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 the super-Liouville theory to provide nonperturbative checks for both the (NS) and the (R) sectors.

10 pages, 1 figures, to be published in Phys. Lett. B

Cited by in corpus (6)

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• A Simple Worldsheet Black Hole
• On the classification of UV completions of integrable $T\bar{T}$ deformations of CFT
• Massless N=1 Super Sinh-Gordon: Form Factors approach
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• Mingling of the infrared and ultraviolet and the "cosmological constant" for interacting QFT in 2d