English

Quantum Topology Change in (2 + 1)d

High Energy Physics - Theory 2009-10-31 v4 General Relativity and Quantum Cosmology Quantum Algebra

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9905136,
  title  = {Quantum Topology Change in (2 + 1)d},
  author = {A. P. Balachandran and E. Batista and I. P. Costa e Silva and P. Teotonio-Sobrinho},
  journal= {arXiv preprint arXiv:hep-th/9905136},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T16:15:31.283Z