2000/11/20 by Jiro Hashiba, Michihiro Naka · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Gauge theory #Gravitational singularity #Manifold (fluid mechanics) #Mathematical analysis #Mathematical physics #Mathematics #Moduli space #Noncommutative and Quantum Gravity Theories #Nonlinear Waves and Solitons #Orbifold #Physics #Pure mathematics #Quantum mechanics #Quiver #Sigma #Sigma model #Singularity #Space (punctuation) #Spectrum (functional analysis) #hep-th
paper · pdf · doi:10.1016/s0550-3213(00)00758-6
published in Nuclear Physics B 599(1-2), 361-380 (Elsevier BV) · 24 pages, 6 figures, reference added, typos corrected
arxiv created 2000/11/20 · openalex publication_date 2001/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the Landau-Ginzburg (LG) mirror theory of the non-linear sigma model on the ALE space \cal M obtained by resolving the singularity of the orbifold \bf C2/\bf ZN. In the LG description, the data of the BPS spectrum and the lines of marginal stability are encoded in the special Lagrangian submanifolds of the mirror manifold \cal M. Our LG description is quite simple as compared with the quiver gauge theory analysis near the orbifold point. Furthermore our mirror analysis can be applied to any point on the moduli space of \cal M.