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Published November 19, 1990 | public
Journal Article

Spin and statistics of gravitational anyons

Abstract

We determine the spin and statistics of a particle in 2 + 1 dimensions coupled to linearized gravity with a Chern-Simons term. The model and the results are compared to those of the corresponding abelian vector theory. The statistics emerge from the effective particle-particle interaction, while the spin is computed using the symmetric stress tensor of the system. We find that the spin-statistics relation is satisfied. In the gravitational case we show that while stress tensors are never gauge invariant, the Poincaré generators are; in particular, despite subtleties peculiar to two spatial dimensions, there are no "superpotential" ambiguities in these generators.

Additional Information

© 1990 Elsevier. Received 22 March 1990.

Additional details

Created:
August 19, 2023
Modified:
October 24, 2023