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

Dario Benedetti; Razvan Gurau; Sabine Harribey; Kenta Suzuki

doi:10.1007/JHEP02(2020)072

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

Dario Benedetti
, Razvan Gurau
, Sabine Harribey
, Kenta Suzuki

Research output: Contribution to journal › Article › peer-review

Abstract

Abstract We compute the OPE coefficients of the bosonic tensor model of [1] 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.

Original language	English
Article number	72
Journal	Journal of High Energy Physics
Volume	2020
Issue number	2
DOIs	https://doi.org/10.1007/JHEP02(2020)072
Publication status	Published - 1 Feb 2020

Keywords

1/N Expansion
Conformal Field Theory
Field Theories in Lower Dimensions
Global Symmetries

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10.1007/JHEP02(2020)072

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abstract = "Abstract We compute the OPE coefficients of the bosonic tensor model of [1] 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.",

keywords = "1/N Expansion, Conformal Field Theory, Field Theories in Lower Dimensions, Global Symmetries",

author = "Dario Benedetti and Razvan Gurau and Sabine Harribey and Kenta Suzuki",

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AU - Benedetti, Dario

AU - Gurau, Razvan

AU - Harribey, Sabine

AU - Suzuki, Kenta

PY - 2020/2/1

Y1 - 2020/2/1

N2 - Abstract We compute the OPE coefficients of the bosonic tensor model of [1] 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.

AB - Abstract We compute the OPE coefficients of the bosonic tensor model of [1] 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.

KW - 1/N Expansion

KW - Conformal Field Theory

KW - Field Theories in Lower Dimensions

KW - Global Symmetries

UR - https://www.scopus.com/pages/publications/85079702796

U2 - 10.1007/JHEP02(2020)072

DO - 10.1007/JHEP02(2020)072

M3 - Article

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VL - 2020

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 2

M1 - 72

ER -

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

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Keywords

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