Euclidean supersymmetry with different self-dual and anti-dual sectors

Abstract

A new global N=2, D=4 real euclidean supersymmetry is proposed, in which the self-dual rotations SU R(2) are supersymmetrized via the replacement SU R(2)→SU R(2; 1) while the anti-dual rotations SU L(2) remain unsupersymmetrized. Such a scheme provides a possible mechanism for T-noninvariance. Our superalgebra is defined by a suitable self-contraction of the D=4 euclidean de-Sitter superalgebra and constitutes one of the real extensions of the complex Konopel'chenko superalgebra. The corresponding euclidean superspace formalism (supervielbein, supercovariant derivatives in superspace) is obtained.