2011/08/31 by Varghese Mathai, Siye Wu · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cohomology #Combinatorics #Compactification (mathematics) #Dual (grammatical number) #Equivariant map #Geometry and complex manifolds #Gravitational singularity #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Spacetime #String (physics) #String theory #T-duality #Topology (electrical circuits) #Type (biology) #hep-th #math-ph #math.DG #math.GT #math.MP #math.SG
paper · pdf · doi:10.1007/s00220-012-1542-8
published as Commun.Math.Phys.316:279-286,2012 · 9 pages, 1 figure, version to appear in CMP
arxiv created 2012/02/06 · openalex publication_date 2012/07/31 · arxiv updated 2012/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present an explicit formula for the topology and H-flux of the T-dual of a general type II compactification, significantly generalizing earlier results. Our results apply to T-dualities with respect to any circle action on spacetime. As before, T-duality exchanges type IIA and type IIB string theories. A new consequence is that the T-dual spacetime is a singular space when the fixed point set is non-empty; the singularities correspond to Kaluza-Klein monopoles. We propose that the Ramond-Ramond charges of type II string theories on the singular dual are classified by twisted equivariant cohomology groups. We also include the K-theory approach.