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arXiv · 2312.07752

T-duality of emergent gravities on nilmanifolds

Raju Roychowdhury·Leonardo Soriani
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Abstract

We study the transport of generalized metrics between topological T-dual nilmanifolds through a Lie algebraic point of view. Emergent gravities are generalized metrics with symplectic B-fields. But this additional property might not be preserved by the aforementioned transport. We describe a necessary condition for it to happen and provide working examples on self-T-dual nilmanifolds with zero $H$-flux in both 4 and 6 dimensions. We also discuss how this procedure fails in the presence of a non-zero $H$-flux.

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Raju Roychowdhury, Leonardo Soriani. 2023-12-05. T-duality of emergent gravities on nilmanifolds. https://arxiv.org/abs/2312.07752

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