The Open UniversitySkip to content

Duality and conformal twisted boundaries in the Ising model

Grimm, Uwe (2003). Duality and conformal twisted boundaries in the Ising model. In: Gazeau, J.-P.; Kerner, R.; Antoine, J.-P.; Métens, S. and Thibon, J.-Y. eds. Group 24: Physical and Mathematical Aspects of Symmetry. Institute of Physics Conference Series (173). Bristol, UK: IOP Publishing Ltd, pp. 395–398.

Full text available as:
PDF (Not Set) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (56Kb)
Google Scholar: Look up in Google Scholar


There has been recent interest in conformal twisted boundary conditions and their realisations in solvable lattice models. For the Ising and Potts quantum chains, these amount to boundary terms that are related to duality, which is a proper symmetry of the model at criticality. Thus, at criticality, the duality-twisted Ising model is translationally invariant, similar to the more familiar cases of periodic and antiperiodic boundary conditions. The complete finite-size spectrum of the Ising quantum chain with this peculiar boundary condition is obtained.

Item Type: Book Chapter
ISBN: 0-7503-0933-4, 978-0-7503-0933-2
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 8291
Depositing User: Uwe Grimm
Date Deposited: 06 Jul 2007
Last Modified: 07 Dec 2010 02:38
Share this page:

Actions (login may be required)

View Item
Report issue / request change

Policies | Disclaimer

© The Open University   + 44 (0)870 333 4340