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arXiv · 2607.13876

Gaussian solutions to the Yang--Baxter equation and their twists

Yasmeen S. Baki·Padmini Veerapen
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Abstract

In this paper, we consider two explicit Gaussian solutions to the constant (or parameter-independent) quantum Yang--Baxter equation and produce the corresponding bialgebras using the Faddeev--Reshetikhin--Takhtajan construction (FRT). Additionally, we twist these two Gaussian solutions, via Zhang twists and corresponding 2-cocycle twists, to obtain solutions to the Yang--Baxter equation which are not necessarily Gaussian.

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Yasmeen S. Baki, Padmini Veerapen. 2026-07-15. Gaussian solutions to the Yang--Baxter equation and their twists. https://arxiv.org/abs/2607.13876

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