Four-dimensional supersymmetric dyonic black holes in eleven-dimensional supergravity

TL;DR

This paper constructs explicit 4D supersymmetric dyonic black hole solutions within 11D supergravity compactified on a 7-torus, linking them to string theory configurations and symmetry transformations.

Contribution

It provides explicit forms of dyonic black hole solutions with diagonal internal metrics and relates them to more general solutions via symmetry transformations.

Findings

Explicit dyonic black hole solutions in 11D supergravity

Relation to string theory configurations through field transformations

Connection to solutions with general internal metrics

Abstract

A class of 4-dimensional supersymmetric dyonic black hole solutions that arise in an effective 11-dimensional supergravity compactified on a 7-torus is presented. We give the explicit form of dyonic solutions with diagonal internal metric, associated with the Kaluza-Klein sector as well as the three-form field, and relate them to a class of solutions with a general internal metric by imposing a subset of $SO(7)\subset E_7$ transformations. We also give the field transformations which relate the above configurations to 4-dimensional ground state configurations of Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz sector of type-IIA strings on a 6-torus.