An action for extended string Newton-Cartan gravity
Abstract We construct an action for four-dimensional extended string Newton-Cartan gravity which is an extension of the string Newton-Cartan gravity that underlies nonrelativistic string theory. The action can be obtained as a nonrelativistic limit of the EinsteinHilbert action in General Relativity...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP01(2019)178 |
| _version_ | 1819114015576555520 |
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| author | Eric A. Bergshoeff Kevin T. Grosvenor Ceyda Şimşek Ziqi Yan |
| author_facet | Eric A. Bergshoeff Kevin T. Grosvenor Ceyda Şimşek Ziqi Yan |
| author_sort | Eric A. Bergshoeff |
| collection | DOAJ |
| description | Abstract We construct an action for four-dimensional extended string Newton-Cartan gravity which is an extension of the string Newton-Cartan gravity that underlies nonrelativistic string theory. The action can be obtained as a nonrelativistic limit of the EinsteinHilbert action in General Relativity augmented with a term that contains an auxiliary two-form and one-form gauge field that both have zero flux on-shell. The four-dimensional extended string Newton-Cartan gravity is based on a central extension of the algebra that underlies string Newton-Cartan gravity. The construction is similar to the earlier construction of a three-dimensional Chern-Simons action for extended Newton-Cartan gravity, which is based on a central extension of the algebra that underlies Newton-Cartan gravity. We show that this three-dimensional action is naturally obtained from the four-dimensional action by a reduction over the spatial isometry direction longitudinal to the string followed by a truncation of the extended string Newton-Cartan gravity fields. Our construction can be seen as a special case of the construction of an action for extended p-brane Newton-Cartan gravity in p + 3 dimensions. |
| first_indexed | 2024-12-22T04:38:35Z |
| format | Article |
| id | doaj.art-e09158c08c2e4596adcfd448a2b97d21 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T04:38:35Z |
| publishDate | 2019-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-e09158c08c2e4596adcfd448a2b97d212022-12-21T18:38:50ZengSpringerOpenJournal of High Energy Physics1029-84792019-01-012019112110.1007/JHEP01(2019)178An action for extended string Newton-Cartan gravityEric A. Bergshoeff0Kevin T. Grosvenor1Ceyda Şimşek2Ziqi Yan3Van Swinderen Institute, University of GroningenInstitut für Theoretische Physik und Astrophysik, Julius-Maximilians-Universität WürzburgVan Swinderen Institute, University of GroningenPerimeter Institute for Theoretical PhysicsAbstract We construct an action for four-dimensional extended string Newton-Cartan gravity which is an extension of the string Newton-Cartan gravity that underlies nonrelativistic string theory. The action can be obtained as a nonrelativistic limit of the EinsteinHilbert action in General Relativity augmented with a term that contains an auxiliary two-form and one-form gauge field that both have zero flux on-shell. The four-dimensional extended string Newton-Cartan gravity is based on a central extension of the algebra that underlies string Newton-Cartan gravity. The construction is similar to the earlier construction of a three-dimensional Chern-Simons action for extended Newton-Cartan gravity, which is based on a central extension of the algebra that underlies Newton-Cartan gravity. We show that this three-dimensional action is naturally obtained from the four-dimensional action by a reduction over the spatial isometry direction longitudinal to the string followed by a truncation of the extended string Newton-Cartan gravity fields. Our construction can be seen as a special case of the construction of an action for extended p-brane Newton-Cartan gravity in p + 3 dimensions.http://link.springer.com/article/10.1007/JHEP01(2019)178Bosonic StringsClassical Theories of Gravity |
| spellingShingle | Eric A. Bergshoeff Kevin T. Grosvenor Ceyda Şimşek Ziqi Yan An action for extended string Newton-Cartan gravity Journal of High Energy Physics Bosonic Strings Classical Theories of Gravity |
| title | An action for extended string Newton-Cartan gravity |
| title_full | An action for extended string Newton-Cartan gravity |
| title_fullStr | An action for extended string Newton-Cartan gravity |
| title_full_unstemmed | An action for extended string Newton-Cartan gravity |
| title_short | An action for extended string Newton-Cartan gravity |
| title_sort | action for extended string newton cartan gravity |
| topic | Bosonic Strings Classical Theories of Gravity |
| url | http://link.springer.com/article/10.1007/JHEP01(2019)178 |
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