Published July 30, 1990
| Version v1
Journal article
Homotopy groups and (2+1)-dimensional quantum De Sitter gravity
Creators
- 1. Istituto Nazionale di Fisica Nucleare, Turin (Italy)
- 2. Turin Univ. (Italy). Dipt. di Fisica Teorica
- 3. International School for Advanced Studies, Trieste (Italy)
- 4. Universidad Nacional Autonoma de Mexico, Mexico City
Description
The integrated CCR (canonical commutation relations) for (2+1)-dimensional de Sitter/anti-de Sitter gravity in first-order formalism are used to derive generalised spinor representations Ψ: π1(Σ)→SL(2, C)/SL(2, R)xSL(2, R) of the fundamental group of the initial data surface Σ2. The matrix elements of Ψ(U), Ψ(V), with U≠V are in general non-commuting according to a set of formal rules which are related to the theory of quantum groups. The Poincare theory appears as a limiting case. (orig.)
Additional details
Publishing Information
- Journal Title
- Nuclear Physics B, Particle Physics
- Journal Volume
- 339
- Journal Issue
- 2
- Series
- Nucl. Phys. B, Part. Phys.
- Journal Page Range
- 516-532
- ISSN
- 0550-3213
- CODEN
- NUPBB
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 21088347
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ASYMPTOTIC SOLUTIONS; CASIMIR OPERATORS; COMMUTATION RELATIONS; DE SITTER GROUP; HERMITIAN OPERATORS; IRREDUCIBLE REPRESENTATIONS; MATRIX ELEMENTS; POINCARE GROUPS; QUANTUM GRAVITY; QUANTUM OPERATORS; SL GROUPS; SPACE-TIME; SPINORS; THREE-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- FIELD THEORIES; LIE GROUPS; MATHEMATICAL OPERATORS; QUANTUM FIELD THEORY; SYMMETRY GROUPS