2018/09/30 by George Georgiou, Konstantinos Sfetsos
Engineering · Mathematics · Physics and Astronomy · #Abelian group #Action (physics) #Algebra over a field #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Combinatorics #Computer science #Construct (python library) #Coupling (piping) #Current (fluid) #Duality (order theory) #Engineering #Flow (mathematics) #Geometry #Integrable system #Loop (graph theory) #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #Type (biology) #hep-th #nlin.SI
paper · pdf · doi:10.1016/j.nuclphysb.2018.10.018
33 pages, 4 figures, typos corrected in version 2, version published in Nucl. Phys. B
openalex created_date 2018/09/27 · openalex publication_date 2018/10/25 · arxiv created 2018/11/07 · arxiv updated 2018/11/14 · openalex updated_date 2026/08/05
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 realizations of integrable flows between exact CFTs and exhibit several new features which we discuss in detail.