Membrane paradigm and RG flows for anomalous holographic theories
Abstract Holographic RG flows can be better understood with the help of radially conserved charges. It was shown by various authors that the bulk gauge and diffeomorphism symmetries lead to the conservation of the zero mode of the holographic U(1) current and, if the spacetime is stationary, to that...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-04-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP04(2018)134 |
| _version_ | 1818863643067940864 |
|---|---|
| author | Christian Copetti Jorge Fernández-Pendás |
| author_facet | Christian Copetti Jorge Fernández-Pendás |
| author_sort | Christian Copetti |
| collection | DOAJ |
| description | Abstract Holographic RG flows can be better understood with the help of radially conserved charges. It was shown by various authors that the bulk gauge and diffeomorphism symmetries lead to the conservation of the zero mode of the holographic U(1) current and, if the spacetime is stationary, to that of the holographic heat current. In describing dual theories with ’t Hooft anomalies the bulk gauge invariance is broken by Chern-Simons terms. We show that conservation laws can still be derived and used to characterize the anomalous transport in terms of membrane currents at the horizon. We devote particular attention to systems with gravitational anomalies. These are known to be problematic due to their higher derivative content. We show that this feature alters the construction of the membrane currents in a way which is deeply tied with the anomalous gravitational transport. |
| first_indexed | 2024-12-19T10:19:01Z |
| format | Article |
| id | doaj.art-3596302b223348a1bbd2567fb3851cb7 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-19T10:19:01Z |
| publishDate | 2018-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-3596302b223348a1bbd2567fb3851cb72022-12-21T20:26:08ZengSpringerOpenJournal of High Energy Physics1029-84792018-04-012018414210.1007/JHEP04(2018)134Membrane paradigm and RG flows for anomalous holographic theoriesChristian Copetti0Jorge Fernández-Pendás1Instituto de Física Teórica UAM/CSIC, Universidad Autónoma de MadridInstituto de Física Teórica UAM/CSIC, Universidad Autónoma de MadridAbstract Holographic RG flows can be better understood with the help of radially conserved charges. It was shown by various authors that the bulk gauge and diffeomorphism symmetries lead to the conservation of the zero mode of the holographic U(1) current and, if the spacetime is stationary, to that of the holographic heat current. In describing dual theories with ’t Hooft anomalies the bulk gauge invariance is broken by Chern-Simons terms. We show that conservation laws can still be derived and used to characterize the anomalous transport in terms of membrane currents at the horizon. We devote particular attention to systems with gravitational anomalies. These are known to be problematic due to their higher derivative content. We show that this feature alters the construction of the membrane currents in a way which is deeply tied with the anomalous gravitational transport.http://link.springer.com/article/10.1007/JHEP04(2018)134Anomalies in Field and String TheoriesGauge-gravity correspondence |
| spellingShingle | Christian Copetti Jorge Fernández-Pendás Membrane paradigm and RG flows for anomalous holographic theories Journal of High Energy Physics Anomalies in Field and String Theories Gauge-gravity correspondence |
| title | Membrane paradigm and RG flows for anomalous holographic theories |
| title_full | Membrane paradigm and RG flows for anomalous holographic theories |
| title_fullStr | Membrane paradigm and RG flows for anomalous holographic theories |
| title_full_unstemmed | Membrane paradigm and RG flows for anomalous holographic theories |
| title_short | Membrane paradigm and RG flows for anomalous holographic theories |
| title_sort | membrane paradigm and rg flows for anomalous holographic theories |
| topic | Anomalies in Field and String Theories Gauge-gravity correspondence |
| url | http://link.springer.com/article/10.1007/JHEP04(2018)134 |
| work_keys_str_mv | AT christiancopetti membraneparadigmandrgflowsforanomalousholographictheories AT jorgefernandezpendas membraneparadigmandrgflowsforanomalousholographictheories |