Thermodynamic limit of random partitions and dispersionless Toda hierarchy

DOI10.1088/1751-8113/45/2/025403zbMath1276.81099arXiv1110.0657OpenAlexW1970247191MaRDI QIDQ3118782

Toshio Nakatsu, Kanehisa Takasaki

Publication date: 5 March 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.0657

zbMATH Keywords

integrable systemssupersymmetric gauge theoryrandom partitionsinstanton counting

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Continuum limits in quantum field theory (81T27) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Riemann-Hilbert problems in context of PDEs (35Q15)

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