RG flows from super-Liouville theory to critical Ising model

Changrim Ahn; Chanju Kim; Chaiho Rim; Al B. Zamolodchikov

doi:10.1016/S0370-2693(02)02217-7

RG flows from super-Liouville theory to critical Ising model

Changrim Ahn, Chanju Kim, Chaiho Rim, Al B. Zamolodchikov

Department of Physics

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

7 Scopus citations

Abstract

We study an integrable deformation of the super-Liouville theory which generates a RG flows to the critical Ising model as the IR fixed point. This model turns out to be a supersymmetric sinh-Gordon model with spontaneously broken N = 1 supersymmetry. The resulting massless goldstino is the only stable on-shell particle which controls the IR behaviours. We propose the exact S-matrix of the goldstino and compare associated thermodynamic Bethe ansatz equations with the quantization conditions derived from the reflection amplitudes of the super-Liouville theory to provide nonperturbative checks for both the (NS) and the (R) sectors.

Original language	English
Pages (from-to)	194-200
Number of pages	7
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	541
Issue number	1-2
DOIs	https://doi.org/10.1016/S0370-2693(02)02217-7
State	Published - 8 Aug 2002

Bibliographical note

Funding Information:
This work is supported in part by KOSEF R01-1999-00018 (C.A., C.R.), KRF 2001-015-D00071 (C.A.) and BK21 project of the Ministry of Education (C.K.).

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title = "RG flows from super-Liouville theory to critical Ising model",

abstract = "We study an integrable deformation of the super-Liouville theory which generates a RG flows to the critical Ising model as the IR fixed point. This model turns out to be a supersymmetric sinh-Gordon model with spontaneously broken N = 1 supersymmetry. The resulting massless goldstino is the only stable on-shell particle which controls the IR behaviours. We propose the exact S-matrix of the goldstino and compare associated thermodynamic Bethe ansatz equations with the quantization conditions derived from the reflection amplitudes of the super-Liouville theory to provide nonperturbative checks for both the (NS) and the (R) sectors.",

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AU - Kim, Chanju

AU - Rim, Chaiho

AU - Zamolodchikov, Al B.

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N2 - We study an integrable deformation of the super-Liouville theory which generates a RG flows to the critical Ising model as the IR fixed point. This model turns out to be a supersymmetric sinh-Gordon model with spontaneously broken N = 1 supersymmetry. The resulting massless goldstino is the only stable on-shell particle which controls the IR behaviours. We propose the exact S-matrix of the goldstino and compare associated thermodynamic Bethe ansatz equations with the quantization conditions derived from the reflection amplitudes of the super-Liouville theory to provide nonperturbative checks for both the (NS) and the (R) sectors.

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RG flows from super-Liouville theory to critical Ising model

Abstract

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