TY - JOUR

T1 - RG flows of non-unitary minimal CFTs

AU - Ahn, Changrim

N1 - Funding Information:
We thank our colleagues in the Theory group at Cornell and S. Nam at Seoul for helpful discussions. This work was supported in part by the National Science Foundation.

PY - 1992/11/12

Y1 - 1992/11/12

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0000554162&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(92)90683-U

DO - 10.1016/0370-2693(92)90683-U

M3 - Article

AN - SCOPUS:0000554162

SN - 0370-2693

VL - 294

SP - 204

EP - 208

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 2

ER -