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The complete 1/N expansion of colored tensor models in arbitrary dimension

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arxiv 1102.5759 v1 pith:RQ6D5N2X submitted 2011-02-28 gr-qc hep-th

Razvan Gurau This is my paper · ORCID
classification gr-qchep-th
keywords expansionarbitrarycoloredmodelmodelstensorboulatovcomplete
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In this paper we generalize the results of [1,2] and derive the full 1/N expansion of colored tensor models in arbitrary dimensions. We detail the expansion for the independent identically distributed model and the topological Boulatov Ooguri model.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Melonic Dominance in Subchromatic Sextic Tensor Models

    hep-th 2019-08 conditional novelty 7.0 of 10

    Sextic tensor models with O(N)^r symmetry and r<5 have exactly three maximally-single-trace interaction vertices, and each yields a large N limit dominated by (generalized) melonic diagrams.

  2. Additional constraints for the tensor bootstrap

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    New positivity constraints from open bubbles and color matrices provide sharp bounds on unitary tensor integrals at finite N and probe deviations from Gaussian universality.

  3. Asymptotic safety meets tensor field theory: towards a new class of gravity-matter systems

    hep-th 2025-01 conditional novelty 6.0 of 10

    Adding asymptotically safe gravity to the O(N)^3 tensor field theory converts its asymptotic freedom into an interacting fixed point at a non-zero quartic coupling.

  4. Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory

    hep-th 2019-08 reject novelty 4.0 of 10

    For the rank-4 φ6 tensorial group field theory, the authors derive a Ward-constrained renormalization group flow and report a nontrivial fixed point, but the fixed point's reported values violate their own consistency...

  5. Notes on Tensor Models and Tensor Field Theories

    hep-th 2019-07 unverdicted novelty 2.0 of 10

    Lecture notes introducing the 1/N expansion and melonic limit of tensor models, which yield new conformal field theories.

  6. Asymptotically safe quantum gravity and its phenomenology -- a review

    hep-th 2026-06 unverdicted novelty 1.0 of 10

    Review surveying progress toward realistic asymptotically safe quantum gravity with quantum scale symmetry and observational implications.

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