Anti-de Sitter Black Holes in Gauged N=8 Supergravity

TL;DR

This paper introduces new anti-de Sitter black hole solutions in gauged N=8 supergravity, exploring their properties, supersymmetry preservation, and relation to M-theory compactifications, revealing differences from known solutions.

Contribution

It provides novel non-extremal and extremal black hole solutions in gauged N=8 supergravity with detailed supersymmetry analysis and insights into their higher-dimensional origins.

Findings

Found non-extremal 1-4 charge solutions with varying supersymmetry preservation.

Identified extremal solutions that may correspond to the S^7 Kaluza-Klein spectrum.

Discovered no static multi-center solutions in contrast to T^7 compactification.

Abstract

We present new anti-de Sitter black hole solutions of gauged N=8, SO(8) supergravity, which is the massless sector of the AdS_4\times S^7 vacuum of M-theory. By focusing on the U(1)^4 Cartan subgroup, we find non-extremal 1, 2, 3 and 4 charge solutions. In the extremal limit, they may preserve up to 1/2, 1/4, 1/8 and 1/8 of the supersymmetry, respectively. In the limit of vanishing SO(8) coupling constant, the solutions reduce to the familiar black holes of the M_4\times T^7 vacuum, but have very different interpretation since there are no winding states on S^7 and no U-duality. In contrast to the T^7 compactification, moreover, we find no static multi-center solutions. Also in contrast, the S^7 fields appear "already dualized" so that the 4 charges may be all electric or all magnetic rather than 2 electric and 2 magnetic. Curiously, however, the magnetic solutions preserve no supersymmetries. We conjecture that a subset of the extreme electric black holes preserving 1/2 the supersymmetry may be identified with the S^7 Kaluza-Klein spectrum, with the non-abelian SO(8) quantum numbers provided by the fermionic zero modes.