Chern-Simons theory, link invariants and the Askey-Wilson algebra
Nicolas Crampé,
Luc Vinet,
Meri Zaimi
Abstract:The occurrence of the Askey-Wilson (AW) algebra in the SU (2) Chern-Simons (CS) theory and in the Reshetikhin-Turaev (RT) link invariant construction with quantum algebra U q (su 2 ) is explored. Tangle diagrams with three strands with some of them enclosed in a spin-1/2 closed loop are associated to the generators of the AW algebra. It is shown in both the CS theory and RT construction that the link invariant of these tangles obey the relations of the AW generators. It follows that the expectation values of c… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.