Contact Term Algebras and Dijkgraaf's Master Equation
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918060103827456 |
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| author | Gui, Zhengping Li, Si Tang, Xinxing |
| author_facet | Gui, Zhengping Li, Si Tang, Xinxing |
| contents | This paper is devoted to study integrable deformations of chiral conformal field theories on elliptic curves from the viewpoint of contact algebra. We introduce the relevant integrable condition within the framework of conformal vertex algebra, and derive the contact term relations among certain local operators. We investigate three versions of genus one partition functions and derive the contact equations. This leads to a rigorous formulation of Dijkgraaf's master equation \cite{Dijk1996master} for chiral deformations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_13194 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Contact Term Algebras and Dijkgraaf's Master Equation Gui, Zhengping Li, Si Tang, Xinxing Quantum Algebra High Energy Physics - Theory Mathematical Physics This paper is devoted to study integrable deformations of chiral conformal field theories on elliptic curves from the viewpoint of contact algebra. We introduce the relevant integrable condition within the framework of conformal vertex algebra, and derive the contact term relations among certain local operators. We investigate three versions of genus one partition functions and derive the contact equations. This leads to a rigorous formulation of Dijkgraaf's master equation \cite{Dijk1996master} for chiral deformations. |
| title | Contact Term Algebras and Dijkgraaf's Master Equation |
| topic | Quantum Algebra High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2506.13194 |