Quantum Corner VOA and the Super Macdonald Polynomials
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908642487304192 |
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| author | Cheewaphutthisakun, Panupong Shiraishi, Jun'ichi Wiboonton, Keng |
| author_facet | Cheewaphutthisakun, Panupong Shiraishi, Jun'ichi Wiboonton, Keng |
| contents | In this paper, we establish a relation between the quantum corner VOA $q\widetilde{Y}_{L,0,N}[Ψ]$, which can be regarded as a generalization of quantum $W_N$ algebra, and Sergeev-Veselov super Macdonald polynomials. We demonstrate precisely that, under a specific map, the correlation functions of the currents of $q\widetilde{Y}_{L,0,N}[Ψ]$, coincide with the Sergeev-Veselov super Macdonald polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17326 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Corner VOA and the Super Macdonald Polynomials Cheewaphutthisakun, Panupong Shiraishi, Jun'ichi Wiboonton, Keng High Energy Physics - Theory Mathematical Physics Combinatorics Quantum Algebra Representation Theory In this paper, we establish a relation between the quantum corner VOA $q\widetilde{Y}_{L,0,N}[Ψ]$, which can be regarded as a generalization of quantum $W_N$ algebra, and Sergeev-Veselov super Macdonald polynomials. We demonstrate precisely that, under a specific map, the correlation functions of the currents of $q\widetilde{Y}_{L,0,N}[Ψ]$, coincide with the Sergeev-Veselov super Macdonald polynomials. |
| title | Quantum Corner VOA and the Super Macdonald Polynomials |
| topic | High Energy Physics - Theory Mathematical Physics Combinatorics Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2504.17326 |