Crystallization of deformed Virasoro algebra, DingIoharaMiki algebra and 5D AGT correspondence
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 DingIoharaMiki algebra. Moreover, 5D AGT correspondence at this limit is discussed. This specialization corresponds to the limit from Macdonalds functions to HallLittlewood functions. Using the theory of HallLittlewood 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 4point correlation function of a certain operator.
 Publication:

arXiv eprints
 Pub Date:
 December 2015
 arXiv:
 arXiv:1512.08016
 Bibcode:
 2015arXiv151208016O
 Keywords:

 Mathematical Physics;
 High Energy Physics  Theory;
 Mathematics  Quantum Algebra
 EPrint:
 32 pages, 1 figure