Abstract

A renormalization group analysis of the supersymmetric sine-Gordon theory near β2 = 4π yields a flow diagram characteristic of a Kosterlitz-Thouless transition, which is expected to manifest itself in certain correlation functions of the theory. The partition function of the theory is equal to 1 to any order in perturbation, in agreement with Zumino's theorem. Thus without explicitly breaking supersymmetry the theory is not equivalent to a classical gas of particles as is the case for the ordinary sine-Gordon.

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