Super integrable hierarchies associated with color Lie algebra

2026/05/27 by Bo Yuan, Yanhui Bi, Yuqi Ruan +1 · 1 voice
Physics and Astronomy · Mathematics · #nlin.SI #math.DG

paper · pdf

Abstract

In this paper, by considering two non-isospectral problems with matrices chosen on the color Lie algebra \mathfraksp₁(6), we construct (1+1)-dimensional and (2+1)-dimensional super integrable systems on \mathfraksp₁(6). Moreover, based on the supertrace identity, their super Hamiltonian structures are also constructed.

Citations

• Soliton hierarchies associated with Lie algebra sp(6)
• Integrability vs supersymmetry: Poisson structures of the pohlmeyer reduction
• Color Lie algebras and Lie algebras of order F
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems

Discussions

• Bo Yuan, Yanhui Bi, Yuqi Ruan, Tao Zhang: Super integrable hierarchies associated with color Lie algebra https://arxiv.org/abs/2605.27897 https://arxiv.org/pdf/2605.27897 https://arxiv.org/html/2605.2 [bsky, 0 points, 0 comments]

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