A construction of vertex algebra bundles on logarithmic smooth curves
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917333979627520 |
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| author | Tan, Xi-Chuan |
| author_facet | Tan, Xi-Chuan |
| contents | We present a construction of vertex algebra bundles and spaces of conformal blocks over families of logarithmic smooth curves. This work generalizes some earlier results by Frenkel and Ben-Zvi on vertex algebra bundles over complex smooth algebraic curves. We establish a weaker version of the propagation of vacua, and compute the space of conformal blocks over a typical example of a nodal curve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03175 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A construction of vertex algebra bundles on logarithmic smooth curves Tan, Xi-Chuan Quantum Algebra We present a construction of vertex algebra bundles and spaces of conformal blocks over families of logarithmic smooth curves. This work generalizes some earlier results by Frenkel and Ben-Zvi on vertex algebra bundles over complex smooth algebraic curves. We establish a weaker version of the propagation of vacua, and compute the space of conformal blocks over a typical example of a nodal curve. |
| title | A construction of vertex algebra bundles on logarithmic smooth curves |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2502.03175 |