Canonical analysis of the BCEA topological matter model coupled to gravitation in (2+1) dimensions

Abstract

We consider a topological field theory derived from the Chern - Simons action in (2+1) dimensions with the I(ISO(2,1)) group,and we investigate in detail the canonical structure of this theory.Originally developed as a topological theory of Einstein gravity minimally coupled to topological matter fields in (2+1) dimensions, it admits a BTZ black-hole solutions, and can be generalized to arbitrary dimensions.In this paper, we further study the canonical structure of the theory in (2+1) dimensions, by identifying all the distinct gauge equivalence classes of solutions as they result from holonomy considerations. The equivalence classes are discussed in detail, and examples of solutions representative of each class are constructed or identified.

arXiv comment17 pages, no figures

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Cited by in corpus (4)

• Hidden Quantum Gravity in 3d Feynman diagrams
• Scalar and tensorial topological matter coupled to (2+1)-dimensional gravity:A.Classical theory and global charges
• Higher Gauge Theory and Gravity in (2+1) Dimensions
• Loop Quantization of a Model for D=1+2 (Anti)de Sitter Gravity Coupled to Topological Matter