The Poincare limit in 2+1 dimensional quantum de Sitter gravity

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Published under licence by IOP Publishing Ltd
, , Citation L F Urrutia and F Zertuche 1992 Class. Quantum Grav. 9 641 DOI 10.1088/0264-9381/9/3/007

0264-9381/9/3/641

Abstract

The quantum traces algebra for the 2+1 Poincare gravity in a first order formalism is explicitly constructed by contracting the corresponding traces algebra of the de Sitter gravity. Unbounded representations of the latter, in the case Lambda (0, are constructed in terms of an underlying SU(1, 1) algebra. Unfortunately, these representations do not possess a well defined Poincare limit. Nevertheless an explicit realization of the Poincare traces algebra is constructed in terms of two pairs of canonical variables.

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10.1088/0264-9381/9/3/007