3-Schurs from explicit representation of Yangian Y gl ̂ 1 $$ \textrm{Y}\left({\hat{\mathfrak{gl}}}_1\right) $$ . Levels 1–5

Abstract We suggest an ansatz for representation of affine Yangian Y gl ̂ 1 $$ Y\left({\hat{\mathfrak{gl}}}_1\right) $$ by differential operators in the triangular set of time-variables P a,i with 1 ⩽ i ⩽ a, which saturates the MacMahon formula for the number of 3d Young diagrams/plane partitions. I...

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Bibliographic Details
Main Authors: A. Morozov, N. Tselousov
Format: Article
Language:English
Published: SpringerOpen 2023-11-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP11(2023)165