Charged Randall-Sundrum black holes and N=4 super Yang-Mills in AdS(2)xS(2)

TL;DR

This paper derives exact results for charged black holes in the Randall-Sundrum model, compares their properties with 4D General Relativity, and explores a gravitational dual for N=4 super Yang-Mills theory in AdS(2)xS(2).

Contribution

It provides explicit solutions for charged black holes in the Randall-Sundrum model and establishes a duality with N=4 super Yang-Mills theory in a specific AdS background.

Findings

Good agreement with 4D GR for large black holes

Calculable subleading corrections to entropy

Bulk solution as a dual for N=4 SYM in AdS(2)xS(2)

Abstract

We obtain some exact results for black holes in the Randall-Sundrum model with a single brane. We consider an extreme black hole charged with respect to a Maxwell field on the brane. The near-horizon geometry is determined. The induced metric on the brane and the black hole entropy are compared with the predictions of 4d General Relativity. There is good agreement for large black holes, with calculable subleading corrections. As a separate application, the bulk solution provides a gravitational dual for (strongly coupled, large N) N=4 SYM in AdS(2)xS(2) for arbitrary relative size of AdS(2) and S(2).