On the One Loop Fayet-Iliopoulos Term in Chiral Four Dimensional Type I Orbifolds
High Energy Physics - Theory
2009-10-31 v2 High Energy Physics - Phenomenology
Abstract
We consider the generation of Fayet-Iliopoulos terms at one string loop in some recently found N=1 open string orbifolds with anomalous U(1) factors with nonvanishing trace of the charge. Low-energy field theory arguments lead one to expect a one loop quadratically divergent Fayet-Iliopoulos term. We show that a one loop Fayet-Iliopoulos term is not generated, due to a cancellation between contributions of worldsheets of different topology. The vanishing of the one loop Fayet-Iliopoulos term in open string compactifications is related to the cancellation of twisted Ramond-Ramond tadpoles.
Keywords
Cite
@article{arxiv.hep-th/9810010,
title = {On the One Loop Fayet-Iliopoulos Term in Chiral Four Dimensional Type I Orbifolds},
author = {Erich Poppitz},
journal= {arXiv preprint arXiv:hep-th/9810010},
year = {2009}
}
Comments
14 pages, LaTeX, 2 figures; references and a few minor comments (including a relevant gamma matrix identity) added