Superfield formulation of OSp(1,4) supersymmetry

Multiplet shortening in Osp(N,4)

“…The free supersymmetric field theories of type A and type C (s = ½) representations have been discussed both in superspace [10,11] and component [11,12] formulations. The field theory of the type B (s = ½) representation has also been discussed recently [13].…”

Gauge fields, nonlinear realizations, supersymmetry

“…the number of supercharges in the AdS supersymmetry is the same as in the N = 1 Poincaré one. A self-consistent superfield formalism for AdS 4 supersymmetry was constructed in [71,72]. N = 1 AdS 4 superalgebra is osp(1|4) ⊂ su(2, 2|1), and it is defined by the following (anti)commutation relations:…”

“…In [71,72], we defined the true AdS 4 analogs of the general and chiral N = 1 superfields, as well as the vector and spinor covariant derivatives, invariant superspace integration measures, etc. Having developed the AdS 4 superfield techniques, we constructed the OSp(1|4) invariant actions generalizing the actions of the Wess-Zumino model and N = 1 super Yang-Mills theory.…”

“…The simplest supermultiplets of OSp(1|4) derived for the first time in [71] in the superfield approach and the corresponding projection operators were used in [74] to give a nice algebraic interpretation of the superfield constraints of N = 1 supergravity. The interest in OSp(1|4) supersymmetry has especially grown up in recent years in connection with the famous AdS/CFT correspondence.…”

“…For instance, the theories invariant under rigid supersymmetries in various curved manifolds are now under intensive study (see, e.g. [75], [76]), and they are just generalizations of the AdS supersymmetric models the analysis of which was initiated in [71,72].…”