Sigma-model anomalies in compact type IIB orientifolds and Fayet-Iliopoulos terms

Details Sigma-model anomalies in compact type IIB orientifolds and Fayet-Iliopoulos terms Sigma-model anomalies in compact type IIB orientifolds and Fayet-Iliopoulos terms

1999-05-13

arxiv.org/abs/hep-th/9905098v1

Nucl.Phys.B576:285-312,2000

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, Latex, 7 figures

Scientific paper

10.1016/S0550-3213(00)00059-6

Compact Type IIB D=4, N=1 orientifolds have certain U(1) sigma model symmetries at the level of the effective Lagrangian. These symmetries are generically anomalous. We study the particular case of $Z_N$ orientifolds and find that these anomalies may be cancelled by a generalized Green-Schwarz mechanism. This mechanism works by the exchange of twisted RR-fields associated to the orbifold singularities and it requires the mixing between twisted and untwisted moduli of the orbifold. As a consequence, the Fayet-Iliopoulos terms which are present for the gauged anomalous U(1)'s of the models get an additional untwisted modulus dependent piece at the tree level.

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