Gauge fields and interactions in matrix string theory

TL;DR

This paper demonstrates that matrix string theory encompasses all N-sheeted cylinder coverings through gauge configurations, linking gauge backgrounds to string diagrams and Riemann surfaces in the large N limit.

Contribution

It reveals that all N-sheeted coverings are represented as gauge configurations in matrix string theory, connecting gauge backgrounds to string interactions on Riemann surfaces.

Findings

All N-sheeted coverings are contained in matrix string theory.

Large N limit yields type IIA conformal field theory on Riemann surfaces.

String diagram sum corresponds to gauge background sum.

Abstract

It is shown that all possible N sheeted coverings of the cylinder are contained in type IIA matrix string theory as non-trivial gauge field configurations. Using these gauge field configurations as backgrounds the large $N$ limit is shown to lead to the type IIA conformal field theory defined on the corresponding Riemann surfaces. The sum over string diagrams is identified as the sum over non-trivial gauge backgrounds of the SYM theory.