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The Critical Ising Model on a Möbius Strip

Shun-ichi Yamaguchi

cond-mat.stat-mecharXiv:cond-mat/9704039

Abstract

We study the two-dimensional critical Ising model on a Möbius 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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