Published April 1, 2005 | Version v1
Journal article

Instanton moduli in string theory

  • 1. School of Natural Sciences, Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540 (United States)
  • 2. Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104 (United States)
  • 3. Department of Mathematics, Harvard University, Cambridge, MA 02138 (United States)

Description

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

Availability note (English)

Available online at http://stacks.iop.org/1126-6708/2005/i=04/a=008/jhep042005008.pdf or at the Web site for the Journal of High Energy Physics (ISSN 1029-8479) http://www.iop.org/

Additional details

Publishing Information

Journal Title
Journal of High Energy Physics
Journal Volume
2005
Journal Issue
04
Journal Page Range
p. 008
ISSN
1126-6708

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