Super-bicharacter construction of quantum vertex algebras

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 $H_D$-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.

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

Cited by in corpus (2)

• On quantum vertex algebras and their modules
• Twisted vertex algebras, bicharacter construction and boson-fermion correspondences