Hints of unitarity at large $N$ in the $O(N)^3$ tensor field theory

Dario Benedetti (1) , Razvan Gurau (2, 1) , Sabine Harribey (1) , Kenta Suzuki (1)

1 CPHT - Centre de Physique Théorique [Palaiseau]
2 Perimeter Institute for Theoretical Physics [Waterloo]

We compute the OPE coefficients of the bosonic tensor model of \cite{Benedetti:2019eyl} for three point functions with two fields and a bilinear with zero and non-zero spin. We find that all the OPE coefficients are real in the case of an imaginary tetrahedral coupling constant, while one of them is not real in the case of a real coupling. We also discuss the operator spectrum of the free theory based on the character decomposition of the partition function.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Dario Benedetti, Razvan Gurau, Sabine Harribey, Kenta Suzuki. Hints of unitarity at large $N$ in the $O(N)^3$ tensor field theory. Journal of High Energy Physics, 2020, ⟨10.1007/JHEP02(2020)072⟩. ⟨hal-02337364⟩