T-duality of emergent gravities on nilmanifolds

T-duality of emergent gravities on nilmanifolds

Blog Article

Abstract We study the transport of generalized metrics between topological 3 Piece Sectional with Cuddler 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 Sign 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.