The Fayet-Iliopoulos term in Type-I string theory and M-theory
arXiv:hep-ph/9806426 · doi:10.1016/S0370-2693(98)00903-4
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.
LaTeX, 9 pages, no figures