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Super-bicharacter construction of quantum vertex algebras

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arxiv 0708.3708 v1 pith:VJAXCMSZ submitted 2007-08-28 math-ph math.MPmath.QA

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keywords algebrasvertexquantumproductbicharacterconstructiongivesuper
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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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  1. Orthosymplectic modules of cohomological Hall algebras

    math.AG 2025-01 conditional novelty 7.0 of 10

    Classical type parabolic induction produces twisted Yetter-Drinfeld vertex modules for cohomological Hall algebras, including cases of dimension-zero sheaves on surfaces.

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