D-brane Configurations and Nicolai Map in Supersymmetric Yang-Mills Theory

TL;DR

This paper investigates a supersymmetric matrix model derived from ten-dimensional Yang-Mills theory, deriving the Nicolai map to analyze phase transitions and S-duality preservation in the context of M theory.

Contribution

It introduces a reduced supersymmetric matrix model and derives its Nicolai map, providing insights into phase transitions and dualities in the large-N limit.

Findings

No phase transitions in the large-N limit.

S-duality is preserved in the full eleven-dimensional theory.

The Nicolai map aids in understanding the model's properties.

Abstract

We discuss some properties of a supersymmetric matrix model that is the dimensional reduction of supersymmetric Yang-Mills theory in ten dimensions and which has been recently argued to represent the short-distance structure of M theory in the infinite momentum frame. We describe a reduced version of the matrix quantum mechanics and derive the Nicolai map of the simplified supersymmetric matrix model. We use this to argue that there are no phase transitions in the large-N limit, and hence that S-duality is preserved in the full eleven dimensional theory.