RG flows of non-unitary minimal CFTs

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Abstract

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

Original languageEnglish
Pages (from-to)204-208
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume294
Issue number2
DOIs
StatePublished - 12 Nov 1992

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