N=1 superconformal operator product expansions and superfield fusion rules

Abstract

The N=1 superfield OPEs are constructed in an explicit form. A new type of superfield fusion rules (even, odd and even-odd) are found in the case of the discrete series of unitary representations of the N=1 Neveu-Schwarz algebra. Examination of the N=1 superfield OPE algebras shows and that the N=2 superconformal algebra arises as a subalgebra in the c=1 superconformal ( N=1) minimal model, interpreted earlier as the Kosterlitz-Thouless point of the critical O(2) gaussian model.