Free bosonic vertex operator algebras on genus two Riemann surfaces. I
DOI10.1007/s00220-010-1126-4zbMath1226.17024arXiv0912.0117OpenAlexW2134877421WikidataQ107238859 ScholiaQ107238859MaRDI QIDQ608919
Michael P. Tuite, Geoffrey Mason
Publication date: 29 November 2010
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.0117
vertex operator algebrapartition functionchiral conformal field theorygenus-2 Riemann surfacen-point function
Model quantum field theories (81T10) Vertex operators; vertex operator algebras and related structures (17B69) Applications of differential geometry to physics (53Z05) Topological field theories in quantum mechanics (81T45) Topological quantum field theories (aspects of differential topology) (57R56) Spaces and manifolds of mappings (including nonlinear versions of 46Exx) (58D99)
Related Items (12)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Free bosonic vertex operator algebras on genus two Riemann surfaces. I
- Genus two partition and correlation functions for fermionic vertex operator superalgebras. I.
- On genus two Riemann surfaces formed from sewn tori
- Algebraic geometry and the geometry of quantum strings
- Geometric realization of conformal field theory on Riemann surfaces
- Infinite conformal symmetry in two-dimensional quantum field theory
- Precise variational formulas for Abelian differentials
- Axioms for a vertex algebra and the locality of quantum fields
- Global vertex operators on Riemann surfaces
- Symmetric invariant bilinear forms on vertex operator algebras
- Torus chiral \(n\)-point functions for free boson and lattice vertex operator algebras
- Introduction to vertex operator algebras and their representations
- Monstrous moonshine and monstrous Lie superalgebras
- Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
- Theta functions on Riemann surfaces
- Conformal field theories, representations and lattice constructions
- Axiomatic conformal field theory
- Torus \(n\)-point functions for \(\mathbb R\)-graded vertex operator superalgebras and continuous fermion orbifolds
- Vertex Operators and Modular Forms
- Vertex algebras, Kac-Moody algebras, and the Monster
- Monstrous Moonshine
- String Theory
- Modular invariance of characters of vertex operator algebras
- On axiomatic approaches to vertex operator algebras and modules
- Shifted vertex operator algebras
This page was built for publication: Free bosonic vertex operator algebras on genus two Riemann surfaces. I