Pedro D. Alvarez, Mauricio Valenzuela, Jorge Zanelli
A local supersymmetric action for a (2+1)-dimensional system including
gravity, the electromagnetic field and a Dirac spin-1/2 field is presented. The
action is a Chern-Simons form for a connection of the OSp(2|2) group. All the
fields enter as parts of the connection, that transforms in the adjoint
representation of the gauge group. The system is off-shell invariant under
local (gauge) supersymmetry. Although the supersymmetry is locally realized,
there is no spin-3/2 gravitino, and is therefore not supergravity. The fields
do not necessarily form supersymmetric doublets of equal mass, and moreover,
the fermion may acquire mass through the coupling with geometry, while the
bosons --the U(1) field and the spin connection-- remain massless.
View original:
http://arxiv.org/abs/1109.3944
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