Geometry and Integrability in Mathematical Physics GIMP'06
May 15 - 19, 2006, Moscow, Russia
Vincent Pasquier
SPhT CEA Saclay, France
Polynomials interpolating between the ground state of a O(n) model and a Q.H.E. wave function
(joint work with M.Kasatani)
I will explain how one can deform the stationary state of a loop model into a quantum Hall effect wave function. Mathematically, this amounts to study some representation of the affine Hecke algebra on a space of polynomials obeying cancellation conditions (which in some cases are called wheel conditions) when several variables come close together. I will also explain the relation between representations of the AHA and CFT.
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