English

Krichever-Novikov Vertex Algebras on Compact Riemann Surfaces

Quantum Algebra 2015-09-22 v1

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.

Keywords

Cite

@article{arxiv.1509.06006,
  title  = {Krichever-Novikov Vertex Algebras on Compact Riemann Surfaces},
  author = {Lu Ding and Shikun Wang},
  journal= {arXiv preprint arXiv:1509.06006},
  year   = {2015}
}