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

Abstract

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.

arXiv commentv2: references and comments added, results unchanged. v3: corrected an error in some normalization factors

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Cited by in corpus (8)

• Long-range multi-scalar models at three loops
• The tri-fundamental quartic model
• Conformal Symmetry and Composite Operators in the $O(N{)}^3$ Tensor Field Theory
• Reliability of the local truncations for the random tensor models renormalization group flow
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• $SO(3)$-invariant phase of the $O(N{)}^3$ tensor model
• Renormalization group flow of coupled tensorial group field theories: Towards the Ising model on random lattices
• Coupling renormalization flow in the strongly interacting regime of an asymptotically free quantum field theory in four dimensions