Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-11-16
Annals Phys.325:1118-1134,2010
Physics
High Energy Physics
High Energy Physics - Theory
23 pp. New references, improved spin-3 discussion. Minor additional corrections in v3
Scientific paper
10.1016/j.aop.2009.12.010
The general second-order massive field equations for arbitrary positive integer spin in three spacetime dimensions, and their "self-dual" limit to first-order equations, are shown to be equivalent to gauge-invariant higher-derivative field equations. We recover most known equivalences for spins 1 and 2, and find some new ones. In particular, we find a non-unitary massive 3D gravity theory with a 5th order term obtained by contraction of the Ricci and Cotton tensors; this term is part of an N=2 super-invariant that includes the "extended Chern-Simons" term of 3D electrodynamics. We also find a new unitary 6th order gauge theory for "self-dual" spin 3.
Bergshoeff Eric A.
Hohm Olaf
Townsend Paul K.
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