Deformations of supergravity and supersymmetry anomalies
Abstract We present a BRST analysis of supersymmetry anomalies of N $$ \mathcal{N} $$ = 1 supersymmetric quantum field theories with anomalous R symmetry. To this end, we consider the coupling of the matter theory to classical N $$ \mathcal{N} $$ = 1 new minimal supergravity. We point out that a sup...
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| Autores principales: | , , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
SpringerOpen
2021
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/72387deb10e1433da4d0c3b0f04e3605 |
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| Sumario: | Abstract We present a BRST analysis of supersymmetry anomalies of N $$ \mathcal{N} $$ = 1 supersymmetric quantum field theories with anomalous R symmetry. To this end, we consider the coupling of the matter theory to classical N $$ \mathcal{N} $$ = 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 S 1 of ghost number 1. We give a cohomological characterization of S 1 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. |
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