Heterotic anomaly cancellation in five dimensions
We study the constraints on five-dimensional script N = 1 heterotic M-theory imposed by a consistent anomaly-free coupling of bulk and boundary theory. This requires analyzing the cancellation of triangle gauge anomalies on the four-dimensional orbifold planes due to anomaly inflow from the bulk. We...
| Päätekijät: | , |
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| Aineistotyyppi: | Journal article |
| Kieli: | English |
| Julkaistu: |
2000
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| _version_ | 1826277540424056832 |
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| author | Lukas, A Stelle, K |
| author_facet | Lukas, A Stelle, K |
| author_sort | Lukas, A |
| collection | OXFORD |
| description | We study the constraints on five-dimensional script N = 1 heterotic M-theory imposed by a consistent anomaly-free coupling of bulk and boundary theory. This requires analyzing the cancellation of triangle gauge anomalies on the four-dimensional orbifold planes due to anomaly inflow from the bulk. We find that the semi-simple part of the orbifold gauge groups and certain U(1) symmetries have to be free of quantum anomalies. In addition there can be several anomalous U(1) symmetries on each orbifold plane whose anomalies are cancelled by a non-trivial variation of the bulk vector fields. The mixed U(1) non-abelian anomaly is universal and there is at most one U(1) symmetry with such an anomaly on each plane. In an alternative approach, we also analyze the coupling of five-dimensional gauged supergravity to orbifold gauge theories. We find a somewhat generalized structure of anomaly cancellation in this case which allows, for example, non-universal mixed U(1) gauge anomalies. Anomaly cancellation from the perspective of four-dimensional script N = 1 effective actions obtained from E8 x E8 heterotic string- or M-theory by reduction on a Calabi-Yau three-fold is studied as well. The results are consistent with the ones found for five-dimensional heterotic M-theory. Finally, we consider some related issues of phenomenological interest such as model building with anomalous U(1) symmetries, Fayet-Illiopoulos terms and threshold corrections to gauge kinetic functions. |
| first_indexed | 2024-03-06T23:30:26Z |
| format | Journal article |
| id | oxford-uuid:6bd86c4c-0cca-48a0-8fc8-257a8b766eb0 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T23:30:26Z |
| publishDate | 2000 |
| record_format | dspace |
| spelling | oxford-uuid:6bd86c4c-0cca-48a0-8fc8-257a8b766eb02022-03-26T19:06:48ZHeterotic anomaly cancellation in five dimensionsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:6bd86c4c-0cca-48a0-8fc8-257a8b766eb0EnglishSymplectic Elements at Oxford2000Lukas, AStelle, KWe study the constraints on five-dimensional script N = 1 heterotic M-theory imposed by a consistent anomaly-free coupling of bulk and boundary theory. This requires analyzing the cancellation of triangle gauge anomalies on the four-dimensional orbifold planes due to anomaly inflow from the bulk. We find that the semi-simple part of the orbifold gauge groups and certain U(1) symmetries have to be free of quantum anomalies. In addition there can be several anomalous U(1) symmetries on each orbifold plane whose anomalies are cancelled by a non-trivial variation of the bulk vector fields. The mixed U(1) non-abelian anomaly is universal and there is at most one U(1) symmetry with such an anomaly on each plane. In an alternative approach, we also analyze the coupling of five-dimensional gauged supergravity to orbifold gauge theories. We find a somewhat generalized structure of anomaly cancellation in this case which allows, for example, non-universal mixed U(1) gauge anomalies. Anomaly cancellation from the perspective of four-dimensional script N = 1 effective actions obtained from E8 x E8 heterotic string- or M-theory by reduction on a Calabi-Yau three-fold is studied as well. The results are consistent with the ones found for five-dimensional heterotic M-theory. Finally, we consider some related issues of phenomenological interest such as model building with anomalous U(1) symmetries, Fayet-Illiopoulos terms and threshold corrections to gauge kinetic functions. |
| spellingShingle | Lukas, A Stelle, K Heterotic anomaly cancellation in five dimensions |
| title | Heterotic anomaly cancellation in five dimensions |
| title_full | Heterotic anomaly cancellation in five dimensions |
| title_fullStr | Heterotic anomaly cancellation in five dimensions |
| title_full_unstemmed | Heterotic anomaly cancellation in five dimensions |
| title_short | Heterotic anomaly cancellation in five dimensions |
| title_sort | heterotic anomaly cancellation in five dimensions |
| work_keys_str_mv | AT lukasa heteroticanomalycancellationinfivedimensions AT stellek heteroticanomalycancellationinfivedimensions |