(q, t)-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces

(q, t)-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces

Abstract We describe the general strategy for lifting the Wess-Zumino-Witten model from the level of one-loop Kac-Moody U q g ^ k $$ {U}_q{\left(\widehat{\mathfrak{g}}\right)}_k $$ to generic quantum toroidal algebras. A nearly exhaustive presentation is given for both U q , t g l ^ ^ 1 $$ {U}_{q,t}...

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Bibliographic Details
Main Authors: Hidetoshi Awata, Hiroaki Kanno, Andrei Mironov, Alexei Morozov, Kazuma Suetake, Yegor Zenkevich
Format: Article
Language:English
Published: SpringerOpen 2018-03-01
Series:Journal of High Energy Physics
Subjects:
Conformal and W Symmetry
Conformal Field Theory
Supersymmetric Gauge Theory
Topological Strings
Online Access:http://link.springer.com/article/10.1007/JHEP03(2018)192

Internet

http://link.springer.com/article/10.1007/JHEP03(2018)192

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