Generalized sine-Gordon models and quantum braided groups

Delduc, Francois, Magro, Marc and Vicedo, Benoit (2013) Generalized sine-Gordon models and quantum braided groups. Journal of High Energy Physics (JHEP), 2013 (3): 31. ISSN 1126-6708
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We determine the quantized function algebras associated with various examples of generalized sine-Gordon models. These are quadratic algebras of the general Freidel-Maillet type, the classical limits of which reproduce the lattice Poisson algebra recently obtained for these models defined by a gauged Wess-Zumino-Witten action plus an integrable potential. More specifically, we argue based on these examples that the natural framework for constructing quantum lattice integrable versions of generalized sine-Gordon models is that of affine quantum braided groups.


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