The Critical Ising Model on a Möbius Strip

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.

6 pages, ptptex, to appear in Prog. Theor. Phys

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