Conformal Sigma-Models on Supercoset Targets

TL;DR

This paper studies sigma models on supercoset targets with Z_{2n} gradings, showing that for supergroups with vanishing Killing form, an appropriate WZ term makes the models quantum conformal and classically integrable, extending previous results.

Contribution

It generalizes the understanding of conformal and integrable sigma models on supercosets with Z_{2n} gradings, including new classes beyond Z_4 gradings.

Findings

Models with vanishing Killing form can be made quantum conformal with a suitable WZ term.

The conformal choice coincides with classical integrability conditions.

Extends known results for Z_4 graded models to more general Z_{2n} gradings.

Abstract

We investigate the quantum behaviour of sigma models on coset superspaces G/H defined by Z_{2n} gradings of G. We find that, whenever G has vanishing Killing form, there is a choice of WZ term which renders the model quantum conformal, at least to one loop. The choice coincides with that for which the model is known to be classically integrable. This generalizes results for models associated to Z_4 gradings, including IIB superstrings in AdS_5\times S^5.