The \(1 / N\) expansion of the symmetric traceless and the antisymmetric tensor models in rank three

DOI10.1007/s00220-019-03551-zzbMath1425.81071arXiv1712.00249OpenAlexW2775170060MaRDI QIDQ2326891

Razvan Gurau, Dario Benedetti, Maciej Kolanowski, Sylvain Carrozza

Publication date: 10 October 2019

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.00249

zbMATH Keywords

antisymmetric tensor models

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Model quantum field theories (81T10) Perturbative methods of renormalization applied to problems in quantum field theory (81T15)

Related Items

Notes on tensor models and tensor field theories, Double scaling limit for the O(N)³-invariant tensor model, Multiple scaling limits of \(\mathrm{U} (N)^2 \times \mathrm{O} (D)\) multi-matrix models, Perturbative quantum field theory on random trees, Universal critical behavior in tensor models for four-dimensional quantum gravity, SYK-like tensor quantum mechanics with $\operatorname{Sp}(N)$ symmetry, Duality of orthogonal and symplectic random tensor models: general invariants, Duality of O(N) and Sp(N) random tensor models: tensors with symmetries, \( \mathcal{N}=\left(0,\;2\right) \) SYK, chaos and higher-spins, On the large D expansion of Hermitian multi-matrix models, A solvable tensor field theory, Diagrammatic proof of the large \(N\) melonic dominance in the SYK model, Melonic turbulence, Diagrammatics of the quartic O(N)3-invariant Sachdev-Ye-Kitaev-like tensor model, On the large N limit of Schwinger-Dyson equations of a rank-3 tensor field theory, Line of fixed points in a bosonic tensor model, Sextic tensor field theories in rank 3 and 5, Melonic large \(N\) limit of \(5\)-index irreducible random tensors, Double scaling limit of multi-matrix models at large D

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regular colored graphs of positive degree
• Colored tensor models -- a review
• 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
• A supersymmetric SYK-like tensor model
• Vector models and generalized SYK models
• More on the new large \(D\) limit of matrix models
• The spectrum in the Sachdev-Ye-Kitaev model
• Bi-local holography in the SYK model
• The \(1/N\) expansion of tensor models with two symmetric tensors
• Notes on melonic O(\(N^{q-1}\)) tensor models
• A generalization of Sachdev-Ye-Kitaev
• Quantum chaos and holographic tensor models
• All point correlation functions in SYK
• Tensorial Gross-Neveu models
• Contrasting SYK-like models
• A complex fermionic tensor model in \(d\) dimensions
• A renormalizable SYK-type tensor field theory
• A new large \(N\) expansion for general matrix-tensor models
• The large \(D\) limit of planar diagrams
• A renormalisation group method. I. Gaussian integration and normed algebras
• \(O(N)\) random tensor models
• Tensor models for black hole probes
• TENSOR MODEL FOR GRAVITY AND ORIENTABILITY OF MANIFOLD
• THREE-DIMENSIONAL SIMPLICIAL QUANTUM GRAVITY AND GENERALIZED MATRIX MODELS
• Random Tensors
• Diagrammatics of a colored SYK model and of an SYK-like tensor model, leading and next-to-leading orders
• An SYK-like model without disorder