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arXiv · 0708.3708

Super-bicharacter construction of quantum vertex algebras

Iana I. Anguelova
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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.

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BibTeXRIS

Iana I. Anguelova. 2007-08-28. Super-bicharacter construction of quantum vertex algebras. https://doi.org/10.1016/s0034-4877(08)80014-6

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