Abstract:
A superfield description of three-dimensional $N=1,2$ supersynnnetric
Yang–Mills theories and supergravities is given. Manifestly supersymmetric
expressions are obtained for the topological Chern–Simons
terms in the $N=1$ theory using the technique of differential and
integral forms on superspace. The topological mass term in $D=3$,
$N=2$ Yang–Mills theory is constructed in terms of an unconstrained
gauge prepotential. A formulation of $D=3$, $N=2$ supergravity is
given in the Ogievetskii–Sokachev geometrical approach, and superfield
equations of conformal supergravity are obtained.