Anomaly inflow for local boundary conditions
Abstract We study the η-invariant of a Dirac operator on a manifold with boundary subject to local boundary conditions with the help of heat kernel methods. In even dimensions, we relate this invariant to η-invariants of a boundary Dirac operator, while in odd dimension, it is expressed through the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2022)250 |
| _version_ | 1811253678858829824 |
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| author | A. V. Ivanov D. V. Vassilevich |
| author_facet | A. V. Ivanov D. V. Vassilevich |
| author_sort | A. V. Ivanov |
| collection | DOAJ |
| description | Abstract We study the η-invariant of a Dirac operator on a manifold with boundary subject to local boundary conditions with the help of heat kernel methods. In even dimensions, we relate this invariant to η-invariants of a boundary Dirac operator, while in odd dimension, it is expressed through the index of boundary operators. We stress the necessity of the strong ellipticity condition for the applicability of our methods. We show that the Witten-Yonekura boundary conditions are not strongly elliptic, though they are very close to strongly elliptic ones. |
| first_indexed | 2024-04-12T16:54:35Z |
| format | Article |
| id | doaj.art-5e62cbfca1f3434fae9d2e4d2292cae7 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T16:54:35Z |
| publishDate | 2022-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-5e62cbfca1f3434fae9d2e4d2292cae72022-12-22T03:24:16ZengSpringerOpenJournal of High Energy Physics1029-84792022-09-012022912010.1007/JHEP09(2022)250Anomaly inflow for local boundary conditionsA. V. Ivanov0D. V. Vassilevich1St. Petersburg Department of Steklov Mathematical Institute of RASCMCC-Universidade Federal do ABCAbstract We study the η-invariant of a Dirac operator on a manifold with boundary subject to local boundary conditions with the help of heat kernel methods. In even dimensions, we relate this invariant to η-invariants of a boundary Dirac operator, while in odd dimension, it is expressed through the index of boundary operators. We stress the necessity of the strong ellipticity condition for the applicability of our methods. We show that the Witten-Yonekura boundary conditions are not strongly elliptic, though they are very close to strongly elliptic ones.https://doi.org/10.1007/JHEP09(2022)250Anomalies in Field and String TheoriesBoundary Quantum Field Theory |
| spellingShingle | A. V. Ivanov D. V. Vassilevich Anomaly inflow for local boundary conditions Journal of High Energy Physics Anomalies in Field and String Theories Boundary Quantum Field Theory |
| title | Anomaly inflow for local boundary conditions |
| title_full | Anomaly inflow for local boundary conditions |
| title_fullStr | Anomaly inflow for local boundary conditions |
| title_full_unstemmed | Anomaly inflow for local boundary conditions |
| title_short | Anomaly inflow for local boundary conditions |
| title_sort | anomaly inflow for local boundary conditions |
| topic | Anomalies in Field and String Theories Boundary Quantum Field Theory |
| url | https://doi.org/10.1007/JHEP09(2022)250 |
| work_keys_str_mv | AT avivanov anomalyinflowforlocalboundaryconditions AT dvvassilevich anomalyinflowforlocalboundaryconditions |