RG Flows of Non-Unitary Minimal CFTs

Details RG Flows of Non-Unitary Minimal CFTs RG Flows of Non-Unitary Minimal CFTs

1992-02-07

arxiv.org/abs/hep-th/9202028v1

Phys.Lett.B294:204-208,1992

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1016/0370-2693(92)90683-U

In this paper we study the renormalization group flow of the $(p,q)$ minimal (non-unitary) CFT perturbed by the $\Phi_{1,3}$ operator with a positive coupling. In the perturbative region $q>>(q-p)$, 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 irrelevent $\Phi_{3,1}$ 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.

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