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 -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