On boundary super algebras

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.

23 pages, Latex. Minor modifications

References in corpus (5)

• Nested Bethe ansatz for `all' open spin chains with diagonal boundary conditions
• Nested Bethe ansatz for Y(gl(n)) open spin chains with diagonal boundary conditions
• (Quantum) twisted Yangians: symmetry, Baxterisation and centralizers
• Contracted and expanded integrable structures
• New reflection matrices for the U_q(gl(m|n)) case

Cited by in corpus (5)

• Yangian symmetry of the Y=0 maximal giant graviton
• Repulsons in the Myers-Perry Family
• On the ${\mathcal{U}}_q[sl(2)]$ Temperley-Lieb reflection matrices
• New reflection matrices for the U_q(gl(m|n)) case
• Reflection algebras for sl(2) and gl(1|1)