Differential equations for product-type foliations associated to vertex algebra

0504867 - MÚ 2020 RIV GB eng C - Conference Paper (international conference)
Zuevsky, Alexander
Differential equations for product-type foliations associated to vertex algebra.
Journal of Physics: Conference series. Vol. 1194. Bristol: IOP, 2019 - (Burdík, Č.; Navrátil, O.; Pošta, S.), č. článku 012121. ISSN 1742-6588.
[32nd International Colloquium on Group Theoretical Methods in Physics (Group32). Prague (CZ), 08.07.2018-13.07.2018]
R&D Projects: GA ČR(CZ) GA18-00496S
Institutional support: RVO:67985840
Keywords : group theory * matrix elements * system of partial differential equations
OECD category: Pure mathematics
https://iopscience.iop.org/article/10.1088/1742-6596/1194/1/012121

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.
Permanent Link: http://hdl.handle.net/11104/0296412