From Holonomy of the Ising Model Form Factors to n-Fold Integrals and the Theory of Elliptic Curve

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2007
• Main Authors: Boukraa, S., Hassani, S., Maillard, Jean-Marie, Zenine, N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147201
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: From Holonomy of the Ising Model Form Factors to n-Fold Integrals and the Theory of Elliptic Curve / S. Boukraa, S. Hassani, Jean-Marie Maillard, N. Zenine // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 130 назв. — англ.

We recall the form factors f(j)N,N corresponding to the l-extension C(N,N; l) of the two-point diagonal correlation function of the Ising model on the square lattice and their associated linear differential equations which exhibit both a "Russian-doll" nesting, and a decomposition of the l...