Quantum supertwistors and fundamental superspaces

Abstract

Superspace may be interpreted as a space of parameters of coherent states which define the basis for an unitary irreducible representation of the superconformal group SU(2,2| N). It is shown that in the case of extended supersymmetry such an approach leads to the separation of a class of superspaces and its group of motion. They are a straightforward generalization of the N = 1 chiral superspace and are parametrized with additional n × q( n + q = N) bosonic variables.