A Deformation of Twistor Space and a Chiral Mass Term in N=4 Super Yang-Mills Theory

TL;DR

This paper explores a specific deformation of super twistor space that preserves certain symmetries and introduces a chiral mass term in N=4 super Yang-Mills theory, analyzing its effects on scattering amplitudes.

Contribution

It provides a detailed analysis linking a super twistor space deformation to a chiral mass term in N=4 SYM and computes related scattering amplitudes.

Findings

Scattering amplitudes are supported on holomorphic curves in the deformed twistor space.

The deformation preserves the Poincare subgroup of PSL(4|4).

The proposed correspondence between twistor space deformation and mass term is supported by amplitude calculations.

Abstract

Super twistor space admits a certain (super) complex structure deformation that preserves the Poincare subgroup of the symmetry group PSL(4|4) and depends on 10 parameters. In a previous paper [hep-th/0502076], it was proposed that in twistor string theory this deformation corresponds to augmenting N=4 super Yang-Mills theory by a mass term for the left-chirality spinors. In this paper we analyze this proposal in more detail. We calculate 4-particle scattering amplitudes of fermions, gluons and scalars and show that they are supported on holomorphic curves in the deformed twistor space.