CONSTRUCTING QUANTUM VERTEX ALGEBRAS

DOI10.1142/S0129167X06003588zbMath1130.17013arXivmath/0505293MaRDI QIDQ5470149

Haisheng Li

Publication date: 29 May 2006

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505293

zbMATH Keywords

quantum vertex algebranondegeneracynonlocal vertex algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (31)

An approach to quantum conformal algebra ⋮ \((G,\chi_\phi)\)-equivariant \(\phi\)-coordinated quasi modules for nonlocal vertex algebras ⋮ Twistors of nonlocal vertex algebras ⋮ Vertex algebras associated to a class of Lie algebras of Krichever-Novikov type ⋮ Ding-Iohara algebras and quantum vertex algebras ⋮ Iterated twisted tensor products of nonlocal vertex algebras ⋮ Associating quantum vertex algebras to Lie algebra \(\mathfrak{gl}_\infty\) ⋮ Quantum vertex \(\mathbb F((T))\)-algebras and their modules ⋮ Twisted tensor products of nonlocal vertex algebras ⋮ Hopf actions on vertex algebras ⋮ Deforming vertex algebras by vertex bialgebras ⋮ Associating quantum vertex algebras to deformed Heisenberg Lie algebras ⋮ General twisting of ϕ1-coordinated modules of nonlocal vertex algebras ⋮ \({\phi}\)-coordinated quasi-modules for quantum vertex algebras ⋮ A SMASH PRODUCT CONSTRUCTION OF NONLOCAL VERTEX ALGEBRAS ⋮ Open-closed field algebras ⋮ Remarks on 𝜙-coordinated modules for quantum vertex algebras ⋮ G-equivariant ϕ-coordinated quasi modules for quantum vertex algebras ⋮ Modules-at-infinity for quantum vertex algebras ⋮ A certain Clifford-like algebra and quantum vertex algebras ⋮ \(\phi\)-coordinated modules for quantum vertex algebras and associative algebras ⋮ \(N\)-point locality for vertex operators: normal ordered products, operator product expansions, twisted vertex algebras ⋮ Twisted \(\phi\)-coordinated modules for nonlocal vertex algebras ⋮ Vertex \(F\)-algebras and their \(\phi\)-coordinated modules ⋮ Quantum current algebras associated with rational \(R\)-matrix ⋮ \({\hslash}\)-adic quantum vertex algebras and their modules ⋮ Twisted tensor products of \(\phi\)-coordinated modules for nonlocal vertex algebras ⋮ SOME QUANTUM VERTEX ALGEBRAS OF ZAMOLODCHIKOV–FADDEEV TYPE ⋮ Twisted modules for quantum vertex algebras ⋮ H_D-QUANTUM VERTEX ALGEBRAS AND BICHARACTERS ⋮ Contragredient Modules and Invariant Bilinear Forms on Möbius Nonlocal Vertex Algebras

Cites Work

• Unnamed Item
• On quantum Galois theory
• Nonlocal vertex algebras generated by formal vertex operators
• Vertex operator algebras associated to representations of affine and Virasoro algebras
• Symmetric invariant bilinear forms on vertex operator algebras
• Simple vertex operator algebras are nondegenerate.
• Quantization of Lie bialgebras. V: Quantum vertex operator algebras
• \({\mathcal W}_{1+\infty}\) and \({\mathcal W}(gl_ N)\) with central charge \(N\)
• Local systems of vertex operators, vertex superalgebras and modules
• Vertex algebras, Kac-Moody algebras, and the Monster
• Vertex representations of quantum affine algebras
• VERTEX ALGEBRAS AND VERTEX POISSON ALGEBRAS
• AXIOMATIC G₁-VERTEX ALGEBRAS

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