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arXiv · 1712.05750

T-duality transformations for the NS5-brane along angular directions

Erik Plauschinn·Valentí Vall Camell
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Abstract

In this note we study T-duality transformations for the NS5-brane and its orbifolds along angular directions. We identify a geometric charge for these configurations and show that it is interchanged with the H-flux under T-duality. We furthermore perform a supersymmetry analysis and find that T-duality can break supersymmetry, in agreement with earlier results in the literature. We contrast our findings to compactifications of the NS5-brane on tori, which have vanishing geometric charge and for which T-duality transformations along the compact directions preserve supersymmetry. This shows that the uncompactified NS5-brane and the compactified-and-smeared solution have different properties and behave differently under T-duality.

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Erik Plauschinn, Valentí Vall Camell. 2017-12-15. T-duality transformations for the NS5-brane along angular directions. https://doi.org/10.1007/jhep03(2018)060

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