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arXiv · 1510.03043

The Yang-Baxter relation and gauge invariance

Rinat Kashaev
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Abstract

Starting from a quantum dilogarithm over a Pontryagin self-dual LCA group $A$, we construct an operator solution of the Yang-Baxter equation generalizing the solution of the Faddeev-Volkov model. Based on a specific choice of a subgroup $B\subset A$ and by using the Weil transformation, we also give a new non-operator interpretation of the Yang-Baxter relation. That allows us to construct a lattice QFT-model of IRF-type with gauge invariance under independent $B$-translations of local `spin' variables.

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Rinat Kashaev. 2015-10-11. The Yang-Baxter relation and gauge invariance. https://doi.org/10.1088/1751-8113%2F49%2F16%2F164001

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