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arXiv · 2004.02531

Boost generator in AdS_3 integrable superstrings for general braiding

Juan Miguel Nieto Garcia·Alessandro Torrielli·Leander Wyss
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Abstract

In this paper we find a host of boost operators for a very general choice of coproducts in AdS_3-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 Poincare' - 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.

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Juan Miguel Nieto Garcia, Alessandro Torrielli, Leander Wyss. 2020-04-06. Boost generator in AdS_3 integrable superstrings for general braiding. https://doi.org/10.1007/jhep07(2020)223

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