Elliptic Deformation of the Gaiotto-Rapčák Corner VOA and the Associated Partially Symmetric Polynomials
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916350272733184 |
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| author | Cheewaphutthisakun, Panupong Shiraishi, Jun'ichi Wiboonton, Keng |
| author_facet | Cheewaphutthisakun, Panupong Shiraishi, Jun'ichi Wiboonton, Keng |
| contents | We construct the elliptic Miura transformation and use it to obtain the expression of the currents of elliptic corner VOA. We subsequently prove a novel combinatorial formula that is essential for deriving the quadratic relations of the currents. In addition, we give a conjecture that relates the correlation function of the currents of elliptic corner VOA to a certain family of partially symmetric polynomials. The elliptic Macdonald polynomials, constructed recently by Awata-Kanno-Mironov-Morozov-Zenkevich, and Fukuda-Ohkubo-Shiraishi, can be obtained as a particular case of this family. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2406_15860 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Elliptic Deformation of the Gaiotto-Rapčák Corner VOA and the Associated Partially Symmetric Polynomials Cheewaphutthisakun, Panupong Shiraishi, Jun'ichi Wiboonton, Keng High Energy Physics - Theory Mathematical Physics Combinatorics Quantum Algebra Representation Theory We construct the elliptic Miura transformation and use it to obtain the expression of the currents of elliptic corner VOA. We subsequently prove a novel combinatorial formula that is essential for deriving the quadratic relations of the currents. In addition, we give a conjecture that relates the correlation function of the currents of elliptic corner VOA to a certain family of partially symmetric polynomials. The elliptic Macdonald polynomials, constructed recently by Awata-Kanno-Mironov-Morozov-Zenkevich, and Fukuda-Ohkubo-Shiraishi, can be obtained as a particular case of this family. |
| title | Elliptic Deformation of the Gaiotto-Rapčák Corner VOA and the Associated Partially Symmetric Polynomials |
| topic | High Energy Physics - Theory Mathematical Physics Combinatorics Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2406.15860 |