Second Order RG Flow in General su(2) Coset Models

Abstract

We consider a RG flow in a general su(2) coset model perturbed by the least relevant field. The perturbing field as well as some particular fields of dimension close to one are constructed recursively in terms of lower level fields. Using this construction we obtain the structure constants and the four-point correlation functions in the leading order. This allows us to compute the mixing coefficients among the fields in the UV and the IR theory. It turns out that they are in agreement with those found recently using the domain wall construction up to this order.

29 pages, references added. arXiv admin note: text overlap with arXiv:1404.7628

References in corpus (11)

• Liouville Correlation Functions from Four-dimensional Gauge Theories
• On combinatorial expansion of the conformal blocks arising from AGT conjecture
• Domain Walls for Two-Dimensional Renormalization Group Flows
• Super Liouville conformal blocks from N=2 SU(2) quiver gauge theories
• Instanton moduli spaces and bases in coset conformal field theory
• Instantons and 2d Superconformal field theory
• Parafermionic Liouville field theory and instantons on ALE spaces
• Two Dimensional Renormalization Group Flows in Next to Leading Order
• RG domain wall for the N=1 minimal superconformal models
• Structure Constants of the Fractional Supersymmetry Chiral Algebras
• On the Renormalization Group Flow in Two Dimensional Superconformal Models

Cited by in corpus (3)

• A slow review of the AGT correspondence
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• Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders