2004/10/30 by Evgeny I. Buchbinder, Burt A. Ovrut, Rene Reinbacher +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Instanton #Mathematical physics #Mathematics #Moduli #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #String (physics) #String theory #Theoretical physics #hep-th
paper · pdf · doi:10.1088/1126-6708/2005/04/008
published as JHEP0504:008,2005 · LaTeX, 42 pages, typos corrected
arxiv created 2004/10/30 · openalex publication_date 2005/04/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Expressions for the number of moduli of arbitrary SU(n) vector bundles constructed via Fourier-Mukai transforms of spectral data over Calabi- Yau threefolds are derived and presented. This is done within the context of simply connected, elliptic Calabi-Yau threefolds with base Fr, but the methods have wider applicability. The condition for a vector bundle to possess the minimal number of moduli for fixed r and n is discussed and an explicit formula for the minimal number of moduli is presented. In addition, transition moduli for small instanton phase transitions involving non-positive spectral covers are defined, enumerated and given a geometrical interpretation.