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Quantum Gravity In 2 1 Dimensions. In two spatial and one time dimensions general relativity turns out to have no propagating gravitational degrees of freedom. It emphasises the quantum cosmology of closed universes and the quantum mechanics of the 21-dimensional black hole. F or g 1 this space of homomorphisms has dimension 12 g 12. 511 Representation theory of the centrally extended Galilei group109 512 The Galilei double and its irreducible representations.
It emphasises the quantum cosmology of closed universes and the quantum mechanics of the 21-dimensional black hole. Three formulations of the classical theory and three approaches to quantization are discussed in some detail and a number. Quantum Gravity in 2 1 Dimensions. It compares and contrasts a variety of approaches and examines what they imply for a realistic theory of quantum gravity. Euclidian path integrals and quantum cosmology. This timely volume provides a broad survey of 21-dimensional quantum gravity.
Canonical quantization in reduced phase space.
Operator algebras and loops. A field guide to the 21-dimensional spacetimes. Geometric structures and Chern-Simons theory. Steven Carlip Steven Jonathan Carlip. This timely volume provides a broad survey of 21-dimensional quantum gravity. The main new feature is that for certain topologies we will be able to find the general solution of the constraints.