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Quantum Gravity and Random Tensors

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arxiv 2401.13510 v2 pith:XMT5UXWE submitted 2024-01-24 hep-th

Razvan Gurau , Vincent Rivasseau This is my paper · ORCID
classification hep-th
keywords randomfieldquantumtheoriesgravityparttensortensors
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abstract

Random tensors are the natural generalization of random matrices to higher order objects. They provide generating functions for random geometries and, assuming some familiarity with random matrix theory and quantum field theory, we discuss in the first part of this note the applications of such models to quantum gravity. In a second part we review tensor field theories, that is standard field theories in $\mathbb{R}^d$ but with tensor fields, which lead to a new family of large $N$ conformal field theories relevant for the study of the $AdS/CFT$ correspondence.

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Cited by 3 Pith papers

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  1. Twofold universality of large-$N$ melonic random tensors

    math.CO 2026-07 conditional novelty 7.0 of 10

    Large-N melonic tensor integrals are universal: they depend only on vertex counts, not on tensor rank D≥3 or the fine-grained combinatorics of the melonic invariants.

  2. Tensorial free convolution, semicircular, free Poisson and R-transform in high order

    math.OA 2024-12 conditional novelty 6.0 of 10

    Tensorial free convolution and an additive R-transform are defined for measures coming from tensor freeness, with high-order semicircular and free Poisson laws and convergence theorems.

  3. Quantum Gravity, Hydrodynamics and Emergent Cosmology: A Collection of Perspectives

    gr-qc 2024-11 unverdicted novelty 4.0 of 10

    The paper argues that an effective 'hydrodynamics on superspace' framework, realized in TGFT condensate cosmology, can unify quantum gravity and cosmology.

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