Brane Bulk Couplings and Condensation from REA Fusion

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.

13 pages; an essentially re-structured version of the paper to appear in JHEP

References in corpus (6)

• Loop Operators and the Kondo Problem
• Lectures on Branes in Curved Backgrounds
• On universal solution to reflection equation
• Algebraic brane dynamics on SU(2): excitation spectra
• Quantum Matrix Models for Simple Current Orbifolds
• Twisted WZW Branes from Twisted REA's

Cited by in corpus (2)

• Defects, dualities and the geometry of strings via gerbes. I. Dualities and state fusion through defects
• Non-commutative Weitzenboeck geometry, gerbe modules, and WZW branes