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One-loop renormalizability of all 2d dimensional Poisson-Lie sigma-models

C. Klimcik·G. Valent
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Abstract

We perform a systematic study of the one-loop renormalizability of all Poisson-Lie T-dualizable $\si$-models with two-dimensional targets. We show that whatever Drinfeld double and whatever matrix of coupling constants we consider the corresponding $\si$-model is always one-loop renormalizable in the strict field theoretical sense. Moreover, in all cases, the RG flow in the space of the coupling constants is compatible with the Poisson-Lie T-duality.

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C. Klimcik, G. Valent. 2003-04-11. One-loop renormalizability of all 2d dimensional Poisson-Lie sigma-models. https://doi.org/10.1016/s0370-2693(03)00764-0

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