1996/06/14 by Andrew Strominger, Shing-Tung Yau, Eric Zaslow · 2 citations
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #Manifold (fluid mechanics) #Mirror symmetry #Moduli #Moduli space #Space (punctuation) #Symmetry (geometry) #Toroid #alg-geom #hep-th #math.AG
paper · pdf · doi:10.1016/0550-3213(96)00434-8
published as Nucl.Phys.B479:243-259,1996 · 20 pages, harvmac -- some references added, typos corrected
arxiv created 1996/06/14 · openalex publication_date 1996/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
It is argued that every Calabi-Yau manifold X with a mirror Y admits a family of supersymmetric toroidal 3-cycles. Moreover the moduli space of such cycles together with their flat connections is precisely the space Y. The mirror transformation is equivalent to T-duality on the 3-cycles. The geometry of moduli space is addressed in a general framework. Several examples are discussed.