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CERN–TH.7473/94 hep-th/9410104 SPACE TIME INTERPRETATION OF S–DUALITY AND SUPERSYMMETRY VIOLATIONS OF T–DUALITY (1994)
BibTeX
@MISC{Bakas94cern–th.7473/94hep-th/9410104,
author = {Ioannis Bakas},
title = {CERN–TH.7473/94 hep-th/9410104 SPACE TIME INTERPRETATION OF S–DUALITY AND SUPERSYMMETRY VIOLATIONS OF T–DUALITY},
year = {1994}
}
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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.
Keyphrases
cern th vice versa dim background dual covariant derivative duality transformation algebraic characterization new solution world sheet supersymmetry corresponding killing vector field pure gravity ehlers geroch group ale instantons corresponding obstruction effective theory admit target space metric rotational duality transformation space time supersymmetry gravitational instanton space time interpretation magnetic aspect taub nut background intertwined duality transformation self duality
