A NEW N=6 SUPERCONFORMAL ALGEBRA

In this paper we construct a new N = 6 superconformal algebra which ex tends the Virasoro algebra by the SO6 current algebra, by 6 odd primar y fields of conformal weight 3/2 and by 10 odd primary fields of confo rmal weight 1/2. The commutation relations of this algebra, which we w ill refer to as CK6, are represented by short distance operator produc t expansions (OPE). We construct CK6 as a subalgebra of the SO(6) supe rconformal algebra K-6, thus giving it a natural representation as fir st order differential operators on the circle with N = 6 extended symm etry. We show that CK6 has no nontrivial central extensions.