Boost generator in AdS_3 integrable superstrings for general braiding

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.

26 pages, no figures; v2: added references, minor typographical improvements; v3: incorporated referee's suggestions, version to appear in JHEP; v4: corrected typo in (3.8) - (3.9)