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.
Keywords
Cite
@article{arxiv.2004.02531,
title = {Boost generator in AdS_3 integrable superstrings for general braiding},
author = {Juan Miguel Nieto Garcia and Alessandro Torrielli and Leander Wyss},
journal= {arXiv preprint arXiv:2004.02531},
year = {2020}
}
Comments
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)