English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We consider an unified model, called ancestor model, associated with twistedtrigonometric $R$ matrix which model leads to several descendant integrablelattice models related to the U$_{q^{1/2}}(\hat{sl_2})$ symmetry. Boundaryoperators compatible with integrability are introduced to this model.Reflection and dual reflection equations to ensure integrability of the systemare shown to be same as the untwisted case. It follows that underlying symmetryof the ancestor model with integrable boundaries is identified with theq-deformed analogue of Onsager's symmetry. The transfer matrix and its relatedmutually commuting quantities are expressed in terms of an abelian subalgebrain the $q$-Onsager algebra. It is illustrated that the generalized McCoy-Wumodel with general open boundaries enjoys this symmetry.

q-Deformed Onsager symmetry in boundary integrable models related to twisted U$_{q^{1/2}}(\hat{sl_2})$ symmetry