On Zero-Mass Ground States in Super-Membrane Matrix Models

TL;DR

This paper investigates super-membrane matrix models and demonstrates that the simplest model lacks a normalizable zero-mass ground state, highlighting limitations in the mass spectrum structure.

Contribution

It provides a proof that the simplest super-membrane matrix model does not admit a normalizable zero-mass ground state.

Findings

No normalizable zero-mass ground state exists in the simplest matrix model.

The mass spectrum is confined to positive values, with no zero-mass ground state.

Supports the understanding of mass spectrum limitations in super-membrane matrix models.

Abstract

We recall a formulation of super-membrane theory in terms of certain matrix models. These models are known to have a mass spectrum given by the positive half-axis. We show that, for the simplest such matrix model, a normalizable zero-mass ground state does not exist.