Three-block p-branes in various dimensions

TL;DR

This paper presents a new class of isotropic p-brane solutions in arbitrary dimensions, consisting of three blocks, and discusses their relation to known solutions, including applications to D-branes and black hole entropy in ten dimensions.

Contribution

It introduces a novel three-block p-brane solution framework in arbitrary dimensions, expanding the understanding of p-brane configurations and their connections to established models.

Findings

Derived a general isotropic p-brane solution with three blocks

Connected the new solution to known p-brane solutions in specific dimensions

Applied the solution to D-brane models and black hole entropy calculations

Abstract

It is shown that a Lagrangian, describing the interaction of the gravitation field with the dilaton and the antisymmetric tensor in arbitrary dimension spacetime, admits an isotropic p-brane solution consisting of three blocks. Relations with known p-brane solutions are discussed. In particular, in ten-dimensional spacetime the three-block p-brane solution is reduced to the known solution, which recently has been used in the D-brane derivation of the black hole entropy.