Matrix Theory of pp Waves

TL;DR

This paper explores the Matrix Theory for pp wave backgrounds, highlighting new supersymmetric solutions that correspond to variously shaped branes, expanding understanding of brane configurations in these geometries.

Contribution

It introduces novel supersymmetric solutions in Matrix Theory for pp waves, revealing unexpected brane shapes like ellipsoidal, paraboloidal, and hyperboloidal forms.

Findings

Discovery of new supersymmetric brane solutions

Identification of nontrivial brane geometries in Matrix Theory

Enhanced understanding of brane configurations in pp wave backgrounds

Abstract

The Matrix Theory that has been proposed for various pp wave backgrounds is discussed. Particular emphasis is on the existence of novel nontrivial supersymmetric solutions of the Matrix Theory. These correspond to branes of various shapes (ellipsoidal, paraboloidal, and possibly hyperboloidal) that are unexpected from previous studies of branes in pp wave geometries.