A Novel Spin-Statistics Theorem in (2 + 1)d Chern-Simons Gravity
High Energy Physics - Theory
2016-09-06 v2 General Relativity and Quantum Cosmology
Abstract
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.
Cite
@article{arxiv.hep-th/0005286,
title = {A Novel Spin-Statistics Theorem in (2 + 1)d Chern-Simons Gravity},
author = {A. P. Balachandran and E. Batista and I. P. Costa e Silva and P. Teotonio-Sobrinho},
journal= {arXiv preprint arXiv:hep-th/0005286},
year = {2016}
}
Comments
7 pages, 1 figure,slightly expanded version, but no essential changes