Renormalization in some 2D \({\widehat{su}}(2)\) coset models

DOI10.1007/978-981-13-2179-5_22zbMATH Open1406.81064arXiv1811.08335OpenAlexW2893836307MaRDI QIDQ1719696

M. Stanishkov

Publication date: 11 February 2019

Abstract: We consider a RG flow in certain 2D coset models perturbed by the least relevant field. In the case of the symmetric su(2) coset model we show, up to second order of the perturbation theory, that there exists a nontrivial IR fixed point.We obtain the structure constants and the four-point functions of certain fields by deriving specific recursive relations. This allows us to compute the anomalous dimensions and the mixing coefficients of these fields in the UV and IR theories. In the case of another su(2) coset model, describing the N=2 superconformal theories, we show that there does not exists a nontrivial IR fixed point up to second order.

Full work available at URL: https://arxiv.org/abs/1811.08335

zbMATH Keywords

anomalous dimensionsRG flowcoset modelsmixing of fields

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Feynman diagrams (81T18) Renormalization group methods applied to problems in quantum field theory (81T17) Applications of linear algebraic groups to the sciences (20G45)

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