Published August 1, 2017
| Version v1
Journal article
Extensions of vertex algebras. Constructions and applications
Creators
- 1. National Research University ''Higher School of Economics'', International Laboratory of Representation Theory and Mathematical Physics (Russian Federation)
Description
This paper discusses the main known constructions of vertex operator algebras. The starting point is the lattice algebra. Screenings distinguish subalgebras of lattice algebras. Moreover, one can construct extensions of vertex algebras. Combining these constructions gives most of the known examples. A large class of algebras with big centres is constructed. Such algebras have applications to the geometric Langlands programme.
Bibliography: 46 titles. (paper)
Availability note (English)
Available from http://dx.doi.org/10.1070/RM9778Additional details
Identifiers
- DOI
- 10.1070/RM9778;
Publishing Information
- Journal Title
- Russian Mathematical Surveys
- Journal Volume
- 72
- Journal Issue
- 4
- Journal Page Range
- p. 707-763
- ISSN
- 0036-0279
- CODEN
- RMSUAF
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 52003318
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; GEOMETRY; HAMILTONIANS; LIE GROUPS; QUANTUM GRAVITY; QUANTUM MECHANICS; QUANTUM SYSTEMS; VERTEX FUNCTIONS
- Descriptors DEC
- FIELD THEORIES; FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICS; MECHANICS; QUANTUM FIELD THEORY; QUANTUM OPERATORS; SYMMETRY GROUPS