Brane Bulk Couplings and Condensation from REA Fusion

TL;DR

This paper clarifies the physical significance of Reflection Equation Algebras in Wess--Zumino--Witten D-brane geometry, highlighting how algebraic fusion relates to D-brane transitions and condensation phenomena.

Contribution

It demonstrates that algebraic fusion of Reflection Equation Algebra generators induces D-brane configuration transitions interpreted as RG-driven condensation.

Findings

Fusion induces transitions among D-brane configurations.

Fusion corresponds to RG-driven condensation phenomena.

Provides a physical interpretation of Reflection Equation Algebras in string theory.

Abstract

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.