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We construct two-parameter families of integrable $\lambda$-deformations oftwo-dimensional field theories. These interpolate between a CFT (a WZW/gaugedWZW model) and the non-Abelian T-dual of a principal chiral model on agroup/symmetric coset space. In examples based on the $SU(2)$ WZW model and the$SU(2)/U(1)$ exact coset CFT, we show that these deformations are related tobi-Yang-Baxter generalisations of $\eta$-deformations via Poisson-Lie T-dualityand analytic continuation. We illustrate the quantum behaviour of our modelsunder RG flow. As a byproduct we demonstrate that the bi-Yang-Baxter$\sigma$-model for a general group is one-loop renormalisable.

Generalised integrable $\lambda$- and $\eta$-deformations and their relation