Quantum groups, braiding matrices and coset models

Conference · Sat Jul 01 00:00:00 EDT 1989

OSTI ID:5591905

Itoyama, H

We discuss a few results on quantum groups in the context of rational conformal field theory with underlying affine Lie algebras. A vertex-height correspondence - a well-known procedure in solvable lattice models - is introduced in the WZW theory. This leads to a new definition of chiral vertex operator in which the zero mode is given by the q-Clebsch Gordan coefficients. Braiding matrices of coset models are found to factorize into those of the WZW theories. We briefly discuss the construction of the generators of the universal enveloping algebra in Toda field theories. 21 refs., 2 figs.

• Research Organization: Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
• Sponsoring Organization: DOE/ER; National Science Foundation (NSF)
• DOE Contract Number: AC02-76CH03000
• OSTI ID: 5591905
• Report Number(s): FNAL/C-89/163-T; CONF-8907140-3; ITP-SB-89-56; ON: DE90002110; TRN: 89-029535
• Resource Relation: Conference: 18. international conference on differential geometric methods in theoretical physics: physics and geometry, Tahoe City, CA (USA), 2-8 Jul 1989
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
CLEBSCH-GORDAN COEFFICIENTS
CONFORMAL GROUPS
GRADED LIE GROUPS
HAMILTONIANS
MATRICES
FIELD THEORIES
LIE GROUPS
MATHEMATICAL OPERATORS
QUANTUM OPERATORS
SYMMETRY GROUPS
645400* - High Energy Physics- Field Theory