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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 9: Anomalies in Quantum Field Theory
MP 9.1: Vortrag
Mittwoch, 1. September 2021, 14:00–14:25, H7
Deformations of Supergravity and Supersymmetry Anomalies — •Markus B. Fröb1, Camillo Imbimbo2, and Nicolò Risso3 — 1Universität Leipzig, Leipzig, Germany — 2Università di Genova, Genoa, Italy — 3Università di Padova, Padua, Italy
We present a BRST analysis of supersymmetry anomalies of N = 1 supersymmetric quantum field theories with anomalous R symmetry. To this end, we consider the coupling of the matter theory to classical N = 1 new minimal supergravity. We point out that a supersymmetry anomaly cocycle associated to the U(1)R field does exist for this theory. It is non-trivial in the space of supergravity fields (and ghosts), but it becomes BRST-exact in the functional space that includes antifields. Equivalently, the U(1)R supersymmetry anomaly cocycle vanishes “on shell”. It is therefore removable. However, to remove it — precisely because it is not trivial in the smaller space of fields — one needs to deform the supergravity BRST operator. This deformation is triggered, at first order in the anomaly coefficient, by a local operator S1 of ghost number 1. We give a cohomological characterization of S1 and compute it in full detail. At higher orders in the anomaly coefficient, we expect a priori that further deformations of the BRST rules are necessary.