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

George Georgiou; Konstantinos Sfetsos

doi:10.1016/j.nuclphysb.2018.10.018

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arXiv · 1809.03522

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

George Georgiou·Konstantinos Sfetsos

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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.

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George Georgiou, Konstantinos Sfetsos. 2018-11-07. Novel all loop actions of interacting CFTs: Construction, integrability and RG flows. https://doi.org/10.1016/j.nuclphysb.2018.10.018

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