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We construct a set of non-rational conformal field theories that consist ofdeformations of Toda field theory for sl(n). Besides conformal invariance, thetheories still enjoy a remnant infinite-dimensional affine symmetry. The casen=3 is used to illustrate this phenomenon, together with further deformationsthat yield enhanced Kac-Moody symmetry algebras. For generic n we computeN-point correlation functions on the Riemann sphere and show that these can beexpressed in terms of sl(n) Toda field theory correlation functions.

Conformal field theories from deformations of theories with $W_n$ symmetry