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

Abstract

A topological A-model constructed from supertwistor variables and a worldsheet U(1) gauge field was recently proposed to describe the $Ad{S}_5\times S^5$ 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.

6 pages harvmac