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Jack polynomials and affine Yangian

Nuclear physics. B, 2022-11, Vol.984, p.115986, Article 115986 [Peer Reviewed Journal]

2022 The Author(s) ;ISSN: 0550-3213 ;EISSN: 1873-1562 ;DOI: 10.1016/j.nuclphysb.2022.115986

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  • Title:
    Jack polynomials and affine Yangian
  • Author: Cui, Zhennan ; Bai, Yang ; Wang, Na ; Wu, Ke
  • Is Part Of: Nuclear physics. B, 2022-11, Vol.984, p.115986, Article 115986
  • Description: 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 for Jack polynomials Jkλ and show that 3-Schur functions Sπ equal Jack polynomials Jkλ in the special case of h1=h, h2=−h−1, h3=−h+h−1.
  • Publisher: Elsevier B.V
  • Language: English
  • Identifier: ISSN: 0550-3213
    EISSN: 1873-1562
    DOI: 10.1016/j.nuclphysb.2022.115986
  • Source: DOAJ Directory of Open Access Journals
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