Two Loop Renormalization of Massive (p,q) Supersymmetric Sigma Models

TL;DR

This paper computes the two-loop beta-functions of massive (p,q) supersymmetric sigma models, explores conditions for finiteness, and examines supersymmetry breaking and UV behavior.

Contribution

It provides the first two-loop calculations of beta-functions for massive (p,q) supersymmetric sigma models and analyzes their finiteness and supersymmetry breaking conditions.

Findings

Beta-functions calculated to two loops.

Conditions for model finiteness discussed.

Potential for perturbative supersymmetry breaking analyzed.

Abstract

We calculate the beta-functions of the general massive (p,q) supersymmetric sigma model to two loop order using (1,0) superfields. The conditions for finiteness are discussed in relation to (p,q) supersymmetry. We also calculate the effective potential using component fields to one loop order and consider the possibility of perturbative breaking of supersymmetry. The effect of one loop finite local counter terms and the ultra-violet behaviour of the off-shell (p,q) models to all orders in perturbation theory are also addressed.