$H_D$-Quantum Vertex Algebras

Maarten Bergvelt

$H_D$-Quantum Vertex Algebras

Quantum Algebra 2008-06-17 v1

Authors: Maarten Bergvelt

Abstract

We discuss a class of quantum vertex algebras where not only the commutativity of the vertex algebra is broken by a braiding map $S^{(\tau)}$ , but also the translation covariance is broken by a translation map $S^{(\gamma)}$ . The new class of quantum vertex operators satisfy a Braided Jacobi Identity containing both the braiding and the translation maps.

Keywords

quantum groups vertex operator algebras associative algebras

Cite

@article{arxiv.0806.2619,
  title  = {$H_D$-Quantum Vertex Algebras},
  author = {Maarten Bergvelt},
  journal= {arXiv preprint arXiv:0806.2619},
  year   = {2008}
}

Comments

5 pages, for the proceedings of the Varna 2007 conference Lie theory and Applications VII

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