Current-Current Deformations of Conformal Field Theories, and WZW Models

TL;DR

This paper explores current-current deformations of conformal field theories, particularly WZW models, revealing their sigma model descriptions with modified metrics, B-fields, and dilaton, advancing understanding of their moduli spaces.

Contribution

It demonstrates that current-current deformed WZW models can be described by sigma models with non-bi-invariant metrics, B-fields, and dilaton, expanding the theoretical framework.

Findings

Deformed WZW models have WZW-like sigma model descriptions.

Current-current deformations lead to non-bi-invariant metrics.

Additional B-fields and dilaton fields are present in the deformed models.

Abstract

Moduli spaces of conformal field theories corresponding to current-current deformations are discussed. For WZW models, CFT and sigma model considerations are compared. It is shown that current-current deformed WZW models have WZW-like sigma model descriptions with non-bi-invariant metrics, additional B-fields and a non-trivial dilaton.