Generic higher-derivativeN=2,d=3gauge theory

On the alternative formulation of the three-dimensional noncommutative superspace

“…Also, one can have the projector-like identities [30] which have no analogues in the four-dimensional superfield theories:…”

“…At the same time, the use of the formulation of N = 2 three-dimensional superspace proposed in [26], and further applied for the quantum calculations in [27][28][29] and [30], seems to be much more advantageous for development of the noncommutative superspace approach, due to the similarity of the N = 2 supersymmetry algebra in three-dimensional theories within this formulation and the N = 1 supersymmetry algebra in the four-dimensional theories. Therefore, in this paper we formulate the noncommutative superspace with the use of the superspace formulation proposed in [26].…”

“…The use of the "mixed" mutually conjugated complex spinor coordinates θ α ,θ α considered earlier in [30], instead of the usual real coordinates θ…”

“…The first step consists in constructing the analogue of the chiral representation for the SUSY algebra different from that one used in [30] (we note that the chiral representation plays a crucial role for formulation of the fermionic noncommutativity, see [3]). Therefore, by using the chiral coordinates…”

Higher derivative terms in three dimensional supersymmetric theories

“…Recently a generic three dimensional supersymmetric gauge theory coupled to matter fields has been constructed [38]. Under various limits this generic action reduces to the supersymmetric Maxwell theory, supersymmetric Maxwell-Chern-Simons, and supersymmetric…”