BT Worldsheet for Supersymmetric Gauge Theories

TL;DR

This paper extends the BT worldsheet formalism to supersymmetric non-abelian gauge theories with N=1,2,4 supersymmetry, incorporating spinor Grassmann variables and analyzing one-loop coupling renormalization.

Contribution

It introduces a supersymmetric extension of the BT worldsheet formalism, including spinor Grassmann variables, for N=1,2,4 supersymmetric gauge theories.

Findings

Automatically generates correct quartic vertices from cubic vertices.

Successfully extends formalism to multiple supersymmetry cases.

Discusses one-loop coupling renormalization in the formalism.

Abstract

We extend the Bardakci-Thorn (BT) worldsheet formalism to supersymmetric non-abelian gauge theory. Our method covers the cases of N =1,2,4 extended supersymmetry. This task requires the introduction of spinor valued Grassmann variables on the worldsheet analogous to those of the supersymmetric formulation of superstring theory. As in the pure Yang-Mills case, the worldsheet formalism automatically generates the correct quartic vertices from the cubic vertices. We also discuss coupling renormalization to one loop order.