Symmetry Breaking Boundary States and Defect Lines

Abstract

We present a large and universal class of new boundary states which break part of the chiral symmetry in the underlying bulk theory. Our formulas are based on coset constructions and they can be regarded as a non-abelian generalization of the ideas that were used by Maldacena, Moore and Seiberg to build new boundary states for SU(N). We apply our expressions to construct defect lines joining two conformal field theories with possibly different central charge. Such defects can occur e.g. in the AdS/CFT correspondence when branes extend to the boundary of the AdS-space.

36 pages, LaTeX, 1 figure, V1: typos corrected and references added, v2: we added a short remark concerning the geometry of symmetry breaking D-branes in group manifolds

References in corpus (15)

• Open and Closed String Interpretation of SUSY CFT's on Branes with Boundaries
• Permeable conformal walls and holography
• D-Brane Instantons and K-Theory Charges
• Geometrical interpretation of D-branes in gauged WZW models
• Conformal boundary states for free bosons and fermions
• The conformal boundary states for SU(2) at level 1
• D-Branes in Coset Models
• D-Branes on a gauged WZW model
• Exceptional boundary states at c=1
• Flux stabilization in compact groups
• Boundary Conformal Field Theory and Fusion Ring Representations
• Boundary states in coset conformal field theories
• Boundary States of c=1 and 3/2 Rational Conformal Field Theories
• Open Strings in Simple Current Orbifolds
• Branching rules of semi-simple Lie algebras using affine extensions

Cited by in corpus (64)

• TFT construction of RCFT correlators I: Partition functions
• Duality and defects in rational conformal field theory
• The Virtue of Defects in 4D Gauge Theories and 2D CFTs
• Topological defects for the free boson CFT
• Reflection and Transmission for Conformal Defects
• Defect Conformal Field Theory and Locally Localized Gravity
• TFT construction of RCFT correlators II: Unoriented world sheets
• Intersecting D3-branes and Holography
• Generalizations of the AdS/CFT correspondence
• Fusion of conformal interfaces
• Rényi entropy and conformal defects
• Branes in the 2D black hole
• Domain Walls for Two-Dimensional Renormalization Group Flows
• Loop Operators and the Kondo Problem
• Lectures on Branes in Curved Backgrounds
• A worldsheet extension of O(d,d;Z)
• On the hierarchy of symmetry breaking D-branes in group manifolds
• Organizing boundary RG flows
• Non-commutative gauge theory of twisted D-branes
• Generalised permutation branes
• Defect flows in minimal models
• Asymmetric Cosets
• (De)constructing Intersecting M5-branes
• Defect loops in gauged Wess-Zumino-Witten models
• D-branes in an asymmetric orbifold
• 't Hooft Operators in Gauge Theory from Toda CFT
• Entanglement evolution across a conformal interface
• Some remarks on defects and T-duality
• Open spin chain realization of topological defect on 1d Ising model and boundary and bulk symmetry
• Integrable asymmetric $\lambda$-deformations
• The coset D-branes of SU(n)
• Quantization of Wilson loops in Wess-Zumino-Witten models
• Novel construction of boundary states in coset conformal field theories
• Twisted boundary states and representation of generalized fusion algebra
• The D-branes of SU(n)
• Double Trace Interfaces
• Non-maximally symmetric D-branes on group manifold in the Lagrangian approach
• Transport Process in Multi-Junctions of Quantum Systems
• Defects, Super-Poincaré line bundle and Fermionic T-duality
• On supersymmetric interfaces for string theory
• Conformal interfaces between free boson orbifold theories
• D-branes in lens spaces
• Twisted boundary states in c=1 coset conformal field theories
• Intersecting Branes, Defect Conformal Field Theories and Tensionless Strings
• Twisted boundary states in Kazama-Suzuki models
• Level-rank duality of D-branes on the SU(N) group manifold
• Symmetry-breaking boundary states for WZW models
• Level-rank duality of untwisted and twisted D-branes
• 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
• Defect conformal field theory from Sachdev-Ye-Kitaev interactions
• Boundary CFT and tensor network approach to surface critical phenomena of the tricritical 3-state Potts model
• Line and surface defects in 5D N=2 SCFT from matter-coupled F(4) gauged supergravity
• Kondo flow invariants, twisted K-theory and Ramond-Ramond charges
• Modular Orbits at Higher Genus
• Universal time evolution of string order parameter in quantum critical systems with boundary invertible or non-invertible symmetry breaking
• Boundary Criticality of Complex Conformal Field Theory: A Case Study in the Non-Hermitian 5-State Potts Model
• Dissipation meets conformal interface in open quantum systems: How the relaxation rate is suppressed
• Twisted D-branes of the SU(N)_K WZW model and level-rank duality
• Inner brane: A D3-brane in the Nappi-Witten model from an inner group automorphism
• Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders
• Level-rank duality of untwisted and twisted D-branes of the so(N)_K WZW model
• New WZW D-branes from the algebra of Wilson loop operators
• Geometric construction of D-branes in WZW models
• A Defect in AdS3/CFT2 Duality