Integrable $\mathfrak{gl}(n|n)$ Toda field theory and its sigma-model dual

preprint2019arXivOpen access

In these notes we study the duality between sigma-models and Toda QFT's. We claim that $\mathfrak{gl}(n|n)$ affine Toda field theory behaves in the strong coupling limit as $η-$ deformed $\mathbb{CP}(n-1)$ sigma-model plus a free field.

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Integrable $\mathfrak{gl}(n|n)$ Toda field theory and its sigma-model dual

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Integrable gl(n∣n)\mathfrak{gl}(n|n)gl(n∣n) Toda field theory and its sigma-model dual

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Integrable $\mathfrak{gl}(n|n)$ Toda field theory and its sigma-model dual