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

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A bstractIn 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… Click to show full abstract

A bstractIn 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.

Keywords: duality; ns5 brane; along angular; transformations ns5; duality transformations

Journal Title: Journal of High Energy Physics
Year Published: 2017

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