Published 2000
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Auxiliary representations of Lie algebras and the BRST constructions
Creators
- 1. Department of Mathematics, Czech Technical University, Prague (Czech Republic)
- 2. Bogolyubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna (Russian Federation)
Description
The method of construction of auxiliary representations for a given Lie algebra is discussed in the framework of the BRST approach. The corresponding BRST charge turns out to be nonhermitian. This problem is solved by the introduction of the additional kernel operator in the definition of the scalar product in the Fock space. The existence of the kernel operator is proved for any Lie algebra
Availability note (English)
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Additional details
Publishing Information
- Imprint Pagination
- 11 p.
- Report number
- JINR-E--2-2000-11
INIS
- Country of Publication
- Joint Institute for Nuclear Research (JINR)
- Country of Input or Organization
- Joint Institute for Nuclear Research (JINR)
- INIS RN
- 31031752
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ANNIHILATION OPERATORS; CREATION OPERATORS; FOCK REPRESENTATION; GRADED LIE GROUPS; HERMITIAN OPERATORS; KERNELS; MATHEMATICAL SPACE; QUANTIZATION; SO-2 GROUPS; SO-3 GROUPS
- Descriptors DEC
- LIE GROUPS; MATHEMATICAL OPERATORS; QUANTUM OPERATORS; SO GROUPS; SPACE; SYMMETRY GROUPS
Optional Information
- Notes
- 16 refs., 1 fig. Submitted to Modern Physics Letters A