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Symmetry breaking boundary conditions and WZW orbifolds

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arxiv hep-th/9905038 v1 pith:K4XHIWQL submitted 1999-05-05 hep-th

classification hep-th
keywords boundaryconditionsbreakingorbifoldsymmetrytheoriesalgebraautomorphism
verification ladder T0 review T1 audit T2 compute T3 formal

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Symmetry breaking boundary conditions for WZW theories are discussed. We derive explicit formulae for the reflection coefficients in the presence of boundary conditions that preserve only an orbifold subalgebra with respect to an involutive automorphism of the chiral algebra. The characters and modular transformations of the corresponding orbifold theories are computed. Both inner and outer automorphisms are treated.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Monodromy defects in Chern-Simons theory and Holography

    hep-th 2026-07 accept novelty 8.0 of 10

    Monodromy defects in charge-conjugation-symmetric Chern-Simons theory are labeled by twisted affine representations, realize a Z2-crossed category, and are holographically dual to orientifolds of the resolved conifold...

  2. Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    Gapped phases dual to massless RG flows in 2D CFTs exhibit unusual ordering via spontaneous breaking of non-group-like symmetries and are characterized using smeared boundary CFTs applied to smeared Ishibashi states.

  3. Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings

    hep-th 2025-08 unverdicted novelty 5.0 of 10

    Constructs Z_N extended fusion rings and modular partition functions for nonanomalous subgroups, extending to multicomponent systems and orbifoldings in CFTs.

  4. Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders

    hep-th 2025-06 unverdicted novelty 5.0 of 10

    An algebraic RG formalism for topological orders uses ideals in fusion rings to encode noninvertible symmetries and condensation rules between anyons.

  5. 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

    hep-th 2024-12 conditional novelty 5.0 of 10

    New classes of boundary and coupled conformal field theories are constructed from Z_N gauging, with a proposed dictionary to topological order, nonchiral anyons, and domain walls.

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