In this paper we introduce a simple field theoretic version of theCarrozza-Tanasa-Klebanov-Tarnopolsky (CTKT) "uncolored" holographic tensormodel. It gives a more familiar interpretation to the previously abstract modesof the SYK or CTKT models in terms of momenta. We choose for the tensorpropagator the usual Fermionic propagator of condensed matter, with a sphericalFermi surface, but keep the CTKT interactions. Hence our field theory can alsobe considered as an ordinary condensed matter model with a non-local andnon-rotational invariant interaction. Using a multiscale analysis we prove thatthis field theory is just renormalizable to all orders of perturbation theoryin the ultraviolet regime.
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