p-Brane Solutions in Diverse Dimensions

TL;DR

This paper derives a general class of p-brane solutions in arbitrary dimensions, unifying various known superstring solutions through a flexible Lagrangian framework involving gravity, dilaton, and antisymmetric tensors.

Contribution

It introduces a generic Lagrangian approach to find isotropic p-brane solutions with adjustable parameters, encompassing previously known superstring solutions.

Findings

Derived a general p-brane solution with four parameters.

Identified conditions where solutions match known superstring configurations.

Provided a framework for exploring diverse p-brane geometries.

Abstract

A generic Lagrangian, in arbitrary spacetime dimension, describing the interaction of a graviton, a dilaton and two antisymmetric tensors is considered. An isotropic p-brane solution consisting of three blocks and depending on four parameters in the Lagrangian and two arbitrary harmonic functions is obtained. For specific values of parameters in the Lagrangian the solution may be identified with previously known superstring solutions.