Lattice Integrals of Motion of the Ising Model on the Cylinder

Abstract

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.

questions,critiques and constructive comments are welcome, minor changes

References in corpus (2)

• Integrals of Motion for Critical Dense Polymers and Symplectic Fermions
• On the Integrable Structure of the Ising Model

Cited by in corpus (2)

• Integrability and conformal data of the dimer model
• Lattice Integrals of Motion of the Ising Model on the Strip