Solitonic sectors, alpha-induction and symmetry breaking boundaries

Abstract

We develop a systematic approach to boundary conditions that break bulk symmetries in a general way such that left and right movers are not necessarily connected by an automorphism. In the context of string compactifications, such boundary conditions typically include non-BPS branes. Our formalism is based on two dual fusion rings, one for the bulk and one for the boundary fields. Only in the Cardy case these two structures coincide. In general they are related by a version of alpha-induction. Symmetry breaking boundary conditions correspond to solitonic sectors. In examples, we compute the annulus amplitudes and boundary states.

arXiv comment13 pages, LaTeX2e; v2: typos corrected

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• The charges of a twisted brane
• D-branes in an asymmetric orbifold
• D-Branes on ALE Spaces and the ADE Classification of Conformal Field Theories
• Novel construction of boundary states in coset conformal field theories
• Boundary Rings and N=2 Coset Models
• Critical Phenomena, modular invariants and operator algebras
• Twisted boundary states and representation of generalized fusion algebra
• Orientation matters for NIMreps
• Twisted conjugacy classes, coadjoint orbits of loop groups and D-branes in the WZW-model
• Charges of twisted branes: the exceptional cases
• Twisted brane charges for non-simply connected groups
• An algorithm for twisted fusion rules
• Open Descendents of U(2N) Orbifolds at Rational Radii
• Gepner-like boundary states on $T^4$