Homotopy groups and (2 + 1)-dimensional quantum de Sitter gravity
Por:
Nelson J.E., Regge T., Zertuche F.
Publicada:
1 ene 1990
Resumen:
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 ?: ?1(?) ? SL(2, C)/SL(2, R) ? SL(2, R) of the fundamental group of the initial data surface ?2. The matrix elements of ?(U), ?(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 Poincaré theory appears as a limiting case. © 1990.
Filiaciones:
Nelson J.E.:
Istituto Nazionale di Fisica Nucleare, Sezione di Torino, Via Pietro Giuria 1, Torino, 10125, Italy
Regge T.:
Dipartimento di Fisica Teorica dell'Universita' di Torino, Via Pietro Giuria 1, Torino, 10125, Italy
Zertuche F.:
Fellow of Universidad National Autonoma de Mexico and of SISSA, Strada Costiera 11, Miramare, Trieste, Italy, Italy
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