Joint ICTP/SISSA Statistical physics seminar "From holonomy of the non-critical Ising model form factors to n-fold integrals and the theory of elliptic curves, moduli spaces,... and beyond"
Starts 15 Apr 2008 13:30
Ends 15 Apr 2008 20:00
Central European Time
Leonardo da Vinci Building Seminar Room
Strada Costiera, 11
I - 34151 Trieste (Italy)
We recall the form factors 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 linear differential operators as a direct sum of operators.
The scaling limit of these differential operators breaks the direct sum structure but not the "Russian doll'' structure, the "scaled'' linear differential operators being no longer Fuchsian.
We also discuss the nature of the singularities emergingfrom this approach.