ℏ -adic Quantum Vertex Algebras and Their Modules

2009/02/17 by Haisheng Li · 31 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics #Computer science #Discrete mathematics #Graph #Mathematics #Physics #Pure mathematics #Quantum #Quantum mechanics #Vertex (graph theory) #advanced mathematical theories #math.QA #msc:17B68 #msc:17B69

paper · pdf · doi:10.1007/s00220-010-1026-7

published in Communications in Mathematical Physics 296(2), 475-523 (Springer Science+Business Media) · 18 pages; contribution to the proceedings of the conference in honor of Professor Geoffrey Mason

arxiv created 2009/02/17 · openalex publication_date 2010/03/06 · arxiv updated 2015/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We give a survey on the developments in a certain theory of quantum vertex algebras, including a conceptual construction of quantum vertex algebras and their modules and a connection of double Yangians and Zamolodchikov-Faddeev algebras with quantum vertex algebras.

Citations

• H_D-Quantum Vertex Algebras and Bicharacters
• CONSTRUCTING QUANTUM VERTEX ALGEBRAS
• Local systems of vertex operators, vertex superalgebras and modules
• Some quantum vertex algebras of Zamolodchikov-Faddeev type
• Quantum Groups

Cited by

• Center of the quantum affine vertex algebra associated with trigonometric R -matrix
• On the quantum affine vertex algebra associated with trigonometric R-matrix
• Quantum current algebras associated with rational R-matrix
• h -adic quantum vertex algebras in types B , C , D and their ϕ -coordinated modules