Near horizon data and physical charges of extremal AdS black holes

TL;DR

This paper analyzes the physical charges of five-dimensional extremal AdS black holes using near horizon data, demonstrating that the computed four-dimensional charges match the Page charges, including cases with gauge Chern-Simons terms.

Contribution

It introduces a method to compute and match four-dimensional charges of extremal AdS black holes from near horizon data, including cases with gauge Chern-Simons terms.

Findings

Four-dimensional charges match Page charges in the presence of Chern-Simons terms.

Near horizon analysis applies to various black hole types, including black branes and supersymmetric black holes.

The entropy function formalism effectively computes charges from near horizon data.

Abstract

We compute the physical charges and discuss the properties of a large class of five-dimensional extremal AdS black holes by using the near horizon data. Our examples include baryonic and electromagnetic black branes, as well as supersymmetric spinning black holes. In the presence of the gauge Chern-Simons term, the five-dimensional physical charges are the Page charges. We carry out the near horizon analysis and compute the four-dimensional charges of the corresponding black holes by using the entropy function formalism and show that they match the Page charges.