Physics – Mathematical Physics
Scientific paper
2010-08-05
Physics
Mathematical Physics
19 pages, no figures, typo corrected, references added
Scientific paper
We consider an unified model, called ancestor model, associated with twisted trigonometric $R$ matrix which model leads to several descendant integrable lattice models related to the U$_{q^{1/2}}(\hat{sl_2})$ symmetry. Boundary operators compatible with integrability are introduced to this model. Reflection and dual reflection equations to ensure integrability of the system are shown to be same as the untwisted case. It follows that underlying symmetry of the ancestor model with integrable boundaries is identified with the q-deformed analogue of Onsager's symmetry. The transfer matrix and its related mutually commuting quantities are expressed in terms of an abelian subalgebra in the $q$-Onsager algebra. It is illustrated that the generalized McCoy-Wu model with general open boundaries enjoys this symmetry.
No associations
LandOfFree
q-Deformed Onsager symmetry in boundary integrable models related to twisted U$_{q^{1/2}}(\hat{sl_2})$ symmetry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with q-Deformed Onsager symmetry in boundary integrable models related to twisted U$_{q^{1/2}}(\hat{sl_2})$ symmetry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and q-Deformed Onsager symmetry in boundary integrable models related to twisted U$_{q^{1/2}}(\hat{sl_2})$ symmetry will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-438216