Supersymmetric Black Holes from Toda Theories

TL;DR

This paper demonstrates that a specific nonabelian Toda theory related to the Lie superalgebra osp(2|4) can model black hole backgrounds, linking integrable systems to gravitational solutions.

Contribution

It establishes a connection between Toda theories associated with Lie superalgebras and black hole metrics, extending previous work on nonabelian Toda systems and black holes.

Findings

The osp(2|4) Toda system models black hole backgrounds.

The even sector reduces to a solvable conformal theory with black hole features.

Provides a new integrable approach to studying black hole geometries.

Abstract

On the example of nonabelian Toda type theory associated with the Lie superalgebra $osp(2|4)$ we show that this integrable dynamical system is relevant to a black hole background metric in the corresponding target space. In the even sector the model under consideration reduces to the exactly solvable conformal theory (nonabelian $B_2$ Toda system) in the presence of a black hole recently proposed in the article "Black holes from non-abelian Toda theories" by the last two authors (hep-th 9203039).