| Autor: |
Wang Na, Wu Ke |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
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| Zdroj: |
European Physical Journal C: Particles and Fields, Vol 83, Iss 7, Pp 1-11 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
1434-6052 |
| DOI: |
10.1140/epjc/s10052-023-11765-8 |
| Popis: |
Abstract Since the ( $$\beta $$ β -deformed) Hurwitz Kontsevich model corresponds to the special case of affine Yangian of $${\mathfrak {gl}}(1)$$ gl ( 1 ) . In this paper, we construct two general cases of the $$\beta $$ β -deformed Hurwitz Kontsevich model. We find that the W-operators of these two models can be represented by the generators $$e_k,\ f_k,\psi _k$$ e k , f k , ψ k of the affine Yangian of $${\mathfrak {gl}}(1)$$ gl ( 1 ) , and the eigenstates (the symmetric functions $$Y_\lambda $$ Y λ and 3-Jack polynomials) can be obtained from the 3D Young diagram representation of affine Yangian of $${\mathfrak {gl}}(1)$$ gl ( 1 ) . Then we can see that the W-operators and eigenstates are symmetric about the permutations of coordinate axes. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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