Non-Perturbative Superpotentials In String Theory

Details Non-Perturbative Superpotentials In String Theory Non-Perturbative Superpotentials In String Theory

1996-04-05

arxiv.org/abs/hep-th/9604030v2

Nucl.Phys.B474:343-360,1996

Physics

High Energy Physics

High Energy Physics - Theory

Improved explanation of selection rule, and other more minor corrections, 22 pages

Scientific paper

10.1016/0550-3213(96)00283-0

The non-perturbative superpotential can be effectively calculated in $M$-theory compactification to three dimensions on a Calabi-Yau four-fold $X$. For certain $X$, the superpotential is identically zero, while for other $X$, a non-perturbative superpotential is generated. Using $F$-theory, these results carry over to certain Type IIB and heterotic string compactifications to four dimensions with $N=1$ supersymmetry. In the heterotic string case, the non-perturbative superpotential can be interpreted as coming from space-time and world-sheet instantons; in many simple cases contributions come only from finitely many values of the instanton numbers.

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