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2017

Double and cyclic $\lambda$-deformations and their canonical equivalents

Georgiou, George, Sfetsos, Konstantinos, Siampos, Konstantinos

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We prove that the doubly lambda-deformed sigma-models, which include integrable cases, are canonically equivalent to the sum of two single lambda-deformed models.

This explains the equality of the exact beta-functions and current anomalous dimensions of the doubly lambda-deformed sigma-models to those of two single lambda-deformed models.
Our proof is based upon agreement of their Hamiltonian densities and of their canonical structure.
Subsequently, we show that it is possible to take a well defined non-Abelian type limit of the doubly-deformed action.

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