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High Energy Physics - Theory, hep-th
Abstract:
Parity-even cubic vertices of massless bosons of arbitrary spins in three
dimensional Minkowski space are classified in the metric-like formulation. As
opposed to higher dimensions, there is at most one vertex for any given triple
$s_1,s_2,s_3$ in three dimensions. All the vertices with more than three
derivatives are of the type $(s,0,0)$, $(s,1,1)$ and $(s,1,0)$ involving scalar
and/or Maxwell fields. All other vertices contain two (three) derivatives, when
the sum of the spins is even (odd). Minimal coupling to gravity, $(s,s,2)$, has
two derivatives and is universal for all spins (equivalence principle holds).
Minimal coupling to Maxwell field, $(s,s,1)$, distinguishes spins $s\leq 1$ and
$s\geq 2$ as it involves one derivative in the former case and three
derivatives in the latter case. Some consequences of this classification are
discussed.
