Orbifolding the Twistor String

TL;DR

This paper explores orbifolding in the fermionic directions of the supermanifold CP(3|4) within the topological B-model, leading to new superconformal quiver theories with reduced supersymmetry and analyzing their instanton expansions and amplitudes.

Contribution

It introduces a novel approach to orbifolding in the fermionic directions of CP(3|4), deriving new superconformal quiver theories with less supersymmetry.

Findings

Derived N=1 and N=2 superconformal quiver theories from orbifolding

Computed D1 instanton expansion and specific amplitudes

Showed reduction of R-symmetry and supersymmetry in the process

Abstract

The D-instanton expansion of the topological B-model on the supermanifold CP(3|4) reproduces the perturbative expansion of N=4 Super Yang-Mills theory. In this paper we consider orbifolds in the fermionic directions of CP(3|4). This operation breaks the SU(4) R-symmetry group, reducing the amount of supersymmetry of the gauge theory. As specific examples we take N=1 and N=2 orbifolds and obtain the corresponding superconformal quiver theories. We discuss the D1 instanton expansion in this context and explicitly compute some amplitudes.