تقرير
On factorising twists in AdS_3 and AdS_2
| العنوان: | On factorising twists in AdS_3 and AdS_2 |
|---|---|
| المؤلفون: | Torrielli, Alessandro |
| سنة النشر: | 2022 |
| المجموعة: | High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory |
| الوصف: | 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. Comment: 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 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2203.15367 |
| رقم الأكسشن: | edsarx.2203.15367 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |