Abstract
We construct a new class of integrable σ-models based on current algebra theories for a general semisimple group G by utilizing a left-right asymmetric gauging. Their action can be thought of as the all-loop effective action of two independent WZW models for G both at level k, perturbed by current bilinears mixing the different WZW models. A non-perturbative symmetry in the couplings parametric space is revealed. We perform the Hamiltonian analysis of the action and demonstrate integrability in several cases. We extend our construction to deformations of G/H CFTs and show integrability when G/H is a symmetric space. Our method resembles that used for constructing the λ-deformed integrable σ-models, but the results are distinct and novel.
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Georgiou, G., Sfetsos, K. A new class of integrable deformations of CFTs. J. High Energ. Phys. 2017, 83 (2017). https://doi.org/10.1007/JHEP03(2017)083
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DOI: https://doi.org/10.1007/JHEP03(2017)083