Generalized Cartan Calculus in general dimension
We develop the generalized Cartan Calculus for the groups G = SL(2,R) × R[superscript +],SL(5,R) and SO(5, 5). They are the underlying algebraic structures of d = 9, 7, 6 exceptional field theory, respectively. These algebraic identities are needed for the “tensor hierarchy” structure in exceptional...
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| Format: | Article |
| Language: | en_US |
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Springer-Verlag
2015
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| Online Access: | http://hdl.handle.net/1721.1/98233 https://orcid.org/0000-0001-7418-1519 |
| _version_ | 1826202043661942784 |
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| author | Wang, Yinan |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Wang, Yinan |
| author_sort | Wang, Yinan |
| collection | MIT |
| description | We develop the generalized Cartan Calculus for the groups G = SL(2,R) × R[superscript +],SL(5,R) and SO(5, 5). They are the underlying algebraic structures of d = 9, 7, 6 exceptional field theory, respectively. These algebraic identities are needed for the “tensor hierarchy” structure in exceptional field theory. The validity of Poincaré lemmas in this new differential geometry is also discussed. Finally we explore some possible extension of the generalized Cartan calculus beyond the exceptional series. |
| first_indexed | 2024-09-23T12:01:18Z |
| format | Article |
| id | mit-1721.1/98233 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:01:18Z |
| publishDate | 2015 |
| publisher | Springer-Verlag |
| record_format | dspace |
| spelling | mit-1721.1/982332022-10-01T07:37:50Z Generalized Cartan Calculus in general dimension Wang, Yinan Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Wang, Yinan We develop the generalized Cartan Calculus for the groups G = SL(2,R) × R[superscript +],SL(5,R) and SO(5, 5). They are the underlying algebraic structures of d = 9, 7, 6 exceptional field theory, respectively. These algebraic identities are needed for the “tensor hierarchy” structure in exceptional field theory. The validity of Poincaré lemmas in this new differential geometry is also discussed. Finally we explore some possible extension of the generalized Cartan calculus beyond the exceptional series. United States. Dept. of Energy (Grant Contract DE-SC00012567) 2015-08-25T21:16:57Z 2015-08-25T21:16:57Z 2015-07 2015-04 Article http://purl.org/eprint/type/JournalArticle 1029-8479 1126-6708 http://hdl.handle.net/1721.1/98233 Wang, Yi-Nan. “Generalized Cartan Calculus in General Dimension.” J. High Energ. Phys. 2015, no. 7 (July 2015). https://orcid.org/0000-0001-7418-1519 en_US http://dx.doi.org/10.1007/JHEP07(2015)114 Journal of High Energy Physics Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ application/pdf Springer-Verlag Springer-Verlag |
| spellingShingle | Wang, Yinan Generalized Cartan Calculus in general dimension |
| title | Generalized Cartan Calculus in general dimension |
| title_full | Generalized Cartan Calculus in general dimension |
| title_fullStr | Generalized Cartan Calculus in general dimension |
| title_full_unstemmed | Generalized Cartan Calculus in general dimension |
| title_short | Generalized Cartan Calculus in general dimension |
| title_sort | generalized cartan calculus in general dimension |
| url | http://hdl.handle.net/1721.1/98233 https://orcid.org/0000-0001-7418-1519 |
| work_keys_str_mv | AT wangyinan generalizedcartancalculusingeneraldimension |