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

Abstract

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.

33 pages. Journal of Statistical Physics, vol. 107: 1167-1204 (2002)

References in corpus (3)

• Generalised twisted partition functions
• Finite-size scaling for the Ising model on the Moebius strip and the Klein bottle
• Close-packed dimers on nonorientable surfaces

Cited by in corpus (8)

• Topological Defects on the Lattice I: The Ising model
• TFT construction of RCFT correlators II: Unoriented world sheets
• Using Superconducting Qubit Circuits to Engineer Exotic Lattice Systems
• Universal entropy of conformal critical theories on a Klein bottle
• Dimers on graphs in non-orientable surfaces
• Crosscap states and duality of Ising field theory in two dimensions
• Lattice Realizations of the Open Descendants of Twisted Boundary Conditions for sl(2) A-D-E Models
• Ising Model on Twisted Lattice and Holographic RG flow