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Instanton moduli in string theory

Evgeny I. Buchbinder1, Burt A. Ovrut2 and Rene Reinbacher3

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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 Bbb 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.

Keywords

Superstrings and Heterotic Strings

M-Theory

Differential and Algebraic Geometry

 

E-print Number: hep-th/0410200

Cited: by |

Refers: to

PACS

14.80.-j Other particles (including hypothetical)

11.30.Ly Other internal and higher symmetries

11.25.Yb M theory

11.25.Mj Compactification and four-dimensional models

02.40.Sf Manifolds and cell complexes

MSC

81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)

14J32 Calabi-Yau manifolds, mirror symmetry

53C07 Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills) (See also 32Q20)

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 04 (April 2005)

Received 2 November 2004, accepted for publication 22 April 2005

Published 27 April 2005



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