Pfaffian and determinantal tau functions

DOI10.1007/s11005-015-0786-6zbMath1395.37048arXiv1404.6076OpenAlexW3102940054WikidataQ59427918 ScholiaQ59427918MaRDI QIDQ887144

Alexander Yu. Orlov, Johan W. van de Leur

Publication date: 28 October 2015

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

Full work available at URL: https://arxiv.org/abs/1404.6076

zbMATH Keywords

integrable systemsPfaff latticetau functionsfree fermionsBKPDKPtwo-component Toda lattice

Mathematics Subject Classification ID

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) Infinite-dimensional Lie (super)algebras (17B65) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Related Items (14)

Integrable lattice hierarchies behind Cauchy two-matrix model and Bures ensemble ⋮ BKP tau-functions as square roots of KP tau-functions ⋮ BKP and projective Hurwitz numbers ⋮ Bilinear equations in Darboux transformations by boson-fermion correspondence ⋮ Christoffel transformations for (partial-)skew-orthogonal polynomials and applications ⋮ Matrix quantum mechanics on \(S^1 / \mathbb{Z}_2\) ⋮ Character expansion of matrix integrals ⋮ BKP hierarchy and Pfaffian point process ⋮ Polynomial KP and BKP \(\tau\)-functions and correlators ⋮ Bilinear expansions of lattices of KP τ -functions in BKP τ -functions: A fermionic approach ⋮ 2D Yang–Mills Theory and Tau Functions ⋮ Hurwitz numbers and products of random matrices ⋮ Matrix model for the total descendant potential of a simple singularity of type \(D\) ⋮ Bilinear expansion of Schur functions in Schur Q-functions: A fermionic approach

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