English

Super-bicharacter construction of quantum vertex algebras

Mathematical Physics 2009-11-13 v1 math.MP Quantum Algebra

Abstract

We extend the bicharacter construction of quantum vertex algebras first proposed by Borcherds to the case of super Hopf algebras. We give a bicharacter description of the charged free fermion super vertex algebra, which allows us to construct different quantizations of it in the sense of HDH_D-quantum vertex algebras, or specializations to Etingof-Kazhdan quantum vertex algebras. We give formulas for the analytic continuation of product of fields, the operator product expansion and the normal ordered product in terms of the super-bicharacters.

Keywords

Cite

@article{arxiv.0708.3708,
  title  = {Super-bicharacter construction of quantum vertex algebras},
  author = {Iana I. Anguelova},
  journal= {arXiv preprint arXiv:0708.3708},
  year   = {2009}
}

Comments

submitted contribution to "Integrable systems and quantum symmetries 2007"; 14 pages enlarged version

R2 v1 2026-06-21T09:11:15.229Z