Large \(N\) limits in tensor models: towards more universality classes of colored triangulations in dimension \(d\geq 2\)
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Publication:739886
DOI10.3842/SIGMA.2016.073zbMath1343.05059arXiv1603.03570MaRDI QIDQ739886
Publication date: 11 August 2016
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.03570
Planar graphs; geometric and topological aspects of graph theory (05C10) Feynman diagrams (81T18) Quantization of the gravitational field (83C45) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Coloring of graphs and hypergraphs (05C15)
Related Items (15)
Double scaling limit for the O(N)3-invariant tensor model ⋮ Inequivalent coherent state representations in group field theory ⋮ Counting gluings of octahedra ⋮ Multi-critical behaviour of 4-dimensional tensor models up to order 6 ⋮ A phase transition in block-weighted random maps ⋮ Constructive tensor field theory: the \(T_{4}^{4}\) model ⋮ Quantum Spacetime and the Renormalization Group: Progress and Visions ⋮ Diagrammatics of a colored SYK model and of an SYK-like tensor model, leading and next-to-leading orders ⋮ Diagrammatic proof of the large \(N\) melonic dominance in the SYK model ⋮ Intermediate field representation for positive matrix and tensor interactions ⋮ Blobbed topological recursion for the quartic melonic tensor model ⋮ On the large N limit of Schwinger-Dyson equations of a rank-3 tensor field theory ⋮ A new large \(N\) expansion for general matrix-tensor models ⋮ Conformal symmetry and composite operators in the \(O(N )^3\) tensor field theory ⋮ Double scaling limit of multi-matrix models at large D
Cites Work
- Unnamed Item
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- The double scaling limit of random tensor models
- Universality and Borel summability of arbitrary quartic tensor models
- The multi-orientable random tensor model, a review
- Revisiting random tensor models at large \(N\) via the Schwinger-Dyson equations
- New \(1/N\) expansions in random tensor models
- Regular colored graphs of positive degree
- Melonic phase transition in group field theory
- Colored tensor models -- a review
- Melons are branched polymers
- Universality for random tensors
- Colored triangulations of arbitrary dimensions are stuffed Walsh maps
- 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
- Enhancing non-melonic triangulations: a tensor model mixing melonic and planar maps
- Crystallisation moves
- Hypermaps versus bipartite maps
- Non-perturbative solution of matrix models modified by trace-squared terms
- Correlation functions in matrix models modified by wormhole terms
- A renormalizable 4-dimensional tensor field theory
- The Schwinger Dyson equations and the algebra of constraints of random tensor models at all orders
- Analyticity results for the cumulants in a random matrix model
- \(O(N)\) random tensor models
- The complete \(1/N\) expansion of colored tensor models in arbitrary dimension
- Counting tensor model observables and branched covers of the 2-sphere
- 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
- Renormalization of an abelian tensor group field theory: solution at leading order
- A Givental-like formula and bilinear identities for tensor models
- TENSOR MODEL FOR GRAVITY AND ORIENTABILITY OF MANIFOLD
- THREE-DIMENSIONAL SIMPLICIAL QUANTUM GRAVITY AND GENERALIZED MATRIX MODELS
- NEW CRITICAL BEHAVIOR IN d = 0 LARGE-N MATRIX MODELS
- Lost in translation: topological singularities in group field theory
- Comment on ‘Lost in translation: topological singularities in group field theory’
- Reply to comment on ‘Lost in translation: topological singularities in group field theory’
- Two- and four-loop β-functions of rank-4 renormalizable tensor field theories
- Towards a double scaling limit for tensor models: probing sub-dominant orders
- Tensor models and simplicial quantum gravity in \(>2\)-D
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