Critical Behavior of the Marinari-Parisi Model

TL;DR

This paper analyzes the continuum string theory derived from the Marinari-Parisi supersymmetric matrix model, revealing that its world-sheet physics is exotic and differs from known supersymmetric string theories due to disorder in the embedding coordinates.

Contribution

It introduces a novel perspective on the world-sheet behavior of the Marinari-Parisi model, highlighting its unique disorder properties and nonstandard physics.

Findings

World-sheet physics is exotic and distinct from known supersymmetric strings.

Embedding coordinates become disordered on the world-sheet.

Disorder becomes complete only at asymptotic scales due to noncompact embedding time.

Abstract

We consider the continuum string theory corresponding to the Marinari-Parisi supersymmetric matrix model. We argue that the world-sheet physics is exotic, and different from any known supersymmetric string theory. The embedding superspace coordinates become disordered on the world-sheet, but because of the noncompactness of the embedding time the disorder becomes complete only at asymptotic world-sheet scales.