Killing spinors on supersymmetric P-branes

TL;DR

This paper introduces a class of supersymmetric p-brane solutions in gravity theories with negative cosmological constant, classifying them based on Killing spinors and analyzing specific four-dimensional cases.

Contribution

It proposes a new class of purely bosonic p-brane solutions and provides a detailed classification based on Killing spinors for these configurations.

Findings

Classified p-brane solutions by Killing spinors

Explicit analysis for four-dimensional worldsheet case

Identified conditions for supersymmetry preservation

Abstract

A class of p-brane solutions for supersymmetric gravity theories with negative cosmological constant are proposed and analyzed. The solutions are purely bosonic and contain a worldsheet and a transverse section. The classification relays on the number of intrinsic Killing spinors on the worldsheet and the transverse section. A explicit discussion of the classification is performed for the four dimensional worldsheet case.