The Yang-Mills String as the A-Model on the Twistor Space of the Complex Two-Dimensional Projective Space with Fluxes and Wilson Loops: the Beta Function

TL;DR

This paper proposes a string theory dual to a sector of large-N Yang-Mills theory, modeled as an A-model on twistor space with fluxes and Wilson loops, and demonstrates that their beta functions match.

Contribution

It introduces a novel A-model framework on twistor space that captures the large-N Yang-Mills beta function through string theory duality.

Findings

The target-space beta function of the A-model matches the large-N Yang-Mills beta function.

The model involves N-Lagrangian D-branes on twistor space with fluxes and Wilson loops.

Establishes a new connection between string theory and gauge theory via the beta function.

Abstract

We argue that the string theory dual to a certain sector of the four-dimensional Yang-Mills theory at large-N is the A-model wrapping N-Lagrangian D-branes on the twistor space of the complex two-dimensional projective space, with certain fluxes and Wilson loops, by finding that the target-space beta function of this A-model coincides with the large-N beta function of the Yang-Mills theory