Deformed Matrix Theories with N=8 and Fivebranes in the PP Wave Background

TL;DR

This paper explores mass-deformed super Yang-Mills quantum mechanics with N=8 supersymmetry in a pp-wave background, revealing a rich vacuum structure including continuous families of supersymmetric solutions and moduli spaces.

Contribution

It generalizes known M(atrix) theory deformations to N=8 SYQM with fewer supersymmetries, uncovering new vacuum structures and moduli spaces related to fivebranes.

Findings

Existence of many supersymmetric vacua with continuous moduli

Vacuum moduli space includes copies of complex projective spaces CP^{k-1}

Rich vacuum structure for multiple fivebranes in the pp-wave background

Abstract

M(atrix) theory is known to be mass-deformed in the pp-wave background and still retains all 16 dynamical supersymmetries. We consider generalization of such deformations on super Yang-Mills quantum mechanics (SYQM) with less supersymmetry. In particular this includes N=8 U(N) SYQM with a single adjoint and any number of fundamental hypermultiplets, which is a pp-wave deformation of DLCQ matrix theory of fivebranes. With k >= 1 fivebranes, we show that a rich vacuum structure exists, with many continuous family of solutions that preserve all dynamical supersymmetries. The vacuum moduli space contains copies of CP^{k-1} of various sizes.