Non-perturbative superpotentials in string theory

DOI10.1016/0550-3213(96)00283-0zbMATH Open0925.32012arXivhep-th/9604030OpenAlexW2058365686MaRDI QIDQ1920723

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Publication date: 13 August 1996

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Abstract: 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.

Full work available at URL: https://arxiv.org/abs/hep-th/9604030

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