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Integrable flows between exact CFTs
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DOI：10.1007/JHEP11(2017)078.png)
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Abstract
En 中文
We explicitly construct families of integrable s-model actions smoothly interpolating between exact CFTs. In the ultraviolet the theory is the direct product of two current algebras at levels k(1) and k(2). In the infrared and for the case of two deformation matrices the CFT involves a coset CFT, whereas for a single matrix deformation it is given by the ultraviolet direct product theories but at levels k(1) and k(2) - k(1). For isotropic deformations we demonstrate integrability. In this case we also compute the exact beta-function for the deformation parameters using gravitational methods. This is shown to coincide with previous results obtained using perturbation theory and non-perturbative symmetries.
Keywords:
Conformal Field Models in String Theory
Conformal Field Theory
Integrable Field Theories
Sigma Models
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