Regularizing Calabi-Yau topological conformal field theories using cutoff heat kernels
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916464149135360 |
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| author | Aulak, Yashasvi |
| author_facet | Aulak, Yashasvi |
| contents | In this paper we construct a family of topological conformal field theories (TCFTs) associated to a Calabi-Yau space by modifying the heat kernel and sections of the Calabi-Yau space. This is done by restricting to certain eigenspaces of the Laplacian. We then present two a-priori distinct ways to regularize the Calabi-Yau TCFT by using these modified heat kernels, and then show that they are equivalent. Finally, we relate the regularized TCFTs for different cutoffs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_23414 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regularizing Calabi-Yau topological conformal field theories using cutoff heat kernels Aulak, Yashasvi Mathematical Physics In this paper we construct a family of topological conformal field theories (TCFTs) associated to a Calabi-Yau space by modifying the heat kernel and sections of the Calabi-Yau space. This is done by restricting to certain eigenspaces of the Laplacian. We then present two a-priori distinct ways to regularize the Calabi-Yau TCFT by using these modified heat kernels, and then show that they are equivalent. Finally, we relate the regularized TCFTs for different cutoffs. |
| title | Regularizing Calabi-Yau topological conformal field theories using cutoff heat kernels |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2410.23414 |