\( \mathcal{W} \) -symmetry, topological vertex and affine Yangian

DOI10.1007/JHEP10(2016)077zbMATH Open1390.81252arXiv1512.07178OpenAlexW2542847566MaRDI QIDQ1636322

Author name not available (Why is that?)

Publication date: 12 June 2018

Published in: (Search for Journal in Brave)

Abstract: We discuss the representation theory of non-linear chiral algebra

m a t h c a l W_{1 + i n f t y}

of Gaberdiel and Gopakumar and its connection to Yangian of

h a t m a t h f r a k u (1)

whose presentation was given by Tsymbaliuk. The characters of completely degenerate representations of

m a t h c a l W_{1 + i n f t y}

are for generic values of parameters given by the topological vertex. The Yangian picture provides an infinite number of commuting charges which can be explicitly diagonalized in

m a t h c a l W_{1 + i n f t y}

highest weight representations. Many properties that are difficult to study in

m a t h c a l W_{1 + i n f t y}

picture turn out to have a simple combinatorial interpretation.

Full work available at URL: https://arxiv.org/abs/1512.07178

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