Instanton Moduli in String Theory

Details Instanton Moduli in String Theory Instanton Moduli in String Theory

2004-10-20

arxiv.org/abs/hep-th/0410200v2

JHEP0504:008,2005

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 42 pages, typos corrected

Scientific paper

10.1088/1126-6708/2005/04/008

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.

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