Instanton Solutions of the Topological A-model Dual to Free Super-Yang-Mills

TL;DR

This paper constructs holomorphic instanton solutions in a topological A-model based on supertwistor variables, providing insights into the duality between superstring theory on $AdS_5\times S^5$ at zero radius and free N=4 super-Yang-Mills.

Contribution

It introduces explicit supertwistor instanton solutions in a topological A-model, linking worldsheet gauge fields to Strebel differentials, advancing the understanding of the duality at zero radius.

Findings

Holomorphic instanton solutions constructed for supertwistor variables.

Identification of the U(1) gauge field with the square-root of the Strebel differential.

Insights into the superstring and super-Yang-Mills duality at zero radius.

Abstract

A topological A-model constructed from supertwistor variables and a worldsheet U(1) gauge field was recently proposed to describe the $AdS_5\times S^5$ superstring at zero radius which is dual to free N=4 d=4 super-Yang-Mills. In this note, holomorphic worldsheet instanton solutions of the supertwistor variables are constructed where the U(1) worldsheet gauge field is identified with the square-root of the Strebel differential that describes the ribbon graph on the worldsheet.