A Novel Spin-Statistics Theorem in (2 + 1)d Chern-Simons Gravity

Details A Novel Spin-Statistics Theorem in (2 + 1)d Chern-Simons Gravity A Novel Spin-Statistics Theorem in (2 + 1)d Chern-Simons Gravity

2000-05-31

arxiv.org/abs/hep-th/0005286v2

Mod.Phys.Lett. A16 (2001) 1335-1347

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, 1 figure,slightly expanded version, but no essential changes

Scientific paper

10.1142/S0217732301004480

It has been known for some time that topological geons in quantum gravity may lead to a complete violation of the canonical spin-statistics relation : there may exist no connection between spin and statistics for a pair of geons. We present an algebraic description of quantum gravity in (2 + 1)d based on the first order formalism of general relativity and show that, although the usual spin-statistics theorem is not valid, statistics is completely determined by spin. Hence, a new spin-statistics theorem can be formulated.

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