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Tensor models provide a way to access the path-integral for discretizedquantum gravity in d dimensions. As in the case of matrix models fortwo-dimensional quantum gravity, the continuum limit can be related to aRenormalization Group fixed point in a setup where the tensor size N serves asthe Renormalization Group scale. We develop functional Renormalization Grouptools for tensor models with a main focus on a rank-3 model forthree-dimensional quantum gravity. We rediscover the double-scaling limit andprovide an estimate for the scaling exponent. Moreover, we identify twoadditional fixed points with a second relevant direction in a truncation of theRenormalization Group flow. The new relevant direction might hint at thepresence of additional degrees of freedom in the corresponding continuum limit.

Flowing to the continuum in discrete tensor models for quantum gravity