Open intersection numbers, matrix models and MKP hierarchy

DOI10.1007/JHEP03(2015)042zbMath1388.81463arXiv1410.1820OpenAlexW3103582185WikidataQ58009639 ScholiaQ58009639MaRDI QIDQ1755002

Xianqiang Yang

Publication date: 31 May 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.1820

zbMATH Keywords

matrix modelsintegrable hierarchiestopological strings

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Relationships between algebraic curves and integrable systems (14H70) Relationships between algebraic curves and physics (14H81)

Related Items (16)

Integrable systems associated to open extensions of type A and D Dubrovin–Frobenius manifolds ⋮ Open intersection numbers, Kontsevich-Penner model and cut-and-join operators ⋮ The Harer-Zagier recursion for an irregular spectral curve ⋮ Open intersection numbers and free fields ⋮ Bilinear equations in Darboux transformations by boson-fermion correspondence ⋮ Refined open intersection numbers and the Kontsevich-Penner matrix model ⋮ The combinatorial formula for open gravitational descendents ⋮ Symmetries and bilinear equations for the modified BKP hierarchy ⋮ A new generalized constrained modified KP hierarchy ⋮ KP integrability of triple Hodge integrals. II: Generalized Kontsevich matrix model ⋮ The Kontsevich-Penner matrix integral, isomonodromic tau functions and open intersection numbers ⋮ Open KdV hierarchy of 2d minimal gravity of Lee-Yang series ⋮ Open KdV hierarchy and minimal gravity on disk ⋮ On affine coordinates of the tau-function for open intersection numbers ⋮ On an extension of the generalized BGW tau-function ⋮ Genus expansion of open free energy in 2d topological gravity

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• ON SOME MATHEMATICAL PROBLEMS OF 2D-GRAVITY AND W_h- GRAVITY
• Open intersection numbers and the wave function of the KdV hierarchy
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• On an Airy matrix model with a logarithmic potential
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