On the One Loop Fayet-Iliopoulos Term in Chiral Four Dimensional Type I Orbifolds

Details On the One Loop Fayet-Iliopoulos Term in Chiral Four Dimensional Type I Orbifolds On the One Loop Fayet-Iliopoulos Term in Chiral Four Dimensional Type I Orbifolds

1998-10-01

arxiv.org/abs/hep-th/9810010v2

Nucl.Phys. B542 (1999) 31-44

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTeX, 2 figures; references and a few minor comments (including a relevant gamma matrix identity) added

Scientific paper

10.1016/S0550-3213(98)00793-7

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.

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