Renormalisability of non-homogeneous T-dualised sigma-models

Details Renormalisability of non-homogeneous T-dualised sigma-models Renormalisability of non-homogeneous T-dualised sigma-models

2002-02-26

arxiv.org/abs/hep-th/0202181v3

Phys.Lett. B543 (2002) 241-248

Physics

High Energy Physics

High Energy Physics - Theory

14 pages

Scientific paper

The quantum equivalence between sigma-models and their non-abelian T-dualised partners is examined for a large class of four dimensional non-homogeneous and quasi-Einstein metrics with an isometry group SU(2) times U(1). We prove that the one-loop renormalisability of the initial torsionless sigma-models is equivalent to the one-loop renormalisability of the T-dualised torsionful model. For a subclass of Kahler original metrics, the dual partners are still Kahler (with torsion).

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