Classical integrable N=1 and N=2 super sinh-Gordon models with jump defects
Gomes, J. F. [UNESP]
Ymai, L. H. [UNESP]
Zimerman, Abraham Hirsz [UNESP]
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Iop Publishing Ltd
The structure of integrable field theories in the presence of jump defects is discussed in terms of boundary functions under the Lagrangian formalism. Explicit examples of bosonic and fermionic theories are considered. In particular, the boundary functions for the N = 1 and N = 2 super sinh-Gordon models are constructed and shown to generate the Backlund transformations for its soliton solutions. As a new and interesting example, a solution with an incoming boson and an outgoing fermion for the N = 1 case is presented. The resulting integrable models are shown to be invariant under supersymmetric transformation.
5th International Symposium on Quantum Theory and Symmetries Qts5. Bristol: Iop Publishing Ltd, v. 128, p. 8, 2008.