Published September 21, 1992
| Version v1
Journal article
The algebra of supertraces for (2 + 1) super de Sitter gravity
Creators
- 1. Centro de Estudios Cientificos de Santiago, Casilla 16443, Santiago 9 (Chile)
- 2. Inst. de Ciencias Nucleares, Univ. Nacional Autonoma de Mexico, Circuito Exterior, C.U., 04510 Mexico, D.F. (Mexico)
- 3. Centro Nacional de Investigacion y Desarrollo Tecnologico, Interior Internado Palmira s/n, A.P. 4-224, 62431 Cuernavaca, Morelos (Mexico)
Description
In this paper, the authors calculate the algebra of the observables for 2 + 1 super de Sitter gravity, for one genus of the spatial surface. The algebra turns out to be an infinite Lie algebra subject to nonlinear constraints. The authors solve the constraints explicitly in terms of five independent complex supertraces. These variables are the true degrees of freedom of the system and their quantized algebra generates a new structure which we refer to as a central extension of the quantum algebra SU(2)q
Additional details
Publishing Information
- Journal Title
- Modern Physics Letters A
- Journal Volume
- 7
- Journal Issue
- 29
- Journal Page Range
- p. 2715-2722.
- ISSN
- 0217-7323
- CODEN
- MPLAEQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 24028089
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ALGEBRA; DE SITTER GROUP; GRAVITATION; LIE GROUPS; NONLINEAR PROBLEMS; QUANTIZATION; QUANTUM MECHANICS; SU-2 GROUPS; SUPERSYMMETRY; THREE-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- MATHEMATICS; MECHANICS; SU GROUPS; SYMMETRY; SYMMETRY GROUPS