Integrable Low Dimensional Theories Describing High Dimensional Branes, Black Holes and Cosmologies

TL;DR

This paper discusses the reduction of high-dimensional supergravity theories to low-dimensional integrable dilaton gravity models, providing explicit solutions for black holes, branes, and cosmological models using Liouville equations.

Contribution

It introduces a new class of integrable 0+1 and 1+1 dimensional dilaton gravity theories coupled to scalar fields with explicit solutions.

Findings

Explicit analytic solutions for black holes and branes.

Reduction of complex supergravity models to solvable Liouville systems.

Application to superstring motivated cosmological models.

Abstract

The reduction of higher dimensional supergravities to low dimensional dilaton gravity theories is outlined. Then a recently proposed new class of integrable theories of 0+1 and 1+1 dimensional dilaton gravity coupled to any number of scalar fields is described in more detail. These models are reducible to systems of independent Liouville equations whose solutions are not independent because they must satisfy the energy and momentum constraints. The constraints are solved, thus giving the explicit analytic solution of the theory in terms of arbitrary chiral fields. In particular, these integrable theories describe spherically symmetric black holes and branes of higher dimensional supergravity theories as well as superstring motivated cosmological models.