RG FLOWS OF NONUNITARY MINIMAL CFTS

In this paper we study the renormalization group flow of the (p, q) minimal (non-unitary) CFT perturbed by the PHI1,3 operator with a positive coupling. In the perturbative region q much greater than (q-p), we find a new IR fixed point which corresponds to the (2p-q, p) minimal CFT. The perturbing field near the new IR fixed point is identified with the irrelevant PHI3,1 operator. We extend this result to show that the non-diagonal ((A, D)-type) modular invariant partition function of the (p, q) minimal CFT flows into the (A, D)-type partition function of the (2p-q, p) minimal CFT and the diagonal partition function into the diagonal.