Matrix Strings in pp-wave backgrounds from deformed Super Yang-Mills Theory

TL;DR

This paper develops matrix models for strings and particles in pp-wave backgrounds by deforming super Yang-Mills theories and performing dimensional reduction, introducing new models with extended supersymmetry.

Contribution

It introduces a new class of matrix models for strings and particles in pp-wave backgrounds derived from deformations of super Yang-Mills theories.

Findings

New matrix string models for ten-dimensional pp-wave backgrounds.

Generalized supernumerary supersymmetric models for particles.

Discussion of a related deformation of the IKKT matrix model.

Abstract

We formulate matrix models for strings in ten dimensional pp-wave backgrounds and for particles in eleven dimensional ones. This is done by first characterizing the deformations of ten dimensional {\cal N}=1 SYM which are induced by a constant bispinorial coupling $\int \bar\Psi H\Psi$ plus a minimal purely bosonic completition and then by the appropriate dimensional reduction. We find a whole class of new models for the matrix strings and a generalization of the supernumerary supersymmetric models as far as the matrix theory for particles is concerned. A companion deformation of the IKKT matrix model is also discussed.