Year: 1994
Type: article
Abstract: In previous papers we established and discussed the algebra of observables for 2+1 gravity at both the classical and quantum levels, and gave a systematic discussion of the reduction of the expected number of independent observables to 6g-6 (g>1). In this paper the algebra of observables for the case g=2 is reduced to a very simple form. A Hilbert space of state vectors is defined and its representations are discussed using a deformation of the Euler \ensuremath{\Gamma} function. The deformation parameter \ensuremath{\theta} depends on the cosmological and Planck's constants.
Authors: J. E. Nelson, T. Regge
Institution: University of Turin
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1973259124