# Sextic tensor field theories in rank 3 and 5

@article{Benedetti2019SexticTF, title={Sextic tensor field theories in rank 3 and 5}, author={Dario Benedetti and Nicolas Delporte and Sabine Harribey and Ritam Sinha}, journal={Journal of High Energy Physics}, year={2019}, volume={2020}, pages={1-42} }

We study bosonic tensor field theories with sextic interactions in d < 3 dimensions. We consider two models, with rank-3 and rank-5 tensors, and U( N ) 3 and O ( N ) 5 symmetry, respectively. For both of them we consider two variations: one with standard short-range free propagator, and one with critical long-range propagator, such that the sextic interactions are marginal in any d < 3. We derive the set of beta functions at large N , compute them explicitly at four loops, and identify the… Expand

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