Diagonal Ising susceptibility: elliptic integrals, modular forms and Calabi–Yau equations

DOI10.1088/1751-8113/45/7/075205zbMath1273.82008arXiv1110.1705OpenAlexW3099819487MaRDI QIDQ3224919

Michael Assis, M.van Hoeij, S. Hassani, Barry M. McCoy, Jean-Marie Maillard, Salah Boukraa

Publication date: 13 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/1110.1705

zbMATH Keywords

Ising modelmagnetic susceptibilityCalabi-Yau equations

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) 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)

Related Items (6)

Schwarzian conditions for linear differential operators with selected differential Galois groups ⋮ The hypergeometric series for the partition function of the 2D Ising model ⋮ On the diagonal susceptibility of the two-dimensional Ising model ⋮ Diagonals of rational functions, pullbacked $\boldsymbol{_2F_1}$ hypergeometric functions and modular forms ⋮ Modular forms, Schwarzian conditions, and symmetries of differential equations in physics ⋮ The lambda extensions of the Ising correlation functions C(M,N)

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