Tenfold Way for Holography : AdS/CFT and Beyond

التفاصيل البيبلوغرافية
العنوان: Tenfold Way for Holography : AdS/CFT and Beyond
المؤلفون: Dobrev, V. K.
سنة النشر: 2020
المجموعة: Mathematics
High Energy Physics - Theory
Mathematical Physics
مصطلحات موضوعية: High Energy Physics - Theory, Mathematical Physics, Mathematics - Representation Theory
الوصف: The main purpose of the present paper is to lay the foundations of generalizing the AdS/CFT (holography) idea beyond the conformal setting. The main tool is to find suitable realizations of the bulk and boundary via group theory. We use all ten families of classical real semisimple Lie groups $G$ and Lie algebras $\cal G$. For this are used several group and algebra decompositions: the global Iwasawa decomposition and the local Bruhat and Sekiguchi-like decomposititions. The same analysis is applied to the exceptional real semisimple Lie algebras.
Comment: 24 pages, 5 tables, Latex2e; v2,3: corrected typos, v4 revised as accepted in IJMPA
نوع الوثيقة: Working Paper
DOI: 10.1142/S0217751X21500494
URL الوصول: http://arxiv.org/abs/2009.12582
رقم الأكسشن: edsarx.2009.12582
قاعدة البيانات: arXiv
الوصف
DOI:10.1142/S0217751X21500494