Charged Dilatonic AdS Black Holes and Magnetic AdS_{D-2} x R^2 Vacua

TL;DR

This paper constructs and analyzes charged dilatonic AdS black holes and magnetic AdS_{D-2} x R^2 vacua in Einstein gravity with U(1) fields, revealing new solutions, their properties, and string/M-theory embeddings.

Contribution

It derives conditions for analytical AdS black holes with two charges, explores their near-horizon geometries, and identifies new magnetic vacua and their string theory intersections.

Findings

Extremal Reissner-Nordstrom black hole as harmonic superposition.

Existence of magnetic AdS_{D-2} x R^2 vacua with various geometries.

Embedding solutions in string and M-theory with non-supersymmetric intersections.

Abstract

We consider D-dimensional Einstein gravity coupled to two U(1) fields and a dilaton with a scalar potential. We derive the condition that the analytical AdS black holes with two independent charges can be constructed. Turning off the cosmological constant, the extremal Reissner-Nordstrom black hole emerges as the harmonic superposition of the two U(1) building blocks. With the non-vanishing cosmological constant, our extremal solutions contain the near-horizon geometry of AdS_2 x R^{D-2} with or without a hyperscaling. We also obtain the magnetic AdS_{D-2} x Y^2 vacua where Y^2 can be R^2, S^2 or hyperbolic 2-space. These vacua arise as the fix points of some super potentials and recover the known supersymmetric vacua when the theory can be embedded in gauged supergravities. The AdS_{D-2} x R^2 vacua are of particular interest since they are dual to some quantum field theories at the lowest Landau level. By studying the embedding of some of these solutions in the string and M-theory, we find that the M2/M5-system with the equal M2 and M5 charges can intersect with another such M2/M5 on to a dyonic black hole. Analogous intersection rule applies also to the D1/D5-system. The intersections are non-supersymmetric but in the manner of harmonic superpositions.