nLab
superspace

Physicists often refer to a supersymmetric analogues of manifold-like spaces as superspaces, regardless the formalism. Hence a superspace can be an affine superspace (the affine counterpart of the supervector space over real or complex numbers), superscheme, supermanifold (of either Leites or de Witt kind) etc.

• I. L. Buchbinder, S. M. Kuzenko, Ideas and methods of supersymmetry and supergravity; or A walk through superspace
• Albert Schwarz, On the definition of superspace Teoret. Mat. Fiz., 1984, Volume 60, Number 1, Pages 37–42 (Mi tmf5111), (russian original)

Cf. also supermanifold, supersymmetry