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RG Flows from Super-Liouville Theory to Critical Ising Model

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arxiv hep-th/0206210 v1 pith:XMRFFYDY submitted 2002-06-24 hep-th

RG Flows from Super-Liouville Theory to Critical Ising Model

classification hep-th
keywords modelsuper-liouvilletheorycriticalflowsgoldstinoisingamplitudes
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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