Spectra of Coset Sigma Models

TL;DR

This paper calculates the complete 1-loop spectrum of anomalous dimensions for bulk fields in coset sigma models, introduces new partition function construction methods, and applies these to various supersymmetric target spaces.

Contribution

It provides the first full 1-loop spectrum for these models and new techniques for partition function construction in the infinite radius limit.

Findings

Complete 1-loop anomalous dimension spectrum computed

New methods for partition function construction introduced

Results applicable to various supersymmetric target spaces

Abstract

We compute the complete 1-loop spectrum of anomalous dimensions for the bulk fields of non-linear sigma models on symmetric coset (super)spaces G/H, both with and without world-sheet supersymmetry. In addition, we provide two new methods for the construction of partition functions in the infinite radius limit and demonstrate their efficiency in the case of (super)sphere sigma models. Our results apply to a large number of target spaces including superspheres and superprojective spaces such as the N=2 sigma model on CP(3|4).