Fermionic reflection matrices

Abstract: We consider the insertion of integrable boundaries for a class of supersymmetric quantum models. The generic conditions for constructing purely bosonic, purely fermionic or mixed type solutions of the graded reflection equation are extracted. Focusing on models associated with gl(m|n) or Uq(gl(m|n)) symmetry, we first consider purely bosonic reflection matrices with special structures, for general values of m, n. These solutions provide the bosonic parts to construct fuller reflection matrices, containing fermionic degrees of freedom as well.