The MacMahon R-matrix

Abstract We introduce an R-matrix acting on the tensor product of MacMahon representations of Ding-Iohara-Miki (DIM) algebra U q , t g l ^ ^ 1 $$ {U}_{q,t}\left({\widehat{\widehat{\mathfrak{gl}}}}_1\right) $$ . This R-matrix acts on pairs of 3d Young diagrams and retains the nice symmetry of the DIM...

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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 2019-04-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP04(2019)097