Krichever-Novikov Vertex Algebras on Compact Riemann Surfaces

2015/09/20 by Lu Ding, Ding, Lu, Shikun Wang +1
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.1509.06006

arxiv created 2015/09/20 · openalex publication_date 2015/09/20 · arxiv updated 2015/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a notation of Krichever-Novikov vertex algebras on compact Riemann surfaces which is a bit weaker, but quite similar to vertex algebras. As example, we construct Krichever-Novikov vertex algebras of generalized Heisenberg algebras on arbitrary compact Riemann surfaces, which are reduced to be Heisenberg vertex algebra when restricted on Riemann spheres.

Citations

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

Related

• Towards Vertex Algebras of Krichever-Novikov Type, Part I
• Riemann Surfaces and Vertex Operator Algebras
• Riemann surfaces with boundaries and the theory of vertex operator algebras
• The Heisenberg Generalized Vertex Operator Algebra on a Riemann Surface
• From the Virasoro Algebra to Krichever--Novikov Type Algebras and Beyond