# The Ising model and special geometries

@article{Boukraa2014TheIM,
title={The Ising model and special geometries},
author={Salah Boukraa and Saoud Hassani and J-M Maillard},
journal={Journal of Physics A: Mathematical and Theoretical},
year={2014},
volume={47}
}
• Published 25 February 2014
• Mathematics
• Journal of Physics A: Mathematical and Theoretical
We show that the globally nilpotent G-operators corresponding to the factors of the linear differential operators annihilating the multifold integrals χ(n) of the magnetic susceptibility of the Ising model (n ⩽ 6) are homomorphic to their adjoint. This property of being self-adjoint up to operator homomorphisms is equivalent to the feature of their symmetric squares, or their exterior squares, having rational solutions. The differential Galois groups are in the special orthogonal, or symplectic…
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