Boost generator in AdS3 integrable superstrings for general braiding
Juan Miguel Nieto García, Alessandro Torrielli, Leander Wyss
Journal of High Energy Physics · 2020
doi:10.1007/jhep07(2020)223 (opens in a new tab)
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Abstract
Abstract In this paper we find a host of boost operators for a very general choice of coproducts in AdS3-inspired scattering theories, focusing on the massless sector, with and without an added trigonometric deformation. We find that the boost coproducts are exact symmetries of the R-matrices we construct, besides fulfilling the relations of modified Poincaŕe-type superalgebras. In the process, we discover an ambiguity in determining the boost coproduct which allows us to derive differential constraints on our R-matrices. In one particular case of the trigonometric deformation, we find a non-coassociative structure which satisfies the axioms of a quasi-Hopf algebra.
Abstract licence: CC BY
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