3D boson representation of affine Yangian of gl(1) and 3D cut-and-join operators-Reference-Cited by-同舟云学术

3D boson representation of affine Yangian of gl(1) and 3D cut-and-join operators

Published:2023-11-01 Issue:11 Volume:64 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Wang Na¹^ORCID,Zhang Can¹,Wu Ke²

Affiliation:

1. School of Mathematics and Statistics, Henan University 1 , Kaifeng 475001, China

2. School of Mathematical Sciences, Capital Normal University 2 , Beijing 100048, China

Abstract

In this paper, we construct the 3D Bosonic Fock space, which is isomorphic to the vector space of 3D Young diagrams as graded vector spaces. Then we use 3D Bosons to represent the generators of the affine Yangian of gl(1) and show that the generators ψj in the affine Yangian of gl(1) are the 3D cut-and-join operators.

Funder

National Natural Science Foundation of China

Key Scientific Research Project of Colleges and Universities in Henan Province

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0174191/18202108/111701_1_5.0174191.pdf

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