\(T\)-duality for torus bundles with \(H\)-fluxes via noncommutative topology (Q1770248)

An important symmetry of string theory is \(T\)-duality, which exchanges wrapping of fields over a torus with wrapping over the dual torus. Usning noncommutative topology it is demonstrated that every principal \(T^2\)-bundle with \(H\)-flux does indeed have a \(T\)-dual. In the missing cases the \(T\)-dual is non classical and is a bundle of noncommutative tori.