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Space Time Interpretation of S-Duality and Supersymmetry Violations of T-Duality | | Ioannis Bakas
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14 Oct 1994 | | Journal: | Phys.Lett. B343 (1995) 103-112 | | Subject: | hep-th | | Abstract: | The S--duality transformations of the lowest order string effective theory admit a space time interpretation for 4-dim backgrounds with one Killing symmetry. Starting from pure gravity and performing a sequence of intertwined T-S-T duality transformations we obtain new solutions which are always pure gravitational. In this fashion, S-duality induces an $SL(2,R)$ transformation in the space of target space metrics which coincides with the action of the Ehlers-Geroch group and interchanges the electric with the magnetic aspects of gravity. Specializing to gravitational instanton backgrounds we show that ALE instantons are mapped to (multi) Taub-NUT backgrounds and vice-versa. We find, however, that the self-duality of the metric is not generically preserved, unless the corresponding Killing vector field has self-dual covariant derivatives. Thus, the T-S-T transformations are not always compatible with the world-sheet supersymmetry of $N=4$ superconformal string vacua. We also provide an algebraic characterization of the corresponding obstruction and associate it with a breakdown of space time supersymmetry under rotational T-duality transformations. | | Source: | arXiv, hep-th/9410104 | | Services: | Forum | Review | PDF | Favorites | |
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