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arxiv: cond-mat/9704039 · v2 · submitted 1997-04-04 · ❄️ cond-mat.stat-mech

The Critical Ising Model on a M\"obius Strip

classification ❄️ cond-mat.stat-mech
keywords boundarycriticaldualityisingmodelobiusstatesstrip
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We study the two-dimensional critical Ising model on a M\"obius strip based on a duality relation between conformally invariant boundary conditions. By using a Majorana fermion field theory, we obtain explicit representations of crosscap states corresponding to the boundary states. We also discuss the duality structure of the partition functions.

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