting results in prior literature. We show that the two dimensional theory can be obtained as a dimensional reduction of the three dimensional Einstein gravity with the CSS boundary condition. In general, this theory on AdS${}_2$ can be viewed as an effective theory of the near horizon geometry of a (near-)extremal black hole. We provide an interpretation of our results in terms of the microscopic description of an extremal black hole.

24 pages

References in corpus (9)

• Warped AdS_3 Black Holes
• Near-horizon symmetries of extremal black holes
• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• Semi-classical central charge in topologically massive gravity
• No Dynamics in the Extremal Kerr Throat
• Warped Conformal Field Theory as Lower Spin Gravity
• Another Realization of Kerr/CFT Correspondence
• Two Virasoro symmetries in stringy warped AdS${}_3$
• New Near Horizon Limit in Kerr/CFT

Cited by in corpus (1)

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