Deformation of d = 4, N $$ \mathcal{N} $$ ≥ 5 supergravities breaks nonlinear local supersymmetry
Abstract We study d = 4, N $$ \mathcal{N} $$ ≥ 5 supergravities and their deformation via candidate counterterms, with the purpose to absorb UV divergences. We generalize the earlier studies of deformation and twisted self-duality constraint to the case with unbroken local H $$ \mathcal{H} $$ -symme...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2023)156 |
| _version_ | 1797675807022252032 |
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| author | Renata Kallosh Yusuke Yamada |
| author_facet | Renata Kallosh Yusuke Yamada |
| author_sort | Renata Kallosh |
| collection | DOAJ |
| description | Abstract We study d = 4, N $$ \mathcal{N} $$ ≥ 5 supergravities and their deformation via candidate counterterms, with the purpose to absorb UV divergences. We generalize the earlier studies of deformation and twisted self-duality constraint to the case with unbroken local H $$ \mathcal{H} $$ -symmetry in presence of fermions. We find that the deformed action breaks nonlinear local supersymmetry. We show that all known cases of enhanced UV divergence cancellations are explained by nonlinear local supersymmetry. This result implies, in particular, that if N $$ \mathcal{N} $$ = 5 supergravity at five loop will turn out to be UV divergent, the deformed theory will be BRST inconsistent. If it will be finite, it will be a consequence of nonlinear local supersymmetry and E7-type duality. |
| first_indexed | 2024-03-11T22:20:04Z |
| format | Article |
| id | doaj.art-846d54a6b7e04ce2bdcdc45ea732e208 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T22:20:04Z |
| publishDate | 2023-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-846d54a6b7e04ce2bdcdc45ea732e2082023-09-24T11:07:22ZengSpringerOpenJournal of High Energy Physics1029-84792023-06-012023613010.1007/JHEP06(2023)156Deformation of d = 4, N $$ \mathcal{N} $$ ≥ 5 supergravities breaks nonlinear local supersymmetryRenata Kallosh0Yusuke Yamada1Stanford Institute for Theoretical Physics and Department of Physics, Stanford UniversityWaseda Institute for Advanced Study, Waseda UniversityAbstract We study d = 4, N $$ \mathcal{N} $$ ≥ 5 supergravities and their deformation via candidate counterterms, with the purpose to absorb UV divergences. We generalize the earlier studies of deformation and twisted self-duality constraint to the case with unbroken local H $$ \mathcal{H} $$ -symmetry in presence of fermions. We find that the deformed action breaks nonlinear local supersymmetry. We show that all known cases of enhanced UV divergence cancellations are explained by nonlinear local supersymmetry. This result implies, in particular, that if N $$ \mathcal{N} $$ = 5 supergravity at five loop will turn out to be UV divergent, the deformed theory will be BRST inconsistent. If it will be finite, it will be a consequence of nonlinear local supersymmetry and E7-type duality.https://doi.org/10.1007/JHEP06(2023)156Supergravity ModelsSupersymmetry and DualityAnomalies in Field and String TheoriesScattering Amplitudes |
| spellingShingle | Renata Kallosh Yusuke Yamada Deformation of d = 4, N $$ \mathcal{N} $$ ≥ 5 supergravities breaks nonlinear local supersymmetry Journal of High Energy Physics Supergravity Models Supersymmetry and Duality Anomalies in Field and String Theories Scattering Amplitudes |
| title | Deformation of d = 4, N $$ \mathcal{N} $$ ≥ 5 supergravities breaks nonlinear local supersymmetry |
| title_full | Deformation of d = 4, N $$ \mathcal{N} $$ ≥ 5 supergravities breaks nonlinear local supersymmetry |
| title_fullStr | Deformation of d = 4, N $$ \mathcal{N} $$ ≥ 5 supergravities breaks nonlinear local supersymmetry |
| title_full_unstemmed | Deformation of d = 4, N $$ \mathcal{N} $$ ≥ 5 supergravities breaks nonlinear local supersymmetry |
| title_short | Deformation of d = 4, N $$ \mathcal{N} $$ ≥ 5 supergravities breaks nonlinear local supersymmetry |
| title_sort | deformation of d 4 n mathcal n ≥ 5 supergravities breaks nonlinear local supersymmetry |
| topic | Supergravity Models Supersymmetry and Duality Anomalies in Field and String Theories Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP06(2023)156 |
| work_keys_str_mv | AT renatakallosh deformationofd4nmathcaln5supergravitiesbreaksnonlinearlocalsupersymmetry AT yusukeyamada deformationofd4nmathcaln5supergravitiesbreaksnonlinearlocalsupersymmetry |