# Quantum aspects of doubly deformed CFTs

## TL;DR

This paper investigates the quantum properties of doubly lambda-deformed sigma-models, revealing that while beta-functions match those of lambda-deformed models, primary field anomalous dimensions differ, indicating significant model distinctions.

## Contribution

It provides a detailed analysis of quantum aspects of doubly lambda-deformed models, highlighting differences in primary operator anomalous dimensions despite similar beta-functions.

## Key findings

- Beta-functions are identical to lambda-deformed models.
- Anomalous dimensions of primary fields differ from lambda-deformed models.
- The models exhibit significant differences despite similar beta-function behavior.

## Abstract

We study quantum aspects of the recently constructed doubly lambda-deformed sigma-models representing the effective action of two WZW models interacting via current bilinears. We show that although the exact beta-functions and current anomalous dimensions are identical to those of the lambda-deformed models, this is not true for the anomalous dimensions of generic primary field operators in accordance with the fact that the two models differ drastically. Our proofs involve CFT arguments, as well as effective sigma-model action and gravity calculations.