Symmetry breaking boundaries I. General theory

1999/02/28 by J. Fuchs, Jürgen Fuchs, Christoph Schweigert +1 · 6 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #cond-mat #hep-th

paper · pdf · doi:10.1016/s0550-3213(99)00406-x

published as Nucl.Phys. B558 (1999) 419-483 · 60 pages, LaTeX2e; typos fixed and other minor corrections

arxiv created 1999/08/03 · openalex publication_date 1999/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study conformally invariant boundary conditions that break part of the bulk symmetries. A general theory is developped for those boundary conditions for which the preserved subalgebra is the fixed algebra under an abelian orbifold group. We explicitly construct the boundary states and reflection coefficients as well as the annulus amplitudes. Integrality of the annulus coefficients is proven in full generality.

Citations

• On the operator content of nilpotent orbifold models
• Boundary structure constants for the A-series Virasoro minimal models
• Dirichlet Branes and Ramond-Ramond Charges
• THE BOUNDARY AND CROSSCAP STATES IN CONFORMAL FIELD THEORIES

Cited by

• Boundary States ofc= 1 and 3/2 Rational Conformal Field Theories
• Symmetry breaking boundaries
• Boundary states for WZW models
• Orientation matters for NIMreps
• Novel construction of boundary states in coset conformal field theories
• Discrete torsion in non-geometric orbifolds and their open-string descendants