Symmetry breaking boundaries I. General theory

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.

60 pages, LaTeX2e; typos fixed and other minor corrections

References in corpus (11)

• Modular invariance of trace functions in orbifold theory
• D-branes in Gepner models
• Boundary structure constants for the A-series Virasoro minimal models
• On the Classification of Bulk and Boundary Conformal Field Theories
• Symmetry breaking boundaries II. More structures; examples
• Branes: from free fields to general backgrounds
• A classifying algebra for boundary conditions
• Completeness of boundary conditions for the critical three-state Potts model
• Orbifold analysis of broken bulk symmetries
• Simple Current Extensions and Mapping Class Group Representations
• The Untwisted Stabilizer in Simple Current Extensions

Cited by in corpus (75)

• TFT construction of RCFT correlators I: Partition functions
• TFT construction of RCFT correlators III: Simple currents
• Reflection and Transmission for Conformal Defects
• Chiral Supersymmetric Standard Model Spectra from Orientifolds of Gepner Models
• TFT construction of RCFT correlators II: Unoriented world sheets
• The geometry of WZW branes
• Orientifolds of Gepner Models
• Boundaries, crosscaps and simple currents
• Symmetry breaking boundaries II. More structures; examples
• Conformal boundary conditions and three-dimensional topological field theory
• Orientifolds and Mirror Symmetry
• Worldsheet approaches to D-branes on supersymmetric cycles
• Charged and Uncharged D-branes in various String Theories
• Projections in string theory and boundary states for Gepner models
• Lectures on Branes in Curved Backgrounds
• Symmetry Breaking Boundary States and Defect Lines
• Quantum brownian motion on a triangular lattice and c=2 boundary conformal field theory
• Fixed point resolution in extended WZW-models
• On the Landau-Ginzburg description of Boundary CFTs and special Lagrangian submanifolds
• Boundary states for WZW models
• D-branes at Singular Curves of Calabi-Yau Compactifications
• On the hierarchy of symmetry breaking D-branes in group manifolds
• Branes in the GL(1|1) WZNW-Model
• Non-commutative gauge theory of twisted D-branes
• Discrete torsion in non-geometric orbifolds and their open-string descendants
• Boundary Conformal Field Theory and Fusion Ring Representations
• Fundamental strings in Dp-Dq brane systems
• Boundary states in coset conformal field theories
• D-brane charges on non-simply connected groups
• Notes on Orientifolds of Rational Conformal Field Theories
• The RR charges of A-type Gepner models
• Boundary States of c=1 and 3/2 Rational Conformal Field Theories
• Solitonic sectors, alpha-induction and symmetry breaking boundaries
• D-branes in an asymmetric orbifold
• Open Strings in Simple Current Orbifolds
• Conformal field theory, boundary conditions and applications to string theory
• Fermionization of conformal boundary states
• The General Twisted Open WZW String
• Ishibashi States, Topological Orders with Boundaries and Topological Entanglement Entropy
• Quantization of Wilson loops in Wess-Zumino-Witten models
• Free-field realisation of boundary states and boundary correlation functions of minimal models
• Symmetry breaking, permutation D-branes on group manifolds: boundary states and geometric description
• Coulomb-gas approach for boundary conformal field theory
• Boundary Rings and N=2 Coset Models
• Non-supersymmetric Orientifolds of Gepner Models
• Novel construction of boundary states in coset conformal field theories
• Twisted boundary states and representation of generalized fusion algebra
• Orientation matters for NIMreps
• T-duality Twists and Asymmetric Orbifolds
• Open-closed field algebras
• D-brane charges on SO(3)
• BPS orientifold planes from crosscap states in Calabi-Yau compactifications
• Branching rules of semi-simple Lie algebras using affine extensions
• A Basic Class of Twisted Open WZW Strings
• D-branes in lens spaces
• BRST construction of D-branes in SU(2) WZW model
• On the geometry of coset branes
• The three-dimensional origin of the classifying algebra
• Twisted boundary states in c=1 coset conformal field theories
• Level-rank duality of untwisted and twisted D-branes
• Generalised Permutation Branes on a product of cosets $G_{k_1}/H\times G_{k_2}/H$
• Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant
• The Orbifolds of Permutation-Type as Physical String Systems at Multiples of c=26. I.Extended Actions and New Twisted World-Sheet Gravities
• Comments on the classification of orientifolds
• An algorithm for twisted fusion rules
• Permutation Orientifolds of Gepner Models
• Coulomb-gas formulation of SU(2) branes and chiral blocks
• Universal time evolution of string order parameter in quantum critical systems with boundary invertible or non-invertible symmetry breaking
• Twisted D-branes of the SU(N)_K WZW model and level-rank duality
• Finite level geometry of fractional branes
• Level-rank duality of untwisted and twisted D-branes of the so(N)_K WZW model
• On Orientifolds of c=1 Orbifolds
• Bundles of chiral blocks and boundary conditions in CFT
• On Cardy states in the (2,2,2,2) Gepner model
• Geometric construction of D-branes in WZW models