Novel all loop actions of interacting CFTs: Construction, integrability and RG flows

Abstract

We construct the all loop effective action representing, for small couplings, simultaneously self and mutually interacting current algebra CFTs realized by WZW models. This non-trivially generalizes our previous works where such interactions were, at the linear level, not simultaneously present. For the two coupling case we prove integrability and calculate the coupled RG flow equations. We also consider non-Abelian T-duality type limits. Our models provide concrete realisations of integrable flows between exact CFTs and exhibit several new features which we discuss in detail.

33 pages, 4 figures, typos corrected in version 2, version published in Nucl. Phys. B

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Cited by in corpus (26)

• Assembling integrable sigma-models as affine Gaudin models
• Integrable coupled sigma-models
• The most general $\lambda$-deformation of CFTs and integrability
• RG flows of integrable $\sigma$-models and the twist function
• Integrable deformations of coupled sigma-models
• An exact symmetry in $\lambda$-deformed CFTs
• Strong integrability of $\lambda$-deformed models
• Weyl anomaly and the $C$-function in $\lambda$-deformed CFTs
• AdS solutions and $\lambda$-deformations
• Exact results from the geometry of couplings and the effective action
• Supersymmetric backgrounds from $\lambda$-deformations
• Field theory and $\lambda$-deformations: Expanding around the identity
• Novel integrable interpolations
• Supersymmetric solutions of type-II supergravity from $\lambda$-deformations and zoom-in limits
• Hamiltonian integrability of the webs of integrable theories
• Webs of integrable theories
• Integrable Lorentz-breaking deformations and RG flows
• The massless S-matrix of integrable $\sigma$-models
• Scattering in integrable pp-wave backgrounds: S-matrix and absence of particle production
• A free field perspective of $\lambda$-deformed coset CFT's
• $\lambda$-deformations in the upper-half plane
• Spinning strings: $\lambda$-deformation and non-Abelian T-dual limit
• On the stability of $AdS$ backgrounds with $\lambda$-deformed factors
• Type-II backgrounds from deformed coset CFTs
• On the classical Integrability of Poisson-Lie T-dual WZW models
• Integrable branes in generalized $\lambda$-deformations