Phys. Rev. Lett. 71, 215–218 (1993)Fractional spin from gravityReceived 10 November 1992; published in the issue dated 12 July 1993 Friedman and Sorkin have observed that the total angular momentum of an asymptotically flat, vacuum, quantum gravitational field in 3+1 dimensions need not be integral. We pursue this idea in the context of asymptotically flat 2+1 gravity, which is an exactly solvable model. We find that, for nontrivial spatial topologies, the quantized pure gravitational field has states of fractional spin. These states are dynamically allowed, in the sense that they solve all the constraints of the theory. © 1993 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.71.215
DOI:
10.1103/PhysRevLett.71.215
PACS:
04.60.+n, 04.20.Jb
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