Supersymmetric integrable theories from no particle production
Carlos Bercini, Diego Trancanelli

TL;DR
This paper derives a supersymmetric extension of the sinh-Gordon model by imposing no particle production in tree-level scattering, constraining the interactions of scalar superfields in two dimensions.
Contribution
It introduces a method to determine supersymmetric integrable models through scattering constraints, specifically deriving a supersymmetric sinh-Gordon model.
Findings
Recovered a supersymmetric extension of the sinh-Gordon model.
Demonstrated that no particle production constrains the form of interactions.
Provided a framework for constructing integrable supersymmetric theories.
Abstract
We consider a theory of scalar superfields in two dimensions with arbitrary superpotential. By imposing no particle production in tree level scattering, we constrain the form of the admissible interactions, recovering a supersymmetric extension of the sinh-Gordon model.
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