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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-11-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321322003376 |
| Summary: | 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. |
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| ISSN: | 0550-3213 |