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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2021)009 |
| _version_ | 1818723540751351808 |
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| author | Markus B. Fröb Camillo Imbimbo Nicolò Risso |
| author_facet | Markus B. Fröb Camillo Imbimbo Nicolò Risso |
| author_sort | Markus B. Fröb |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-17T21:12:09Z |
| format | Article |
| id | doaj.art-72387deb10e1433da4d0c3b0f04e3605 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-17T21:12:09Z |
| publishDate | 2021-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-72387deb10e1433da4d0c3b0f04e36052022-12-21T21:32:26ZengSpringerOpenJournal of High Energy Physics1029-84792021-12-0120211212810.1007/JHEP12(2021)009Deformations of supergravity and supersymmetry anomaliesMarkus B. Fröb0Camillo Imbimbo1Nicolò Risso2Institut für Theoretische Physik, Universität LeipzigDipartimento di Fisica, Università di GenovaDipartimento di Fisica e Astronomia “Galileo Galilei”, Università di PadovaAbstract 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.https://doi.org/10.1007/JHEP12(2021)009Anomalies in Field and String TheoriesBRST QuantizationSupergravity ModelsSupersymmetric Gauge Theory |
| spellingShingle | Markus B. Fröb Camillo Imbimbo Nicolò Risso Deformations of supergravity and supersymmetry anomalies Journal of High Energy Physics Anomalies in Field and String Theories BRST Quantization Supergravity Models Supersymmetric Gauge Theory |
| title | Deformations of supergravity and supersymmetry anomalies |
| title_full | Deformations of supergravity and supersymmetry anomalies |
| title_fullStr | Deformations of supergravity and supersymmetry anomalies |
| title_full_unstemmed | Deformations of supergravity and supersymmetry anomalies |
| title_short | Deformations of supergravity and supersymmetry anomalies |
| title_sort | deformations of supergravity and supersymmetry anomalies |
| topic | Anomalies in Field and String Theories BRST Quantization Supergravity Models Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP12(2021)009 |
| work_keys_str_mv | AT markusbfrob deformationsofsupergravityandsupersymmetryanomalies AT camilloimbimbo deformationsofsupergravityandsupersymmetryanomalies AT nicolorisso deformationsofsupergravityandsupersymmetryanomalies |