Real and pseudoreal forms of D=4 complex Euclidean (super)algebras and super-Poincaré/ super-Euclidean r-matrices

摘要

Abstract. We provide the classification of real forms of complex D=4 Euclidean algebra (4; C) = o(4; C))T4C as well as (pseudo)real forms of complex D=4 Euclidean superalgebras (4N; C) for N=1,2. Further we present our results: N=1 and N=2 supersymmetric D=4 Poincare.