2002/07/08 by Kentaro Hori, Hori, Kentaro · 6 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Context (archaeology) #Duality (order theory) #FOS: Physical sciences #Gauge theory #Geometry #High Energy Physics - Theory (hep-th) #Mathematical physics #Mathematics #Mirror symmetry #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum #Quantum mechanics #Symmetry (geometry) #Theoretical physics #Torus #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0207068
published in arXiv (Cornell University) (Cornell University) · 12 pages, ICM 2002 at Beijin
arxiv created 2002/07/08 · openalex publication_date 2002/07/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Recently, mirror symmetry is derived as T-duality applied to gauge systems that flow to non-linear sigma models. We present some of its applications to study quantum geometry involving D-branes. In particular, we show that one can employ D-branes wrapped on torus fibers to reproduce the mirror duality itself, realizing the program of Strominger-Yau-Zaslow in a slightly different context. Floer theory of intersecting Lagrangians plays an essential role.