Quantum Topology Change in (2 + 1)d

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX file, 33 pages, 10 postscript figures, some typos corrected, references updated, and other minor changes

Scientific paper

10.1142/S0217751X00000732

The topology of orientable (2 + 1)d spacetimes can be captured by certain lumps of non-trivial topology called topological geons. They are the topological analogues of conventional solitons. We give a description of topological geons where the degrees of freedom related to topology are separated from the complete theory that contains metric (dynamical) degrees of freedom. The formalism also allows us to investigate processes of quantum topology change. They correspond to creation and annihilation of quantum geons. Selection rules for such processes are derived.

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