Free field realization of the Ding-Iohara algebra at general levels
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908884760788992 |
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| author | Chen, Zitao Ding, Xiang-Mao |
| author_facet | Chen, Zitao Ding, Xiang-Mao |
| contents | We present a unified free field realization of the Ding-Iohara algebra at arbitrary levels, which satisfies a generalized form of the Serre relations. This realization, constructed using six free boson fields, arises from a specialized factorization of the structure function in the defining relations of the algebra. Based on this construction, we then develop intertwining operators for the Ding-Iohara algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17508 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Free field realization of the Ding-Iohara algebra at general levels Chen, Zitao Ding, Xiang-Mao High Energy Physics - Theory Mathematical Physics Quantum Algebra Representation Theory We present a unified free field realization of the Ding-Iohara algebra at arbitrary levels, which satisfies a generalized form of the Serre relations. This realization, constructed using six free boson fields, arises from a specialized factorization of the structure function in the defining relations of the algebra. Based on this construction, we then develop intertwining operators for the Ding-Iohara algebra. |
| title | Free field realization of the Ding-Iohara algebra at general levels |
| topic | High Energy Physics - Theory Mathematical Physics Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2504.17508 |