Instanton Moduli in String Theory
High Energy Physics - Theory
2009-11-10 v2
Abstract
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.
Cite
@article{arxiv.hep-th/0410200,
title = {Instanton Moduli in String Theory},
author = {Evgeny I. Buchbinder and Burt A. Ovrut and Rene Reinbacher},
journal= {arXiv preprint arXiv:hep-th/0410200},
year = {2009}
}
Comments
LaTeX, 42 pages, typos corrected