Non-extremal branes

TL;DR

This paper introduces a variable system for supergravity equations that makes electric-magnetic duality explicit, enabling automatic construction of dual branes, including new non-extremal (p, q)-strings in Type-IIB String Theory.

Contribution

It provides a novel variable framework for supergravity that simplifies duality transformations and constructs new non-extremal brane solutions without solving additional equations.

Findings

Explicit construction of non-extremal (p, q)-strings in Type-IIB.

Automatic derivation of dual branes via variable transformation.

General characterization of double-extremal supergravity brane solutions.

Abstract

We prove that for arbitrary black brane solutions of generic Supergravities there is an adapted system of variables in which the equations of motion are exactly invariant under electric-magnetic duality, i.e. the interchange of a given extended object by its electromagnetic dual. We obtain thus a procedure to automatically construct the electromagnetic dual of a given brane without needing to solve any further equation. We apply this procedure to construct the non-extremal (p, q)-string of Type-IIB String Theory (new in the literature), explicitly showing how the dual (p, q)-five-brane automatically arises in this construction. In addition, we prove that the system of variables used is suitable for a generic characterization of every double-extremal Supergravity brane solution, which we perform in full generality.