Trisections in colored tensor models

DOI10.4171/aihpd/167MaRDI QIDQ6567180

Reiko Toriumi, Unnamed Author

Publication date: 4 July 2024

Published in: Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (Search for Journal in Brave)

zbMATH Keywords

graph theorytensor modelsdiscrete topologycolored graphstrisectionsPLpiecewise linear topologygraph encoding manifolds

Mathematics Subject Classification ID

Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Combinatorial aspects of simplicial complexes (05E45) Matrix models and tensor models for quantum field theory (81T32)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Liouville quantum gravity on the Riemann sphere
• New \(1/N\) expansions in random tensor models
• Invitation to random tensors
• Uniqueness and universality of the Brownian map
• The Brownian map is the scaling limit of uniform random plane quadrangulations
• Colored tensor models -- a review
• Renormalizable models in rank \({d \geq 2}\) tensorial group field theory
• Melons are branched polymers
• The multiscale loop vertex expansion
• Trisecting 4-manifolds
• The complete 1/\(N\) expansion of a SYK-like tensor model
• Colored group field theory
• The \(1/N\) expansion of colored tensor models
• A generalization of the Virasoro algebra to arbitrary dimensions
• Critical behavior of colored tensor models in the large \(N\) limit
• Quantum information processing and composite quantum fields
• A supersymmetric SYK-like tensor model
• Vector models and generalized SYK models
• Random matrices and holographic tensor models
• Vanishing of beta function of non-commutative \(\Phi_4^4\) theory to all orders
• Exact renormalisation group equations and loop equations for tensor models
• Flowing in group field theory space: a review
• Large \(N\) limits in tensor models: towards more universality classes of colored triangulations in dimension \(d\geq 2\)
• Renormalisation of noncommutative \(\phi^4\)-theory by multi-scale analysis
• Renormalization of the noncommutative \(\phi^3\) model through the Kontsevich model
• Enhancing non-melonic triangulations: a tensor model mixing melonic and planar maps
• Crystallisation moves
• A graph-theoretical representation of PL-manifolds -- a survey on crystallizations
• Generating all orientable n-manifolds from (n-1)-complexes
• Intersection theory on the moduli space of curves and the matrix Airy function
• One-sided Heegaard splittings of 3-manifolds
• More on the new large \(D\) limit of matrix models
• Flowing to the continuum limit in tensor models for quantum gravity
• The \(1/N\) expansion of tensor models with two symmetric tensors
• Exact solution of matricial \(\Phi_2^3\) quantum field theory
• Quantum chaos and holographic tensor models
• The \(\Phi_4^3\) and \(\Phi_6^3\) matricial QFT models have reflection positive two-point function
• SYK-like tensor models on the lattice
• On large \(N\) limit of symmetric traceless tensor models
• Towards a finite-\(N\) hologram
• Ward identity violation for melonic \(T^{4}\)-truncation
• Topology in colored tensor models via crystallization theory
• Functional renormalisation group approach for tensorial group field theory: a rank-3 model
• Renormalisation of \(\phi^4\)-theory on noncommutative \(\mathbb R^{4}\) in the matrix base
• A renormalizable 4-dimensional tensor field theory
• Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding
• Self-dual noncommutative \(\phi^4\)-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory
• Liouville quantum gravity and the Brownian map. I: The \(\text{QLE}(8/3,0)\) metric
• Melonic turbulence
• A new large \(N\) expansion for general matrix-tensor models
• Linguistic matrix theory
• The large \(D\) limit of planar diagrams
• Discrete renormalization group for \(\mathrm{SU}(2)\) tensorial group field theory
• Analyticity results for the cumulants in a random matrix model
• \(O(N)\) random tensor models
• Multi-critical behaviour of 4-dimensional tensor models up to order 6
• The complete \(1/N\) expansion of colored tensor models in arbitrary dimension
• Renormalization of tensorial group field theories: abelian \(\mathrm U(1)\) models in four dimensions
• Renormalization of a \(\mathrm{SU}(2)\) tensorial group field theory in three dimensions
• The \(1/N\) expansion of tensor models beyond perturbation theory
• Liouville quantum gravity and the Brownian map. III: The conformal structure is determined
• The tensor track, III
• Classification of trisections and the Generalized Property R Conjecture
• Polchinski’s exact renormalisation group for tensorial theories: Gaußian universality and power counting
• Random Tensors
• Lost in translation: topological singularities in group field theory
• Parametric representation of rank d tensorial group field theory: Abelian models with kinetic term ∑sps+μ
• Universality inp-spin glasses with correlated disorder
• Linearized group field theory and power-counting theorems
• Extending the Concept of Genus to Dimension N
• Renormalizable enhanced tensor field theory: The quartic melonic case
• Colored Discrete Spaces
• Blobbed topological recursion for the quartic melonic tensor model
• Two- and four-loop β-functions of rank-4 renormalizable tensor field theories
• Calculating the homology and intersection form of a 4-manifold from a trisection diagram
• Computing trisections of 4-manifolds
• Generalized trisections in all dimensions
• Tensorial Methods and Renormalization in Group Field Theories
• Scaling limits of random trees and planar maps
• An SYK-like model without disorder

This page was built for publication: Trisections in colored tensor models