RG-FIXED-POINTS IN 6-DIMENSIONS VIA BRANES AT ORBIFOLD SINGULARITIES

We discuss a set of generalized, necessary conditions for non-trivial, interacting fixed points in six-dimensional supersymmetric field theo ries. We use string theory to argue for the existence of infinite fami lies of interacting RG fixed point theories. The theories are based on certain gauge groups and matter content, which we identify, along wit h additional tensor multiplets. They are conjectured to arise in the w orld-volume of Type I D5 branes at orbifold singularities. (C) 1997 El sevier Science B.V.