H_D-Quantum Vertex Algebras

2008/06/16 by Bergvelt, Maarten
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.0806.2619

Abstract

We discuss a class of quantum vertex algebras where not only the commutativity of the 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.

Related

• H_D-Quantum Vertex Algebras and Bicharacters
• Symmetric polynomials and H_D-quantum vertex algebras
• Quantum vertex algebras
• Deformed quantum vertex algebra modules associated with braidings
• Quantum vertex C((t))-algebras and quantum affine algebras