de Mathématiques de Luminy
Klimcik Ctirad, Valent Galliano.
One-loop renormalizability of some Poisson-Lie sigma-models.
We perform a systematic study of one-loop renormalizability of all Poisson-Lie T-dualizable sigma-models with two-dimensional targets. We show that whatever Drinfeld double and whatever matrix of coupling constants we consider the corresponding sigma-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.