Marginal Deformations of Tree-Level N=4 SYM from Twistor String Theory

TL;DR

This paper explores how marginal deformations of N=4 Super Yang-Mills theory can be understood through twistor string theory by introducing non-anticommutativity in the supertwistor space, extending the twistor amplitude prescription.

Contribution

It generalizes the twistor string approach to include superconformal gauge theories arising from marginal deformations of N=4 SYM, via non-anticommutative fermionic directions.

Findings

Extended twistor prescription for deformed theories

Illustrated with simple amplitude examples

Connected deformations to non-anticommutativity in twistor space

Abstract

The topological B-model with target the supertwistor space CP(3|4) is known to describe perturbative amplitudes of N=4 Super Yang-Mills theory. We review the extension of this correspondence to the superconformal gauge theories that arise as marginal deformations of N=4 by considering the effects of turning on a certain closed string background, which results in non-anticommutativity in the fermionic directions of CP(3|4). We generalise the twistor string prescription for amplitudes to this case and illustrate it with some simple examples.