Super-bicharacter construction of quantum vertex algebras

Details Super-bicharacter construction of quantum vertex algebras Super-bicharacter construction of quantum vertex algebras

2007-08-28

arxiv.org/abs/0708.3708v1

Physics

Mathematical Physics

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

Scientific paper

10.1016/S0034-4877(08)80014-6

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.

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