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Abelian current algebra and the Virasoro algebra on the lattice. (English) Zbl 0864.17042
Summary: The authors describe how a natural lattice analogue of the abelian current algebra combined with free discrete time dynamics gives rise to the lattice Virasoro algebra and a corresponding hierarchy of conservation laws.

MSC:
17B68 Virasoro and related algebras
81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations
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