  We investigate the integrable Yang-Baxter deformation of the 2d Principal
Chiral Model with a Wess-Zumino term. For arbitrary groups, the one-loop beta
functions are calculated and display a surprising connection between classical
and quantum physics: the classical integrability condition is necessary to
prevent new couplings being generated by renormalisation. We show these
theories admit an elegant realisation of Poisson-Lie T-duality acting as a
simple inversion of coupling constants. The self-dual point corresponds to the
Wess-Zumino-Witten model and is the IR fixed point under RG. We address the
possibility of having supersymmetric extensions of these models showing that
extended supersymmetry is not possible in general.
