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 discuss a conjecture that the twisted transfer matrix of the six-vertexmodel at roots of unity with some discrete twist angles should have the sl(2)loop algebra symmetry. As an evidence of this conjecture, we show the followingmathematical result on a subalgebra of the sl(2) loop algebra, which we call aBorel subalgebra: any given finite-dimensional highest weight representation ofthe Borel subalgebra is extended into that of the sl(2) loop algebra, if theparameters associated with it are nonzero. Thus, if operators commuting oranti-commuting with the twisted transfer matrix of the six-vertex model atroots of unity generate the Borel subalgebra, then they also generate the sl(2)loop algebra. The result should be useful for studying the connection of thesl(2) loop algebra symmetry to the Onsager algebra symmetry of thesuperintegrable chiral Potts model.

Extension of a Borel subalgebra symmetry into the sl(2) loop algebra  symmetry for the twisted XXZ spin chain at roots of unity and the Onsager  algebra