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arXiv · 1211.2714

Lattice Integrals of Motion of the Ising Model on the Strip

Alessandro Nigro
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Abstract

We consider the 2D critical Ising model on a strip with fixed 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 fixed boundaries Temperley-Lieb Algebra by introducing a lattice version of the Local Integrals of Motion.

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Alessandro Nigro. 2012-11-12. Lattice Integrals of Motion of the Ising Model on the Strip. https://arxiv.org/abs/1211.2714

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