An approach to the classification of p-brane solitons

TL;DR

This paper reviews recent methods for constructing and classifying p-brane solutions in maximal supergravity theories across various dimensions, analyzing their supersymmetry properties and including diverse types like elementary, solitonic, dyonic, and multi-scalar p-branes.

Contribution

It provides a comprehensive classification framework for p-brane solutions in supergravity, including explicit supersymmetry analysis and covering multiple solution types.

Findings

Classification of p-brane solutions in all dimensions 4 to 11.

Explicit analysis of residual supersymmetry via og matrix eigenvalues.

Includes special cases like strings and black holes.

Abstract

We give a review of some recent work on the construction and classification of $p$-brane solutions in maximal supergravity theories in all dimensions $4\le D\le 11$. These solutions include isotropic elementary and solitonic $p$-branes, dyonic $p$-branes, and multi-scalar $p$-branes. These latter two categories include massless strings and black holes as special cases. For all the solutions, we analyse their residual unbroken supersymmetry by means of an explicit construction of the eigenvalues of the \bog matrix, defined as the anticommutator of the conserved supercharges.