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

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.

10 pages, latex, no figure

References in corpus (8)

• Poisson-Lie T-plurality
• Classification of 6-dimensional real Drinfeld doubles
• Poisson-Lie T-Duality and Bianchi Type Algebras
• Classification of Poisson-Lie T-dual models with two-dimensional targets
• Target Space Duality I: General Theory
• Poisson-Lie Duality in the String Effective Action
• Dualised sigma-models at the two-loop order
• Quantum structure of T-dualized models with symmetry breaking

Cited by in corpus (3)

• One loop renormalizability of the Poisson-Lie sigma models
• Type II DFT solutions from Poisson-Lie T-duality/plurality
• Poisson-Lie T-plurality of three-dimensional conformally invariant sigma models