Published December 14, 1989
| Version v1
Journal article
Spin wedge and vertex operator representations of trigonometric algebras and their central extensions
Description
We construct representations of the trigonometric algebra of Fairlie, Fletcher and Zachos, employing the spin wedge and vertex operator representations of the A∞ algebra of Kac and Jimbo et al. The connection of the two algebraic structures is established through the use of the Heisenberg-Weyl group on the circle S1. Applications of the construction are discussed. (orig.)
Additional details
Publishing Information
- Journal Title
- Physics Letters, (Section) B
- Journal Volume
- 232
- Journal Issue
- 4
- Series
- Phys. Lett., B.
- Journal Page Range
- 467-472
- ISSN
- 0370-2693
- CODEN
- PYLBA
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 21029079
- Subject category
- S99: GENERAL AND MISCELLANEOUS;
- Descriptors DEI
- BOSONS; COMMUTATION RELATIONS; CONFORMAL GROUPS; EXTENDED PARTICLE MODEL; FERMIONS; HILBERT SPACE; IRREDUCIBLE REPRESENTATIONS; LIE GROUPS; POLYNOMIALS; QUANTUM OPERATORS; VERTEX FUNCTIONS; WEYL UNIFIED THEORY
- Descriptors DEC
- BANACH SPACE; FIELD THEORIES; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; PARTICLE MODELS; SPACE; SYMMETRY GROUPS; UNIFIED-FIELD THEORIES