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Randomly coupled minimal models

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arxiv hep-th/9512087 v2 pith:DQQEYSHG submitted 1995-12-12 hep-th cond-mat

Vladimir Dotsenko , Marco Picco , Pierre Pujol This is my paper · ORCID
classification hep-thcond-mat
keywords modelscoupledrandomlycasedecoupledflowminimalanalyze
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abstract

Using 1-loop renormalisation group equations, we analyze the effect of randomness on multi-critical unitary minimal conformal models. We study the case of two randomly coupled $M_p$ models and found that they flow in two decoupled $M_{p-1}$ models, in the infra-red limit. This result is then extend to the case with $M$ randomly coupled $M_p$ models, which will flow toward $M$ decoupled $M_{p-1}$.

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  1. Coupled minimal models revisited II: Constraints from permutation symmetry

    hep-th 2024-12 accept novelty 7.0 of 10

    For coupled large-m minimal models with N=5,6,7, every permutation-charged current below spin 10 acquires an anomalous dimension, so the IR fixed points show no extended chiral algebra in that range.

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