Towards Vertex Algebras of Krichever-Novikov Type, Part I

Details Towards Vertex Algebras of Krichever-Novikov Type, Part I Towards Vertex Algebras of Krichever-Novikov Type, Part I

2003-05-29

arxiv.org/abs/math/0305428v1

Mathematics

Quantum Algebra

21 pages

Scientific paper

It is shown that a certain representation of the Heisenberg type
Krichever-Novikov algebra gives rise to a state field correspondence that is
quite similar to the vertex algebra structure of the usual Heisenberg algebra.
Finally a definition of Krichever-Novikov type vertex algebras is proposed and
its relation to vertex algebras is discussed.

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