Quantum super-spherical pairs
D. Algethami, A. Mudrov, V. Stukopin

TL;DR
This paper introduces quantum super-spherical pairs, a new class of coideal subalgebras in quantum supergroups, which generalize existing quantum symmetric pairs and relate to solutions of graded reflection equations.
Contribution
It defines quantum super-spherical pairs within quantum supergroups, extending the concept of quantum symmetric pairs to a superalgebra setting.
Findings
Defines quantum super-spherical pairs as coideal subalgebras.
Shows their role as isotropy subgroups for graded reflection equations.
Generalizes previous quantum symmetric pair constructions.
Abstract
We introduce quantum super-spherical pairs as coideal subalgebras in general linear and orthosymplectic quantum supergroups. These subalgebras play a role of isotropy subgroups for matrices solving -graded reflection equation. They generalize quantum (pseudo)-symmetric pairs of Letzter-Kolb-Regelskis-Vlaar.
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Taxonomy
TopicsQuantum optics and atomic interactions
