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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2023
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2301.00703 |
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| _version_ | 1866910834854199296 |
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| author | Neguţ, Andrei |
| author_facet | Neguţ, Andrei |
| contents | We give a generators-and-relations description of the reduced versions of quiver quantum toroidal algebras, which act on the spaces of BPS states associated to (non-compact) toric Calabi-Yau threefolds X. As an application, we obtain a description of the K-theoretic Hall algebra of (the quiver with potential associated to) X, modulo torsion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_00703 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Reduced quiver quantum toroidal algebras Neguţ, Andrei High Energy Physics - Theory Mathematical Physics Quantum Algebra We give a generators-and-relations description of the reduced versions of quiver quantum toroidal algebras, which act on the spaces of BPS states associated to (non-compact) toric Calabi-Yau threefolds X. As an application, we obtain a description of the K-theoretic Hall algebra of (the quiver with potential associated to) X, modulo torsion. |
| title | Reduced quiver quantum toroidal algebras |
| topic | High Energy Physics - Theory Mathematical Physics Quantum Algebra |
| url | https://arxiv.org/abs/2301.00703 |