Abstract
We study the transport of generalized metrics between topological T-dual nil-manifolds 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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