Classical Integrable N=1 and $N=2$ Super Sinh-Gordon Models with Jump Defects

Abstract

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.

talk presented at the V International Symposium on Quantum Theory and Symmetries, Valladolid, Spain, July 22-28,2007

References in corpus (8)

• Classically integrable field theories with defects
• Affine Toda field theories with defects
• The boundary supersymmetric sine-Gordon model revisited
• Classical Integrable Super sinh-Gordon equation with defects
• Aspects of sine-Gordon solitons, defects and gates
• Integrablility of a Classical $N=2$ Super Sinh-Gordon Model with Jump Defects
• Supersymmetry and the KdV equations for Integrable Hierarchies with a Half-integer Gradation
• Soliton Solutions for the Super mKdV and sinh-Gordon Hierarchy

Cited by in corpus (4)

• Grassmanian and Bosonic Thirring Models with Jump Defects
• Defect scaling Lee-Yang model from the perturbed DCFT point of view
• Defects and Dressed Boundaries in Complex Sine-Gordon Theory
• Permutability of Backlund Transformations for N=2 Supersymmetric Sine-Gordon