S-wave sector of type IIB supergravity on S^1 \times T^4

TL;DR

This paper reduces type IIB supergravity on S^1 imes T^4 with intersecting D-branes to a two-dimensional dilaton gravity model, revealing various static solutions including black holes, naked singularities, and non-asymptotically flat black holes.

Contribution

It develops a method to analyze the s-wave sector of type IIB supergravity on S^1 imes T^4, deriving static solutions within a two-dimensional dilaton gravity framework.

Findings

Derived general static solutions including black holes and naked singularities.

Extended the application of 2D dilaton gravity techniques to supergravity compactifications.

Identified solutions with non-asymptotically flat geometries.

Abstract

We consider the type IIB supergravity in ten dimensions compactified on S^1 \times T^4, with intersecting one and five D-branes in the compact dimensions. By imposing the spherical symmetry in the resulting five dimensional theory, we further reduce the s-wave sector of the theory to a two dimensional dilaton gravity. Via this construction, the techniques developed for the general two dimensional dilaton gravities are applicable in this context. Specifically, we obtain the bosonic sector general static solutions. In addition to the well-known asymptotically flat black hole solutions, they include solutions with naked singularities and non-asymptotically flat black holes.