Anomaly-corrected supersymmetry algebra and supersymmetric holographic renormalization
Abstract We present a systematic approach to supersymmetric holographic renormalization for a generic 5D N=2 $$ \mathcal{N}=2 $$ gauged supergravity theory with matter multiplets, including its fermionic sector, with all gauge fields consistently set to zero. We determine the complete set of supersy...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-12-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP12(2017)107 |
| _version_ | 1818150354807685120 |
|---|---|
| author | Ok Song An |
| author_facet | Ok Song An |
| author_sort | Ok Song An |
| collection | DOAJ |
| description | Abstract We present a systematic approach to supersymmetric holographic renormalization for a generic 5D N=2 $$ \mathcal{N}=2 $$ gauged supergravity theory with matter multiplets, including its fermionic sector, with all gauge fields consistently set to zero. We determine the complete set of supersymmetric local boundary counterterms, including the finite counterterms that parameterize the choice of supersymmetric renormalization scheme. This allows us to derive holographically the superconformal Ward identities of a 4D superconformal field theory on a generic background, including the Weyl and super-Weyl anomalies. Moreover, we show that these anomalies satisfy the Wess-Zumino consistency condition. The super-Weyl anomaly implies that the fermionic operators of the dual field theory, such as the supercurrent, do not transform as tensors under rigid supersymmetry on backgrounds that admit a conformal Killing spinor, and their anticommutator with the conserved supercharge contains anomalous terms. This property is explicitly checked for a toy model. Finally, using the anomalous transformation of the supercurrent, we obtain the anomaly-corrected supersymmetry algebra on curved backgrounds admitting a conformal Killing spinor. |
| first_indexed | 2024-12-11T13:21:36Z |
| format | Article |
| id | doaj.art-4600a0b1bc0a48539df017e7598fe674 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T13:21:36Z |
| publishDate | 2017-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-4600a0b1bc0a48539df017e7598fe6742022-12-22T01:05:47ZengSpringerOpenJournal of High Energy Physics1029-84792017-12-0120171215510.1007/JHEP12(2017)107Anomaly-corrected supersymmetry algebra and supersymmetric holographic renormalizationOk Song An0Department of Mathematics, SISSAAbstract We present a systematic approach to supersymmetric holographic renormalization for a generic 5D N=2 $$ \mathcal{N}=2 $$ gauged supergravity theory with matter multiplets, including its fermionic sector, with all gauge fields consistently set to zero. We determine the complete set of supersymmetric local boundary counterterms, including the finite counterterms that parameterize the choice of supersymmetric renormalization scheme. This allows us to derive holographically the superconformal Ward identities of a 4D superconformal field theory on a generic background, including the Weyl and super-Weyl anomalies. Moreover, we show that these anomalies satisfy the Wess-Zumino consistency condition. The super-Weyl anomaly implies that the fermionic operators of the dual field theory, such as the supercurrent, do not transform as tensors under rigid supersymmetry on backgrounds that admit a conformal Killing spinor, and their anticommutator with the conserved supercharge contains anomalous terms. This property is explicitly checked for a toy model. Finally, using the anomalous transformation of the supercurrent, we obtain the anomaly-corrected supersymmetry algebra on curved backgrounds admitting a conformal Killing spinor.http://link.springer.com/article/10.1007/JHEP12(2017)107AdS-CFT CorrespondenceAnomalies in Field and String TheoriesGaugegravity correspondence |
| spellingShingle | Ok Song An Anomaly-corrected supersymmetry algebra and supersymmetric holographic renormalization Journal of High Energy Physics AdS-CFT Correspondence Anomalies in Field and String Theories Gaugegravity correspondence |
| title | Anomaly-corrected supersymmetry algebra and supersymmetric holographic renormalization |
| title_full | Anomaly-corrected supersymmetry algebra and supersymmetric holographic renormalization |
| title_fullStr | Anomaly-corrected supersymmetry algebra and supersymmetric holographic renormalization |
| title_full_unstemmed | Anomaly-corrected supersymmetry algebra and supersymmetric holographic renormalization |
| title_short | Anomaly-corrected supersymmetry algebra and supersymmetric holographic renormalization |
| title_sort | anomaly corrected supersymmetry algebra and supersymmetric holographic renormalization |
| topic | AdS-CFT Correspondence Anomalies in Field and String Theories Gaugegravity correspondence |
| url | http://link.springer.com/article/10.1007/JHEP12(2017)107 |
| work_keys_str_mv | AT oksongan anomalycorrectedsupersymmetryalgebraandsupersymmetricholographicrenormalization |