AdS3/CFT2 correspondence and space-time N=3 superconformal algebra

We study a Wess-Zumino-Witten model with target space AdS(3) x (S-3 x S-3 x S-1)/Z(2). This allows us to construct space-time N = 3 superconformal theories. By combining left-, and right-moving parts through a GSO and a Z(2) projections, a new asymmetric (N, (N) over bar) = (3, 1) model is obtained. It has an extra gauge (affine) SU(2) symmetry in the target space of the type IIA string. An associated configuration is realized as slantwise intersecting M5-M2 branes with a Z(2)-fixed plane in the M-theory viewpoint.