From Kronecker to tableau pseudo-characters in tensor models

DOI10.1016/j.physletb.2018.11.008zbMath1404.20007arXiv1808.07783OpenAlexW2888113248WikidataQ128908856 ScholiaQ128908856MaRDI QIDQ1712946

Peng Zhang

Publication date: 24 January 2019

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

Full work available at URL: https://arxiv.org/abs/1808.07783

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Model quantum field theories (81T10) Applications of group representations to physics and other areas of science (20C35)

Related Items (13)

Quantization of Harer-Zagier formulas ⋮ Extensions of the asymptotic symmetry algebra of general relativity ⋮ BPS states, conserved charges and centres of symmetric group algebras ⋮ Complete solution to Gaussian tensor model and its integrable properties ⋮ Hook variables: cut-and-join operators and \(\tau \)-functions ⋮ Spontaneous symmetry breaking in tensor theories ⋮ Cut-and-join operators and Macdonald polynomials from the 3-Schur functions ⋮ Entanglement content of quantum particle excitations. II: Disconnected regions and logarithmic negativity ⋮ Kerov functions for composite representations and Macdonald ideal ⋮ Generalized cut operation associated with higher order variation in tensor models ⋮ \(W\)-representation of rainbow tensor model ⋮ Notes about the KP/BKP correspondence ⋮ \(W\)-representations of the fermionic matrix and Aristotelian tensor models

Cites Work

• The complete 1/\(N\) expansion of a SYK-like tensor model
• Critical behavior of colored tensor models in the large \(N\) limit
• Ward identities and combinatorics of rainbow tensor models
• Cut and join operator ring in tensor models
• Correlators in tensor models from character calculus
• \(O(N)\) random tensor models
• Rainbow tensor model with enhanced symmetry and extreme melonic dominance
• On the complete perturbative solution of one-matrix models
• Holographic hierarchy in the Gaussian matrix model via the fuzzy sphere
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