Boundary states in coset conformal field theories

Abstract

We construct various boundary states in the coset conformal field theory G/H. The G/H theory admits the twisted boundary condition if the G theory has an outer automorphism of the horizontal subalgebra that induces an automorphism of the H theory. By introducing the notion of the brane identification and the brane selection rule, we show that the twisted boundary states of the G/H theory can be constructed from those of the G and the H theories. We apply our construction to the su(n) diagonal cosets and the su(2)/u(1) parafermion theory to obtain the twisted boundary states of these theories.

30 pages, latex2e; (v3) typos corrected in eqs.(3.24)(3.26)(3.27), no change in the results

References in corpus (4)

• 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
• Exceptional boundary states at c=1

Cited by in corpus (27)

• Symmetry Breaking Boundary States and Defect Lines
• Organizing boundary RG flows
• D-branes on a Deformation of SU(2)
• D-branes in asymmetrically gauged WZW models and axial-vector duality
• Novel construction of boundary states in coset conformal field theories
• Reflection and transmission of conformal perturbation defects
• Maximally symmetric D-branes in gauged WZW models
• Twisted boundary states and representation of generalized fusion algebra
• D-branes in a Big Bang/Big Crunch Universe: Nappi-Witten Gauged WZW Model
• D-branes in 2d Lorentzian black hole
• Boundary conditions in Toda theories and minimal models
• Double Trace Interfaces
• Left-Right Entanglement Entropy, D-Branes, and Level-rank duality
• Orientifolds of SU(2)/U(1) WZW Models
• Twisted boundary states in c=1 coset conformal field theories
• On the geometry of coset branes
• Coset construction of logarithmic minimal models: branching rules and branching functions
• Level-rank duality of untwisted and twisted D-branes
• Twisted boundary states in Kazama-Suzuki models
• D-branes in a marginally deformed WZW model
• Black Hole - String Transition and Rolling D-brane
• D-branes and matrix factorisations in supersymmetric coset models
• Twisted D-branes of the SU(N)_K WZW model and level-rank duality
• Bootstrapping Boundaries and Branes
• Fusion of interfaces in Landau-Ginzburg models: a functorial approach
• Level-rank duality of untwisted and twisted D-branes of the so(N)_K WZW model
• Integrable branes in generalized $\lambda$-deformations