Quantum Conserved Charges and S-matrices in N=2 Supersymmetric Sine-Gordon Theory

TL;DR

This paper investigates the quantum conserved charges and S-matrices in N=2 supersymmetric sine-Gordon theory, emphasizing the role of quantum affine algebras and super topological charges in understanding soliton interactions.

Contribution

It introduces a perturbative N=2 superspace framework to analyze quantum integrability and soliton scattering in N=2 supersymmetric sine-Gordon theory, highlighting the algebraic structures involved.

Findings

Quantum affine algebra ${\\widehat {sl_{q}(2)}}$ governs soliton interactions.

Super topological charges influence the structure of S-matrices.

Explicit form of soliton-(anti)soliton and soliton-breather scattering matrices obtained.

Abstract

We study the quantum conserved charges and S-matrices of N=2 supersymmetric sine-Gordon theory in the framework of perturbation theory formulated in N=2 superspace. The quantum affine algebras ${\widehat {sl_{q}(2)}}$ and super topological charges play important roles in determining the N=2 soliton structure and S-matrices of soliton-(anti)soliton as well as soliton-breather scattering.