Differential algebra on lattice Green functions and Calabi–Yau operators

DOI10.1088/1751-8113/47/9/095203zbMath1288.82007arXiv1311.2470OpenAlexW2045604897MaRDI QIDQ5409901

S. Hassani, Jean-Marie Maillard, Jacques-Arthur Weil, Salah Boukraa

Publication date: 15 April 2014

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

Full work available at URL: https://arxiv.org/abs/1311.2470

zbMATH Keywords

differential Galois groupsself-adjoint operatorslattice Green functionsCalabi-Yau ODEsIsing model operators

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Differential algebra (12H05)

Related Items (6)

Darboux transformations for orthogonal differential systems and differential Galois theory ⋮ Schwarzian conditions for linear differential operators with selected differential Galois groups ⋮ No-neighbours recurrence schemes for space-time Green’s functions on a 3D simple cubic lattice ⋮ Diagonals of rational functions, pullbacked $\boldsymbol{_2F_1}$ hypergeometric functions and modular forms ⋮ Differential Galois Theory and Integration ⋮ Factorization of Ising correlations C(M, N) for ν = −k and M + N odd, M ⩽ N, T < T _c and their lambda extensions

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