Quantum modular group in (2+1)-dimensional gravity

Authors
Carlip, S Nelson, JE
Citation
S. Carlip et Je. Nelson, Quantum modular group in (2+1)-dimensional gravity, APH NS-HEAV, 10(4), 1999, pp. 361-367
Citations number
30
Categorie Soggetti
Physics
Journal title
ACTA PHYSICA HUNGARICA NEW SERIES-HEAVY ION PHYSICS
ISSN journal
12197580 → ACNP
Volume
10
Issue
4
Year of publication
1999
Pages
361 - 367
Database
ISI
SICI code
1219-7580(1999)10:4<361:QMGI(G>2.0.ZU;2-B
Abstract
The action of the modular group on spacetimes with topology R x T-2 is stud ied. The ADM and holonomy representations are compared and it is shown that the quantum modular group splits the holonomy representation Hilbert space into orthogonal "fundamental regions" that are interchanged by the group a ction, each region equivalent to the ADM Hilbert space of invariant wave fu nctions.