RG flows of non-unitary minimal CFTs

Changrim Ahn

doi:10.1016/0370-2693(92)90683-U

RG flows of non-unitary minimal CFTs

Changrim Ahn

Department of Physics

Research output: Contribution to journal › Article › peer-review

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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 language	English
Pages (from-to)	204-208
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	294
Issue number	2
DOIs	https://doi.org/10.1016/0370-2693(92)90683-U
State	Published - 12 Nov 1992

Bibliographical note

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.

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title = "RG flows of non-unitary minimal CFTs",

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.",

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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.

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

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RG flows of non-unitary minimal CFTs

Abstract

Bibliographical note

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