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arXiv · 1512.08016

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

Yusuke Ohkubo·Hidetoshi Awata·Hiroki Fujino
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Abstract

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.

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Yusuke Ohkubo, Hidetoshi Awata, Hiroki Fujino. 2015-12-25. Crystallization of deformed Virasoro algebra, Ding-Iohara-Miki algebra and 5D AGT correspondence. https://doi.org/10.1063/1.4993773

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