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Bulgarian Journal of Physics
Print: 1310-0157 Online: 1314-2666
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RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY 
Bulg. J. Phys. vol.35 no.s1 (2008), pp. 59- 63
HD-Quantum Vertex Algebras
M.J. Bergvelt
Department of Mathematics, University of Illinois Urbana-Champaign, Illinois 61801, USAUrbana-Champaign, Illinois 61801, USA
go backDepartment of Mathematics, University of Illinois Urbana-Champaign, Illinois 61801, USAUrbana-Champaign, Illinois 61801, USA
Abstract. We discuss a class of quantum vertex algebras where not only the commutativity of vertex algebra is broken by a braiding map S(τ), but also the translation covariance is broken by a translation map S(γ). The new class of quantum vertex operators satisfy a Braided Jacobi Identity containing both the braiding and the translation maps.