One loop renormalizability of the Poisson-Lie sigma models

Abstract

We present the proof of the one loop renormalizability in the strict field theoretic sense of the Poisson-Lie sigma models. The result is valid for any Drinfeld double and it relies solely on the Poisson-Lie structure encoded in the target manifold.

11 pages

References in corpus (6)

• Duality-invariant class of two-dimensional field theories
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• The formulae of Kontsevich and Verlinde from the perspective of the Drinfeld double
• Poisson-Lie Duality in the String Effective Action
• Quantum structure of T-dualized models with symmetry breaking
• One-loop renormalizability of all 2d dimensional Poisson-Lie sigma-models

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• Flag manifold sigma models: spin chains and integrable theories
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• The Magic Renormalisability of Affine Gaudin Models
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• On a class of conformal $\mathcal{E}$-models and their chiral Poisson algebras
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• An invitation to Poisson-Lie T-duality in Double Field Theory and its applications
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• On renormalization of Poisson-Lie T-plural sigma models
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