Permutation invariant Gaussian matrix models

DOI10.1016/j.nuclphysb.2019.114682zbMath1430.81065arXiv1809.07559OpenAlexW2891532090MaRDI QIDQ2295546

Sanjaye Ramgoolam

Publication date: 13 February 2020

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.07559

Mathematics Subject Classification ID

Random matrices (algebraic aspects) (15B52) Semigroups in automata theory, linguistics, etc. (20M35) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Symmetric groups (20B30) Matrix models and tensor models for quantum field theory (81T32)

Related Items (4)

Gaussianity and typicality in matrix distributional semantics ⋮ Permutation invariant Gaussian two-matrix models ⋮ Hidden symmetries and large \(N\) factorisation for permutation invariant matrix observables ⋮ Generating functions for giant graviton bound states

Cites Work

• The limiting distributions of large heavy Wigner and arbitrary random matrices
• The large \(N\) limit of superconformal field theories and supergravity
• Free field primaries in general dimensions: counting and construction with rings and modules
• Freeness over the diagonal for large random matrices
• Linguistic matrix theory
• Partition algebras and the invariant theory of the symmetric group
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