Superpotentials for Vector Bundle Moduli

Details Superpotentials for Vector Bundle Moduli Superpotentials for Vector Bundle Moduli

2002-05-19

arxiv.org/abs/hep-th/0205190v2

Nucl.Phys.B653:400-420,2003

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, LaTeX; corrected typos, added references

Scientific paper

10.1016/S0550-3213(02)01093-3

We present a method for explicitly computing the non-perturbative superpotentials associated with the vector bundle moduli in heterotic superstrings and M-theory. This method is applicable to any stable, holomorphic vector bundle over an elliptically fibered Calabi-Yau threefold. For specificity, the vector bundle moduli superpotential, for a vector bundle with structure group G=SU(3), generated by a heterotic superstring wrapped once over an isolated curve in a Calabi-Yau threefold with base B=F1, is explicitly calculated. Its locus of critical points is discussed. Superpotentials of vector bundle moduli potentially have important implications for small instanton phase transitions and the vacuum stability and cosmology of superstrings and M-theory.

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