Two-dimensional Yang–Mills theory, Painlevé equations and the six-vertex model

DOI10.1088/1751-8113/45/8/085401zbMath1238.81164arXiv1102.3640OpenAlexW1973945324MaRDI QIDQ3225318

Miguel Tierz, Richard J. Szabo

Publication date: 19 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/1102.3640

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on lattices (81T25) Statistical mechanics of ferroelectrics (82D45) Exactly solvable models; Bethe ansatz (82B23) Eta-invariants, Chern-Simons invariants (58J28) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (6)

Emptiness formation probability of the six-vertex model and the sixth Painlevé equation ⋮ A symmetry reduction technique for higher-order Painlevé systems ⋮ Continuous representations of scalar products of Bethe vectors ⋮ Transmutation of a trans-series: the Gross-Witten-Wadia phase transition ⋮ New differential equations in the six-vertex model ⋮ Supersymmetric \(U(N)\) Chern-Simons-matter theory and phase transitions

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