Is the $\mathbb{Z}_2\times \mathbb{Z}_2$-graded sine-Gordon equation integrable?
Mathematical Physics
2021-08-25 v2 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We examine the question of the integrability of the recently defined -graded sine-Gordon model, which is a natural generalisation of the supersymmetric sine-Gordon equation. We do this via appropriate auto-B\"{a}cklund transformations, construction of conserved spinor-valued currents and a pair of infinite sets of conservation laws.
Keywords
Cite
@article{arxiv.2106.06372,
title = {Is the $\mathbb{Z}_2\times \mathbb{Z}_2$-graded sine-Gordon equation integrable?},
author = {Andrew James Bruce},
journal= {arXiv preprint arXiv:2106.06372},
year = {2021}
}
Comments
Accepted for publication in Nuclear Physics B. 8 pages, comments still welcomed