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We investigate the universality classes of rank-4 colored bipartite U(1)tensor field models near the Gaussian fixed point with the functionalrenormalization group. In a truncation that contains all power countingrelevant and marginal operators, we find a one-dimensional UV attractor that isconnected with the Gaussian fixed point. Hence this is first evidence that themodel could be asymptotically safe due to a mechanism similar to the one foundin the Grosse-Wulkenhaar model, whose UV behavior near the Gaussian fixed pointis also described by one-dimensional attractor that contains the Gaussian fixedpoint. However, the cancellation mechanism that is responsible for thesimultaneous vanishing of the beta functions is new to tensor models, i.e. itdoes not occur in vector or matrix models.

Nontrivial UV behavior of rank-4 tensor field models for quantum gravity