The Critical Ising Model on a Mobius Strip | Zendy

Shun-ichi Yamaguchi | Zendy

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The Critical Ising Model on a Mobius Strip

Author(s) -

Shun-ichi Yamaguchi

Publication year - 1997

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.97.703

Subject(s) - physics , ising model , majorana , duality (order theory) , fermion , square lattice ising model , invariant (physics) , mathematical physics , boundary value problem , partition function (quantum field theory) , boundary (topology) , theoretical physics , quantum mechanics , pure mathematics , mathematical analysis , mathematics

We study the two-dimensional critical Ising model on a M\"obius strip basedon a duality relation between conformally invariant boundary conditions. Byusing a Majorana fermion field theory, we obtain explicit representations ofcrosscap states corresponding to the boundary states. We also discuss theduality structure of the partition functions.Comment: 6 pages, ptptex, to appear in Prog. Theor. Phy

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