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RG Domain Wall for the General su(2) Coset Models

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arxiv 1606.03605 v2 pith:3NJANQ2L submitted 2016-06-11 hep-th

classification hep-th
keywords approachescoefficientscomputecosetdomaingeneralsamewall
verification ladder T0 review T1 audit T2 compute T3 formal
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We consider a RG flow in a general su(2) coset model induced by the least relevant field. This is done using two different approaches. We first compute the mixing coefficients of certain fields in the UV and IR theories using a conformal perturbation theory. The necessary structure constants are computed. The same coefficients can be calculated using the RG domain wall construction of Gaiotto. We compute the corresponding one-point functions and show that the two approaches give the same result in the leading order.

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Cited by 6 Pith papers

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

  1. 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.

  2. Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls

    hep-th 2025-11 unverdicted novelty 6.0 of 10

    Generalized quantum dimensions from SymTFTs classify massless and massive RG flows in pseudo-Hermitian systems and relate coset constructions to domain walls.

  3. Organizing transitions and their cascades: Generalized symmetry enforcement in massless flows or Higgs transitions

    hep-th 2026-08 conditional novelty 5.0 of 10

    The unbroken fusion ring symmetry FR(SU(2)_{p-2}) stabilizes the massless RG flow M(p,p+1)->M(p-1,p) by making every invariant IR primary field irrelevant.

  4. 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.

  5. 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.

  6. 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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