Worldlines on orbifolds and the Fayet-Iliopoulos term
Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120, Heidelberg, Germany
2 Physics Department, Theory Division, CERN, 1211, Geneva 23, Switzerland
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We adapt “string-inspired” worldline techniques to one-loop calculations on orbifolds, in particular on the S 1/Z 2 orbifold. Our method also allows for the treatment of brane-localized terms, or bulk-brane couplings. For demonstration, we reproduce the well-known result for the one-loop induced Fayet-Iliopoulos term in rigidly supersymmetric Abelian gauge theory, and generalize it to the case where soft supersymmetry breaking mass terms for the bulk scalar fields are present on the branes.
© Springer-Verlag, 2005