Finitized Conformal Spectra of the Ising Model on the Klein Bottle and Möbius Strip

    loading  Checking for direct PDF access through Ovid


We study the conformal spectra of the critical square lattice Ising model on the Klein bottle and Möbius strip using Yang–Baxter techniques and the solution of functional equations. In particular, we obtain expressions for the finitized conformal partition functions in terms of finitized Virasoro characters. This demonstrates that Yang–Baxter techniques and functional equations can be used to study the conformal spectra of more general exactly solvable lattice models in these topologies. The results rely on certain properties of the eigenvalues which are confirmed numerically.

Related Topics

    loading  Loading Related Articles