Spacetime symmetries of the Lorentz-violating Maxwell-Chern-Simons model

Details Spacetime symmetries of the Lorentz-violating Maxwell-Chern-Simons model Spacetime symmetries of the Lorentz-violating Maxwell-Chern-Simons model

2006-12-15

arxiv.org/abs/hep-th/0612167v1

Phys.Lett.A367:11-15,2007

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 1 table, REVTeX4

Scientific paper

10.1016/j.physleta.2007.03.001

The spacetime symmetries of classical electrodynamics supplemented with a Chern-Simons term that contains a constant nondynamical 4-vector are investigated. In addition to translation invariance and the expected three remaining Lorentz symmetries characterized by the little group of the external vector, the model possesses an additional spacetime symmetry if the nondynamical vector is lightlike. The conserved current associated with this invariance is determined, and the symmetry structure arising from this invariance and the usual little group ISO(2) is identified as SIM(2).

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