Crystallization of deformed Virasoro algebra, Ding-Iohara-Miki algebra and 5D AGT correspondence
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2015
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| _version_ | 1866912652975931392 |
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| author | Ohkubo, Yusuke Awata, Hidetoshi Fujino, Hiroki |
| author_facet | Ohkubo, Yusuke Awata, Hidetoshi Fujino, Hiroki |
| contents | In this paper, we consider the $q \rightarrow 0$ limit of the deformed Virasoro algebra and that of the level 1, 2 representation of Ding-Iohara-Miki algebra. Moreover, 5D AGT correspondence at this limit is discussed. This specialization corresponds to the limit from Macdonalds functions to Hall-Littlewood functions. Using the theory of Hall-Littlewood functions, some problems are solved. For example, the simplest case of 5D AGT conjectures is proven at this limit, and we obtain a formula for the 4-point correlation function of a certain operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1512_08016 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Crystallization of deformed Virasoro algebra, Ding-Iohara-Miki algebra and 5D AGT correspondence Ohkubo, Yusuke Awata, Hidetoshi Fujino, Hiroki Mathematical Physics High Energy Physics - Theory Quantum Algebra In this paper, we consider the $q \rightarrow 0$ limit of the deformed Virasoro algebra and that of the level 1, 2 representation of Ding-Iohara-Miki algebra. Moreover, 5D AGT correspondence at this limit is discussed. This specialization corresponds to the limit from Macdonalds functions to Hall-Littlewood functions. Using the theory of Hall-Littlewood functions, some problems are solved. For example, the simplest case of 5D AGT conjectures is proven at this limit, and we obtain a formula for the 4-point correlation function of a certain operator. |
| title | Crystallization of deformed Virasoro algebra, Ding-Iohara-Miki algebra and 5D AGT correspondence |
| topic | Mathematical Physics High Energy Physics - Theory Quantum Algebra |
| url | https://arxiv.org/abs/1512.08016 |