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Renormalisability of non-homogeneous T-dualised sigma-models

High Energy Physics - Theory 2015-06-26 v3

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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Cite

@article{arxiv.hep-th/0202181,
  title  = {Renormalisability of non-homogeneous T-dualised sigma-models},
  author = {Pierre-Yves Casteill},
  journal= {arXiv preprint arXiv:hep-th/0202181},
  year   = {2015}
}

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14 pages