RG Flows from Super-Liouville Theory to Critical Ising Model

Details RG Flows from Super-Liouville Theory to Critical Ising Model RG Flows from Super-Liouville Theory to Critical Ising Model

2002-06-24

arxiv.org/abs/hep-th/0206210v1

Phys.Lett. B541 (2002) 194-200

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0370-2693(02)02217-7

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.

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