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arXiv · hep-th/9701178

T-Duality without Quantum Corrections

E. Alvarez·J. Borlaf·J. H. León
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Abstract

It is a well known fact that the classical (``Buscher'') transformations of T-duality do receive, in general, quantum corrections. It is interesting to check whether classical T-duality can be exact as a quantum symmetry. The natural starting point is a $σ$-model with N=4 world sheet supersymmetry. Remarkably, we find that (owing to the fact that N=4 models with torsion are not off-shell finite as quantum theories),the T-duality transformations for these models get in general quantum corrections, with the only known exception of warped products of flat submanifolds or orbifolds thereof with other geometries.

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E. Alvarez, J. Borlaf, J. H. León. 1997-03-21. T-Duality without Quantum Corrections. https://doi.org/10.1016/s0370-2693(97)00332-8

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