Intersecting Non-extreme p-Branes and Linear Dilaton Background

TL;DR

This paper derives the most general static solutions for intersecting non-extreme p-branes in supergravity, revealing two classes of black brane configurations relevant for dual QFT thermal phases.

Contribution

It provides a comprehensive solution framework for intersecting branes with linear dilaton backgrounds, including conditions for regular, non-singular configurations.

Findings

Solutions reduce to Liouville equations due to intersection rules

Configurations are restricted to asymptotically flat or linear dilaton backgrounds

All solutions describe black branes relevant for QFT duality

Abstract

We construct the general static solution to the supergravity action containing gravity, the dilaton and a set of antisymmetric forms describing the intersecting branes delocalized in the relative transverse dimensions. The solution is obtained by reducing the system to a set of separate Liouville equations (the intersection rules implying the separability); it contains the maximal number of free parameters corresponding to the rank of the differential equations. Imposing the requirement of the absence of naked singularities, we show that the general configurations are restricted to two and only two classes: the usual asymptotically flat intersecting branes, and the intersecting branes some of which are asymptotically flat and some approach the linear dilaton background at infinity. In both cases the configurations are black. These are supposed to be relevant for the description of the thermal phase of the QFT's in the corresponding Domain-Wall/QFT duality.