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arXiv · hep-th/9502065

T-duality and world-sheet supersymmetry

I. Bakas·K. Sfetsos
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Abstract

Four-dimensional string backgrounds with local realizations of N = 4 world-sheet supersymmetry have, in the presence of a rotational Killing symmetry, only one complex structure which is an SO(2) singlet, while the other two form an SO(2) doublet. Although N = 2 world-sheet supersymmetry is always preserved under Abelian T-duality transformations, N = 4 breaks down to N = 2 in the rotational case. A non-local realization of N = 4 supersymmetry emerges, instead, with world-sheet parafermions. For SO(3)-invariant metrics of purely rotational type, like the Taub-NUT and the Atiyah-Hitchin metrics, none of the locally realized extended world-sheet supersymmetries can be preserved under non-Abelian duality.

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I. Bakas, K. Sfetsos. 1995-02-10. T-duality and world-sheet supersymmetry. https://doi.org/10.1016/0370-2693(95)00290-2

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