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On T-duality transformations for the three-sphere

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arxiv 1408.1715 v3 pith:WYMBNRCN submitted 2014-08-07 hep-th

On T-duality transformations for the three-sphere

classification hep-th
keywords t-dualitytransformationsalongbackgroundsthree-spherealternativecollectivecompared
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study collective T-duality transformations along one, two and three directions of isometry for the three-sphere with H-flux. Our aim is to obtain new non-geometric backgrounds along lines similar to the example of the three-torus. However, the resulting backgrounds turn out to be geometric in nature. To perform the duality transformations, we develop a novel procedure for non-abelian T-duality, which follows a route different compared to the known literature, and which highlights the underlying structure from an alternative point of view.

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