Is the $\mathbb{Z}_2\times \mathbb{Z}_2$-graded sine-Gordon equation integrable? (2106.06372v2)

Published 11 Jun 2021 in math-ph, hep-th, math.MP, and nlin.SI

Abstract: We examine the question of the integrability of the recently defined $\mathbb{Z}_2\times \mathbb{Z}_2$-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.

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Authors (1)

Andrew James Bruce

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