  The physical meaning of the Reflection Equation Algebras of hep-th/0107265
and hep-th/0203110 is elucidated in the context of Wess--Zumino--Witten D-brane
geometry, as determined by couplings of closed-string modes to the D-brane.
Particular emphasis is laid on the role of algebraic fusion of the matrix
generators of the Reflection Equation Algebras. The fusion is shown to induce
transitions among D-brane configurations admitting an interpretation in terms
of RG-driven condensation phenomena.
