Wednesday, March 28, 2012

1010.4426 (Alessandro Nigro)

Lattice Integrals of Motion of the Ising Model on the Cylinder    [PDF]

Alessandro Nigro
We consider the 2D critical Ising model with spatially periodic boundary conditions. It is shown that for a suitable reparametrization of the known Boltzmann weights the transfer matrix becomes a polynomial in the variable $\csc(4u)$, being $u$ the spectral parameter. The coefficients of this polynomial are decomposed on the periodic Temperley-Lieb Algebra by introducing a lattice version of the Local Integrals of Motion.
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