Crystallization of deformed Virasoro algebra, Ding-Iohara-Miki algebra and 5D AGT correspondence

Autor:	Ohkubo, Yusuke, Awata, Hidetoshi, Fujino, Hiroki
Rok vydání:	2015
Předmět:	Mathematical Physics High Energy Physics - Theory Mathematics - Quantum Algebra
Druh dokumentu:	Working Paper
Popis:	In this paper, we consider the $q \rightarrow 0$ limit of the deformed Virasoro algebra and that of the level 1, 2 representation of Ding-Iohara-Miki algebra. Moreover, 5D AGT correspondence at this limit is discussed. This specialization corresponds to the limit from Macdonalds functions to Hall-Littlewood functions. Using the theory of Hall-Littlewood functions, some problems are solved. For example, the simplest case of 5D AGT conjectures is proven at this limit, and we obtain a formula for the 4-point correlation function of a certain operator. Comment: 32 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1512.08016 Zobrazit plný text záznamu View this record from Arxiv