Integrablility of a Classical $N=2$ Super Sinh-Gordon Model with Jump Defects

Abstract

The Lagrangian formalism for the N=2 supersymmetric sinh-Gordon model with a jump defect is considered. The modified conserved momentum and energy are constructed in terms of border functions. The supersymmetric Backlund transformation is given and an one-soliton solution is obtained. The Lax formulation based on the affine super Lie algebra $sl(2,2)$ within the space split by the defect leads to the integrability of the model and henceforth to the existence of an infinite number of constants of motion.

typos corrected

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Cited by in corpus (15)

• Type-II Bäcklund Transformations via Gauge Transformations
• Grassmanian and Bosonic Thirring Models with Jump Defects
• Supersymmetric Inhomogeneous Field Theories in 1+1 Dimensions
• Type-II super-Backlund transformation and integrable defects for the N=1 super sinh-Gordon model
• Type-II defects in the super-Liouville theory
• N=1 super sinh-Gordon model with defects revisited
• Defects in the supersymmetric mKdV hierarchy via Backlund transformations
• N=1 super sinh-Gordon model in the half line: Breather solutions
• Classical Integrable N=1 and $N=2$ Super Sinh-Gordon Models with Jump Defects
• Quantum anomalies in A^{(1)}_r Toda theories with defects
• Permutability of Backlund Transformations for N=2 Supersymmetric Sine-Gordon
• Integrable Defects at Junctions within a Network
• Type II defects revisited
• Aspects of Purely Transmitting Defects in Integrable Field Theories
• Fusing defect for the N=2 super sinh-Gordon model