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Renormalisability of non-homogeneous T-dualised sigma-models

Pierre-Yves Casteill
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Abstract

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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Pierre-Yves Casteill. 2002-07-30. Renormalisability of non-homogeneous T-dualised sigma-models. https://doi.org/10.1016/s0370-2693(02)02422-x

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