The spectrum of N = 3 string theory on AdS₃ × G/H

We continue the study of string theory on AdS₃ × SU(S)/U(1) and AdS₃ × SO(5)/ SO(3). We compute the spacetime spectrum of the N = 3 super-symmetric dual CFT using worldsheet techniques. The spectrum of chiral primaries coincides for the two models. Unlike N = 4 theories, the building block of the symmetric product in spacetime (corresponding to a single long string) is not by itself in the moduli space of a symmetric product.