Explicit Character Formulae for Positive Energy UIRs of D=4 Conformal Supersymmetry

Abstract

This paper continues the project of constructing the character formulae for the positive energy unitary irreducible representations of the N-extended D=4 conformal superalgebras su(2,2/N). In the first paper we gave the bare characters which represent the defining odd entries of the characters. Now we give the full explicit character formulae for N=1 and for several important examples for N=2 and N=4.

48 pages, TeX with Harvmac, overlap in preliminaries with arXiv:hep-th/0406154; some comments and references added