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arXiv · 2412.18570

Toward the Universal Mumford form on Sato Grassmannians

Katherine A. Maxwell·Alexander A. Voronov
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Abstract

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.

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Katherine A. Maxwell, Alexander A. Voronov. 2024-12-24. Toward the Universal Mumford form on Sato Grassmannians. https://arxiv.org/abs/2412.18570

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