On factorising twists in AdS_3 and AdS_2
Abstract
In this paper we study factorising twists of the massless AdS_3 and AdS_2 integrable R-matrices, and explore the programme of analysis of form factors which Maillet et al developed for ordinary spin-chains. We derive the factorising twists from the universal R-matrix of the gl(1|1) Yangian double, and discuss the RTT relations for the two- and three-site monodromy matrix. We show how the twist can be used to compute a simple scalar product. We then implement our construction in the language of free fermions. Finally, we show how to obtain the massless AdS_2 quantum R-matrix from the Yangian universal R-matrix, and compute a peculiar factorising twist for this case as well.
Cite
@article{arxiv.2203.15367,
title = {On factorising twists in AdS_3 and AdS_2},
author = {Alessandro Torrielli},
journal= {arXiv preprint arXiv:2203.15367},
year = {2022}
}
Comments
26 pages, pdfLaTeX, no figures; v2: typos corrected, references added; v3: more typos fixed and acknowledgments added; v4: version to appear in Journal of Geometry and Physics