A note on RG domain wall between successive A₂^(p) minimal models

2023/05/10 by Armen Poghosyan, Poghosyan, Armen, Hasmik Poghosyan +1 · 4 citations
Mathematics · Physics and Astronomy · #Algebraic number #Black Holes and Theoretical Physics #Degeneracy (biology) #Domain (mathematical analysis) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Invariant (physics) #Materials science #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Mixing (physics) #Nonlinear Photonic Systems #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics

paper · pdf · doi:10.48550/arxiv.2305.05997

published in arXiv (Cornell University) (Cornell University)

openalex publication_date 2023/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the RG domain wall between neighboring A₂^(p) minimal CFT models and establish the map between UV and IR fields (matrix of mixing coefficients). A particular RG invariant set of six primary and four descendant fields is analyzed in full details. Using the algebraic construction of the RG domain wall we compute the UV/IR mixing matrix. To test our results we show that it diagonalizes the matrix of anomalous dimensions previously known from perturbative analysis. It is important to note that the diagonalizing matrix can not be found from perturbative analysis solely due to degeneracy of anomalous dimensions. The same mixing coefficients are used to explore anomalous W-weights as well.

Cited by

• Classifying fusion rules of anyons or SymTFTs: A general algebraic formula for domain wall problems and quantum phase transitions
• Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls
• Extending fusion rules with finite subgroups: For a general understanding of quotient or gauging
• Homomorphism, substructure and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders

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