The AdS/CFT correspondence, a useful tool in the study of strongly coupled physics, relates fields, including gravity, in a d+1 dimensional asymptotically AdS space-time to operators in a d-dimensional Conformal Field Theory (CFT), in a one-to-one correspondence. The extra spatial dimension appearing in the gravitational side of the duality, the holographic dimension, is in correspondence with an energy scale on the QFT side: fields evolving along the holographic dimension are dual to renormalization group flows of couplings to the dual QFT operators. In this talk I will present some classes of solutions on the gravitational side which are associated with exotic RG flows in QFT. These exotic RG flows are non-perturbative and may suggest that there is more in QFT than we currently believe.