Twists of Supersymmetric Yang-Mills Theory in Topological String Theory

TL;DR

This paper demonstrates that all twists of pure supersymmetric Yang-Mills theory with gauge group GL(N) can be represented as open-string field theories within topological string theory, linking supersymmetric gauge theories to topological string backgrounds.

Contribution

It introduces a novel reinterpretation of supersymmetric Yang-Mills twists as generalized Chern-Simons theories in the context of topological string theory.

Findings

All twists of pure supersymmetric Yang-Mills with GL(N) are realizable as open-string field theories.

Identifies topological string backgrounds corresponding to these Chern-Simons theories.

Provides a unified framework connecting supersymmetric gauge theories and topological string backgrounds.

Abstract

We show that every twist of pure supersymmetric Yang-Mills theory with gauge group GL(N) can be realized as an open-string field theory in topological string theory. Our approach reinterprets twists of supersymmetric Yang-Mills theory as generalized Chern-Simons theories, and identifies topological string backgrounds that produce the corresponding Chern-Simons theories.