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Non-Perturbative Superpotentials In String Theory

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arxiv hep-th/9604030 v2 pith:CP2JV7WW submitted 1996-04-05 hep-th

Non-Perturbative Superpotentials In String Theory

classification hep-th
keywords non-perturbativesuperpotentialstringtheorycertaindimensionsheteroticmany
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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