2011/11/29 by Li-Sheng Tseng, Shing-Tung Yau, Shing–Tung Yau +2 · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #hep-th #math.DG #math.SG
paper · pdf · doi:10.48550/arxiv.1111.6968
16 pages
arxiv created 2011/11/29 · openalex publication_date 2011/11/29 · arxiv updated 2011/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
We show that the complex cohomologies of Bott, Chern, and Aeppli and the symplectic cohomologies of Tseng and Yau arise in the context of type II string theory. Specifically, they can be used to count a subset of scalar moduli fields in Minkowski compactification with RR fluxes in the presence of either O5/D5 or O6/D6 brane sources, respectively. Further, we introduce a new set of cohomologies within the generalized complex geometry framework which interpolate between these known complex and symplectic cohomologies. The generalized complex cohomologies play the analogous role for counting massless fields for a general supersymmetric Minkowski type II compactification with Ramond-Ramond flux.