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Chiral stabilization of the renormalization group for flavor and color anisotropic current interactions

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arxiv hep-th/0105092 v2 pith:DNI22P4E submitted 2001-05-10 hep-th

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

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We propose an all-orders beta function for current-current interactions in 2d with flavor anisotropy. When the number of left-moving and right-moving flavors are unequal, the beta function has a non-trivial fixed point at finite values of the couplings. We also extend the computation to simple cases with both flavor and color anisotropy.

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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. Non-Abelian Thirring model at large $N$

    hep-th 2026-07 conditional novelty 6.0 of 10

    In the large-c_G 't Hooft limit of the bosonized non-Abelian Thirring model, the beta function is β_λ̃ = -λ̃²/2 to quartic order, so no additional 1/N fixed point exists.

  3. 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.

  4. 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.

  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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