The Fayet-Iliopoulos term in Type-I string theory and M-theory

Abstract

The magnitude of the Fayet-Iliopoulos term is calculated for compactifications of Type-I string theory and Horava-Witten M-theory in which there exists a pseudo-anomalous U(1)_X. Contrary to various conjectures, it is found that in leading order in the perturbative expansion around the weakly-coupled M-theory or Type-I limits, a result identical to that of the weakly-coupled E_8xE_8 heterotic string is obtained. The result is independent of the values chosen for the Type-I string scale or the size of the M-theory 11th dimension, only depending upon Newton's constant and the unified gauge coupling.

arXiv commentLaTeX, 9 pages, no figures

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• A Minimal Superstring Standard Model I: Flat Directions
• Anomaly cancellation in D=4, N=1 orientifolds and linear/chiral multiplet duality
• D-term Inflation in Type I String Theory
• N=1 Supersymmetric Vacua in Heterotic M-Theory
• Calculation of Fayet-Iliopoulos D-term in type I string theory revisited: T^6/Z_3 orbifold case