The Notion of Vertex Operator Coalgebra and a Geometric Interpretation

DOI10.1080/00927870500454828zbMath1106.17037arXivmath/0405461OpenAlexW2165418660MaRDI QIDQ5478676

Keith Hubbard

Publication date: 13 July 2006

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405461

zbMATH Keywords

conformal field theorycoalgebravertex operator algebra

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items

Full field algebras, operads and tensor categories ⋮ Cocommutative vertex bialgebras ⋮ Vertex coalgebras, coassociator, and cocommutator formulas ⋮ Vertex coalgebras, comodules, cocommutativity and coassociativity ⋮ Constructions of vertex operator coalgebras via vertex operator algebras

Cites Work

• Nonlinear models in \(2+\epsilon\) dimensions
• Infinite conformal symmetry in two-dimensional quantum field theory
• Unitary representations of some infinite dimensional groups
• Construction of the affine Lie algebra \(A^{(1)}_1\)
• Introduction to vertex operator algebras and their representations
• Factorization of formal exponentials and uniformization
• A theory of tensor products for module categories for a vertex operator algebra. III
• A theory of tensor products for module categories for a vertex operator algebra. IV
• A theory of tensor products for module categories for a vertex operator algebra. I
• A theory of tensor products for module categories for a vertex operator algebra. II
• Invariants of 3-manifolds via link polynomials and quantum groups
• The geometry of iterated loop spaces
• Constructions of vertex operator coalgebras via vertex operator algebras
• Vertex algebras, Kac-Moody algebras, and the Monster
• The Notion of N=1 Supergeometric Vertex Operator Superalgebra and the Isomorphism Theorem
• Modular invariance of characters of vertex operator algebras
• On axiomatic approaches to vertex operator algebras and modules
• DIFFERENTIAL EQUATIONS, DUALITY AND MODULAR INVARIANCE
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Notion of Vertex Operator Coalgebra and a Geometric Interpretation