Non-extremal Intersecting p-branes in Various Dimensions

TL;DR

This paper constructs non-extremal intersecting p-brane solutions in various dimensions, demonstrating that they follow harmonic superposition, satisfy S-duality, and obey similar intersection rules as extremal branes, using an algebraic method and modified conditions.

Contribution

It extends the algebraic solution method to non-extremal p-branes, showing they obey the same intersection rules and dualities as extremal cases, with a justified deformation approach.

Findings

Non-extremal solutions follow harmonic superposition rule.

S-duality applies to non-extremal p-branes.

Intersection conditions are consistent with extremal branes.

Abstract

Non-extremal intersecting p-brane solutions of gravity coupled with several antisymmetric fields and dilatons in various space-time dimensions are constructed. The construction uses the same algebraic method of finding solutions as in the extremal case and a modified "no-force" conditions. We justify the "deformation" prescription. It is shown that the non-extremal intersecting p-brane solutions satisfy harmonic superposition rule and the intersections of non-extremal p-branes are specified by the same characteristic equations for the incidence matrices as for the extremal p-branes. We show that S-duality holds for non-extremal p-brane solutions. Generalized T-duality takes place under additional restrictions to the parameters of the theory which are the same as in the extremal case.