All Googly Amplitudes from the B-model in Twistor Space

TL;DR

This paper demonstrates that the D-instanton expansion of the open topological B-model on P^{3|4} can reproduce all googly amplitudes in N=4 super Yang-Mills theory by integrating over moduli spaces of curves.

Contribution

It extends previous work to explicitly compute all n-point googly amplitudes using the B-model in twistor space, confirming the gauge theory results.

Findings

All n-point googly amplitudes are recovered from the B-model approach.

The integral over the moduli space of degree n-3 curves reproduces known gauge theory amplitudes.

Supports the equivalence between the topological B-model and N=4 super Yang-Mills theory.

Abstract

It has recently been proposed that the D-instanton expansion of the open topological B-model on P^{3|4} is equivalent to the perturbative expansion of N=4 super Yang-Mills theory in four dimensions. In this note we extend the results of hep-th/0402016 and recover the gauge theory results for all n-point googly amplitudes by computing the integral over the moduli space of curves of degree n-3 in P^{3|4}.