  We compute the all-loop anomalous dimensions of current and primary field
operators in deformed current algebra theories based on a general semi-simple
group, but with different (large) levels for the left and right sectors. These
theories, unlike their equal level counterparts, possess a new non-trivial
fixed point in the IR. By computing the exact in $\lambda$ two- and three-point
functions for these operators we deduce their OPEs and their equal-time
commutators. Using these we argue on the nature of the CFT at the IR fixed
point. The associated to the currents Poisson brackets are a two-parameter
deformation of the canonical structure of the isotropic PCM.
