Jack polynomials and affine Yangian

In this paper, we define one kind of new Jack polynomials denoted by Jkλ, which equal the standard Jack polynomials Pλα multiplied by a coefficient. We show that the structure constant Cλμν in Jkλ⋅Jkμ=∑νCλμνJkν can be given from affine Yangian of gl(1). Then we give the Boson-Fermion correspondence...

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Bibliographic Details
Main Authors: Zhennan Cui, Yang Bai, Na Wang, Ke Wu
Format: Article
Language:English
Published: Elsevier 2022-11-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321322003376