Black holes and membranes in AdS_7

TL;DR

This paper explores black hole solutions and membrane configurations in seven-dimensional anti-de Sitter space within gauged supergravity, revealing supersymmetry properties and self-duality equations relevant for theoretical physics and holography.

Contribution

It constructs two-charge black hole solutions in 7D gauged supergravity with U(1)^2 symmetry and analyzes membrane solutions related to the three-form potential.

Findings

Two-charge black holes preserve 1/2 and 1/4 supersymmetry.

Insights into the self-duality equation for the three-form potential.

Construction of membrane solutions in AdS_7 backgrounds.

Abstract

We investigate maximal gauged supergravity in seven dimensions and some of its solitonic solutions. By focusing on a truncation of the gauged SO(5) R-symmetry group to its U(1)^2 Cartan subgroup, we construct general two charge black holes that are asymptotically anti-de Sitter. We demonstrate that 1- and 2-charge black holes preserve 1/2 and 1/4 of the supersymmetries respectively. Additionally, we examine the odd-dimensional self-duality equation governing the three-form potential transforming as the 5 of SO(5), and provide some insight on the construction of membrane solutions in anti-de Sitter backgrounds.