Genus expansion of matrix models and \(\hbar\) expansion of KP hierarchy
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Publication:2660205
DOI10.1007/JHEP12(2020)038zbMath1457.81054arXiv2008.06416OpenAlexW3111594457MaRDI QIDQ2660205
Publication date: 29 March 2021
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.06416
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Spinor and twistor methods applied to problems in quantum theory (81R25) Groups and algebras in quantum theory and relations with integrable systems (81R12) Geometry and quantization, symplectic methods (81S10) Matrix models and tensor models for quantum field theory (81T32)
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Quantization of Harer-Zagier formulas, Higher genera Catalan numbers and Hirota equations for extended nonlinear Schrödinger hierarchy, \(W\)-representations of the fermionic matrix and Aristotelian tensor models
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