Non-perturbative superpotentials in string theory |
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Affiliation: | 3. Max-Planck Institute of Biophysics, 60438 Frankfurt am Main, Germany;4. “Carol Davila” University of Medicine and Pharmacy, 050474 Bucharest, Romania;5. Institute of Life Sciences, Hebrew University of Jerusalem, 91904 Jerusalem, Israel |
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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. |
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