The Critical Ising Model on a Möbius Strip

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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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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