Higher-dimensional Chiral Algebras in the Jouanolou Model
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917050479280128 |
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| author | Gui, Zhengping Wang, Minghao Williams, Brian R. |
| author_facet | Gui, Zhengping Wang, Minghao Williams, Brian R. |
| contents | We appeal to the theory of Jouanolou torsors to model the coherent cohomology of configuration spaces of points in d-dimensional affine space. Using this model, we develop the operadic notion of chiral operations, thus generalizing the notion of chiral algebras of Beilinson and Drinfeld to higher dimensions. To produce examples, we use a higher-dimensional conceptualization of the residue which is inspired by Feynman graph integrals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_26608 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Higher-dimensional Chiral Algebras in the Jouanolou Model Gui, Zhengping Wang, Minghao Williams, Brian R. Quantum Algebra Mathematical Physics Algebraic Geometry We appeal to the theory of Jouanolou torsors to model the coherent cohomology of configuration spaces of points in d-dimensional affine space. Using this model, we develop the operadic notion of chiral operations, thus generalizing the notion of chiral algebras of Beilinson and Drinfeld to higher dimensions. To produce examples, we use a higher-dimensional conceptualization of the residue which is inspired by Feynman graph integrals. |
| title | Higher-dimensional Chiral Algebras in the Jouanolou Model |
| topic | Quantum Algebra Mathematical Physics Algebraic Geometry |
| url | https://arxiv.org/abs/2510.26608 |