Reflection K matrices associated with an Onsager coideal of Up(An−1(1)), Up(Bn(1)), Up(Dn(1)) and Up(Dn+1(2)). (21st August 2019)

• Record Type: Journal Article
• Authors: Kuniba, Atsuo; Okado, Masato; Yoneyama, Akihito
• Is Part Of: Journal of physics. Volume 52:Number 37(2019)
• Publication Date: 2019-08-21
• Subjects: reflection equation -- quantum group -- matrix product method -- quantum integrable system -- Yang–Baxter equation -- Onsager algebra -- coideal subalgebra; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/ab3715
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: We determine the intertwiners of a family of Onsager coideal subalgebras of the quantum affine algebra in the fundamental representations and in the spin representations. They reproduce the reflection K matrices obtained recently by the matrix product construction connected to the three dimensional integrability. In particular the present approach provides the first proof of the reflection equation for the non type A cases.