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Differential equations for product-type foliations associated to vertex algebra

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, , Citation Alexander Zuevsky 2019 J. Phys.: Conf. Ser. 1194 012121 DOI 10.1088/1742-6596/1194/1/012121

1742-6596/1194/1/012121

Abstract

We study differential equations for the transition functions defining a product-type foliation associated to a grading-restricted vertex algebra. First we prove that matrix elements for a vertex algebra defines a manifold endowed with a product-type foliation (associated to a grading-restricted vertex algebra). Finally, we prove that the transition functions for such foliation satisfy the system of partial differential equations.

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10.1088/1742-6596/1194/1/012121