TL;DR
This paper studies how boundary conditions in integrable models break super algebra symmetries, analyzing reflection algebras and twisted super Yangians, and deriving boundary symmetry generators and Casimir operators.
Contribution
It introduces explicit boundary symmetry generators and Casimir operators for super algebras under integrable boundary conditions, advancing understanding of boundary symmetry breaking.
Findings
Derived explicit boundary symmetry generators.
Provided Casimir operators for boundary algebras.
Analyzed symmetry breaking in super algebras with boundaries.
Abstract
We examine the symmetry breaking of super algebras due to the presence of appropriate integrable boundary conditions. We investigate the boundary breaking symmetry associated to both reflection algebras and twisted super Yangians. We extract the generators of the resulting boundary symmetry as well as we provide explicit expressions of the associated Casimir operators.
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