2022/03/29 by Alessandro Torrielli, Torrielli, Alessandro
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.2203.15367
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
arxiv created 2022/10/13 · arxiv updated 2022/10/17
In this paper we study factorising twists of the massless AdS3 and AdS2 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 AdS2 quantum R-matrix from the Yangian universal R-matrix, and compute a peculiar factorising twist for this case as well.