Meromorphic open-string vertex algebras

DOI10.1063/1.4806686zbMath1287.81103arXiv1204.1774OpenAlexW1995740523MaRDI QIDQ5402247

Yi-Zhi Huang

Publication date: 6 March 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.1774

zbMATH Keywords

boundary conformal field theoryassociativityvertex algebras

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) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Axiomatic quantum field theory; operator algebras (81T05)

Related Items (7)

Meromorphic open-string vertex algebras and modules over two-dimensional orientable space forms ⋮ On the extensions of the left modules for a meromorphic open-string vertex algebra. I ⋮ The first cohomology, derivations, and the reductivity of a (meromorphic open-string) vertex algebra ⋮ On modules for meromorphic open-string vertex algebras ⋮ Some open problems in mathematical two-dimensional conformal field theory ⋮ Covariant derivatives of eigenfunctions along parallel tensors over space forms and a conjecture motivated by the vertex algebraic structure ⋮ On the cohomology of meromorphic open-string vertex algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Infinite conformal symmetry in two-dimensional quantum field theory
• Two-dimensional conformal geometry and vertex operator algebras
• Virasoro vertex operator algebras, the (nonmeromomorphic) operator product expansion and the tensor product theory
• A cohomology theory of grading-restricted vertex algebras
• Open-string vertex algebras, tensor categories and operads
• Vertex algebras, Kac-Moody algebras, and the Monster
• On axiomatic approaches to vertex operator algebras and modules
• Generalized rationality and a ``Jacobi identity for intertwining operator algebras

This page was built for publication: Meromorphic open-string vertex algebras