2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174130The gauging of axionic, Stueckelberg-type, shift symmetries with generalized Chern-Simons terms and the Green-Schwarz mechanism of anomaly cancellation has recently been studied in the context of certain string compactifications and with regard to the phenomenology of unusual variants of Z'-bosons. In this talk, following recent work with De Rydt, Rosseel, Schmidt and Van Proeyen, I summarize how such theories can be reconciled with global and local N=1 supersymmetry. Two simple consistency conditions are shown to encode strong constraints on the allowed anomalies for different types of gauge groups.6 pages, Latex2e. Prepared for the Proceedings of the VII. International Workshop "Lie Theory and its Applications to Physics", 18 - 24 June 2007, Varna. v2: references addedHigh Energy Physics - TheoryHigh Energy Physics - PhenomenologyGeneralized Chern-Simons Terms and Chiral Anomalies in N=1 Supersymmetrytext