Duality and conformal twisted boundaries in the Ising model

Details Duality and conformal twisted boundaries in the Ising model Duality and conformal twisted boundaries in the Ising model

2002-09-05

arxiv.org/abs/hep-th/0209048v2

in: GROUP 24: Physical and Mathematical Aspects of Symmetries, edited by J.-P. Gazeau, R. Kerner, J.P. Antoine, S. Metens and

Physics

High Energy Physics

High Energy Physics - Theory

Talk given at GROUP24 in Paris (July 2002), to appear in the Proceedings; LaTeX, 4 pages, IOP styles

Scientific paper

There has been recent interest in conformal twisted boundary conditions and their realisations in solvable lattice models. For the Ising and Potts quantum chains, these amount to boundary terms that are related to duality, which is a proper symmetry of the model at criticality. Thus, at criticality, the duality-twisted Ising model is translationally invariant, similar to the more familiar cases of periodic and antiperiodic boundary conditions. The complete finite-size spectrum of the Ising quantum chain with this peculiar boundary condition is obtained.

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