2004/08/31 by Stefano Chiantese, Florian Gmeiner, Claus Jeschek · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Brane cosmology #Combinatorics #Cosmology and Gravitation Theories #Field (mathematics) #Geometry #Homotopy and Cohomology in Algebraic Topology #Instanton #Manifold (fluid mechanics) #Mathematical physics #Mirror symmetry #Physics #Pure mathematics #Quantum mechanics #Sigma #Sigma model #Symmetry (geometry) #Theoretical physics #Topology (electrical circuits) #hep-th
paper · pdf · doi:10.1142/s0217751x06029351
published as Int.J.Mod.Phys. A21 (2006) 2377-2390 · 17 pages; v2: typos corrected, minor changes in chapter 5
arxiv created 2004/09/27 · openalex publication_date 2006/04/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider topological sigma models with generalized Kähler target spaces. The mirror map is constructed explicitly for a special class of target spaces and the topological A and B model are shown to be mirror pairs in the sense that the observables, the instantons and the anomalies are mapped to each other. We also apply the construction to open topological models and show that A branes are mapped to B branes. Furthermore, we demonstrate a relation between the field strength on the brane and a two-vector on the mirror manifold.