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

Erich Poppitz
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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.

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Erich Poppitz. 1998-10-15. On the One Loop Fayet-Iliopoulos Term in Chiral Four Dimensional Type I Orbifolds. https://doi.org/10.1016/s0550-3213(98)00793-7

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