Quantum equivalence of sigma models related by non Abelian Duality Transformations

Abstract

Coupling constant renormalization is investigated in 2 dimensional sigma models related by non Abelian duality transformations. In this respect it is shown that in the one loop order of perturbation theory the duals of a one parameter family of models, interpolating between the SU(2) principal model and the O(3) sigma model, exhibit the same behaviour as the original models. For the O(3) model also the two loop equivalence is investigated, and is found to be broken just like in the already known example of the principal model.

As a result of the collaboration of new authors the previously overlooked gauge contribution is inserted into eq.(43) changing not so much the formulae as part of the conclusion: for the models considered non Abelian duality is OK in one loop

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Cited by in corpus (15)

• On integrable deformations of superstring sigma models related to AdS_n x S^n supercosets
• Non-abelian T-duality, Ramond Fields and Coset Geometries
• Supergravity background of lambda-deformed model for AdS2 x S2 supercoset
• Poisson-Lie T-Duality beyond the classical level and the renormalization group
• Duality-invariant class of two-dimensional field theories
• Integrable 2d sigma models: quantum corrections to geometry from RG flow
• Quantum equivalence in Poisson-Lie T-duality
• Double and cyclic $\lambda$-deformations and their canonical equivalents
• High spin limits and non-abelian T-duality
• On Quantum T-duality in sigma models
• Poisson-Lie Duality in the String Effective Action
• Aspects of Quantum Fermionic T-duality
• Quantum structure of T-dualized models with symmetry breaking
• Non-Abelian Duality in the String Effective Action
• On the classical connection between the WZWN model and topological gauge theories with boundaries