T-Duality without Quantum Corrections

Details T-Duality without Quantum Corrections T-Duality without Quantum Corrections

1997-01-30

arxiv.org/abs/hep-th/9701178v3

Phys.Lett. B400 (1997) 97-100

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, LaTeX. Final version, to appear in Phys. Lett.B. (some typos corrected)

Scientific paper

10.1016/S0370-2693(97)00332-8

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 $\sigma$-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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