Published September 1989
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Fusion algebra and fusing matrices
Description
We show that the Wilson line operators in topological field theories form a fusion algebra. In general, the fusion algebra is a relation among the fusing (F) matrices. In the case of the SU(2) WZW model, some special F matrix elements are found in this way, and the remaining F matrix elements are then determined up to a sign. In addition, the S(j) modular transformation of the one point blocks on the torus is worked out. Our results are found to agree with those obtained from the quantum group method. (author). 24 refs
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Additional details
Publishing Information
- Imprint Pagination
- 23 p.
- Report number
- IC--89/316
INIS
- Country of Publication
- International Atomic Energy Agency (IAEA)
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 21015660
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; CONFORMAL MAPPING; FIELD OPERATORS; MATRICES; QUANTUM FIELD THEORY; SU-2 GROUPS
- Descriptors DEC
- FIELD THEORIES; LIE GROUPS; MATHEMATICAL OPERATORS; MATHEMATICS; QUANTUM OPERATORS; SU GROUPS; SYMMETRY GROUPS; TOPOLOGICAL MAPPING; TRANSFORMATIONS