Stability of the quantum supermembrane in a manifold with boundary

TL;DR

This paper investigates how boundary effects can stabilize a supersymmetric membrane, potentially resulting in a discrete spectrum for the light-cone Hamiltonian, with explicit analysis in a regularized matrix model.

Contribution

It introduces a boundary-induced stabilization mechanism for supermembranes and analyzes its implications within the $SU(N)$ matrix model framework.

Findings

Boundary effects can stabilize supersymmetric membranes.

The light-cone Hamiltonian may have a discrete spectrum due to boundary stabilization.

Explicit analysis performed in the regularized $SU(N)$ matrix model.

Abstract

We point out an effect which may stabilize a supersymmetric membrane moving on a manifold with boundary, and lead to a light-cone Hamiltonian with a discrete spectrum of eigenvalues. The analysis is carried out explicitly for a closed supermembrane in the regularized $SU(N)$ matrix model version.