On non-supersymmetric fixed points in five dimensions

Abstract

We generalize recent results regarding the phase space of the mass deformed E1 fixed point to a full class of five-dimensional superconformal field theories, known as X1,N. As in the E1 case, a phase transition occurs as a supersymmetry preserving and a supersymmetry breaking mass deformations are appropriately tuned. The order of such phase transition could not be unequivocally determined in the E1 case. For X1,N, instead, we can show that at large N there exists a regime where the phase transition is second order. Our findings give supporting evidence for the existence of non-supersymmetric fixed points in five dimensions.