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

A. V. Litvinov

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

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arxiv 1901.04799 v1 pith:XCIJPWWA submitted 2019-01-15 hep-th math-phmath.MP

A. V. Litvinov This is my paper · ORCID

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abstract

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 $\eta-$deformed $\mathbb{CP}(n-1)$ sigma-model plus a free field.

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Ultralocal Lax connection for para-complex $\mathbb{Z}_T$-cosets
hep-th 2019-09 conditional novelty 7.0 of 10

Classical sigma-models on para-complex Z_T-cosets admit an ultralocal, gauge-invariant Lax connection whose light-cone components Poisson-commute, extending earlier results for hermitian symmetric spaces.

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