Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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1997-04-04

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1143/PTP.97.703

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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