Matrix Model for Yang-Mills Interactions

TL;DR

This paper introduces a supersymmetric matrix model linking Yang-Mills interactions, topological strings, and two-dimensional Yang-Mills theory, providing new insights into the large N limit and light-cone gauge dynamics.

Contribution

It presents a novel matrix model with  supersymmetry that connects topological string theory and 2D Yang-Mills, offering new perspectives on gauge theories and their large N behavior.

Findings

Establishes a relation between the matrix model and topological YM2.

Provides a new understanding of the  limit in gauge theories.

Proposes a quantum matrix theory for light-cone gauge dynamics.

Abstract

We introduce a $N_c\times N_c$ matrix model with $\mathcal{N}=2$ supersymmetries and show its relation to the topological rigid string and the topological YM$_2$. This allows to connect the latter two theories directly. Moreover the construction leads to a new insight in the \ninfty limit. Finally a quantum mechanical matrix theory is proposed which may describe light-cone (light-front) dynamics of gauge fields.