M-theory on Less Supersymmetric PP-Waves

TL;DR

This paper explores M-theory on less supersymmetric pp-wave backgrounds, analyzing the supersymmetric Yang-Mills matrix model, its superalgebra, vacuum equations, and the variable ground state energy depending on parameters.

Contribution

It provides a detailed study of the supersymmetric Yang-Mills matrix dynamics for M-theory on fractionally supersymmetric pp-waves, including superalgebra and vacuum solutions.

Findings

Ground state energy can be zero, positive, or negative.

Superalgebra and vacuum equations are explicitly derived.

The energy depends on specific parameters of the model.

Abstract

There are fractionally supersymmetric pp-waves in 11 dimensional supergravity. We study the corresponding supersymmetric Yang-Mills matrix dynamics for M-theory and find its superalgebra and vacuum equations. We show that the ground state energy of the Hamiltonian with nontrivial dynamical superysmmetry can be zero, positive or negative depending on parameters.