Toward the Universal Mumford form on Sato Grassmannians
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910999579197440 |
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| author | Maxwell, Katherine A. Voronov, Alexander A. |
| author_facet | Maxwell, Katherine A. Voronov, Alexander A. |
| contents | We construct a local universal Mumford form on a product of Sato Grassmannians using the flow of the Virasoro algebra. The existence of this universal Mumford form furthers the proposal that the Sato Grassmannian provides a universal moduli space with applications to string theory. Our approach using the Virasoro flow is an alternative to using the KP flow, which in particular allows for a bosonic universal Mumford form to be constructed. Applying the same method, we construct a local universal super Mumford form on a product of super Sato Grassmannians using the flow of the Neveu-Schwarz algebra. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_18570 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Toward the Universal Mumford form on Sato Grassmannians Maxwell, Katherine A. Voronov, Alexander A. Algebraic Geometry High Energy Physics - Theory 81T30 (Primary), 17B68, 14D21 (Secondary) We construct a local universal Mumford form on a product of Sato Grassmannians using the flow of the Virasoro algebra. The existence of this universal Mumford form furthers the proposal that the Sato Grassmannian provides a universal moduli space with applications to string theory. Our approach using the Virasoro flow is an alternative to using the KP flow, which in particular allows for a bosonic universal Mumford form to be constructed. Applying the same method, we construct a local universal super Mumford form on a product of super Sato Grassmannians using the flow of the Neveu-Schwarz algebra. |
| title | Toward the Universal Mumford form on Sato Grassmannians |
| topic | Algebraic Geometry High Energy Physics - Theory 81T30 (Primary), 17B68, 14D21 (Secondary) |
| url | https://arxiv.org/abs/2412.18570 |