Towards an extended/higher correspondence
In this short paper, we will review the proposal of a correspondence between the doubled geometry of Double Field Theory and the higher geometry of bundle gerbes. Double Field Theory is T-duality covariant formulation of the supergravity limit of String Theory, which generalises Kaluza-Klein theory...
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De Gruyter
2021
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oai:doaj.org-article:0616f7073f28431d889ecc5e3c0f92442021-12-05T14:10:45ZTowards an extended/higher correspondence2300-744310.1515/coma-2020-0121https://doaj.org/article/0616f7073f28431d889ecc5e3c0f92442021-10-01T00:00:00Zhttps://doi.org/10.1515/coma-2020-0121https://doaj.org/toc/2300-7443In this short paper, we will review the proposal of a correspondence between the doubled geometry of Double Field Theory and the higher geometry of bundle gerbes. Double Field Theory is T-duality covariant formulation of the supergravity limit of String Theory, which generalises Kaluza-Klein theory by unifying metric and Kalb-Ramond field on a doubled-dimensional space. In light of the proposed correspondence, this doubled geometry is interpreted as an atlas description of the higher geometry of bundle gerbes. In this sense, Double Field Theory can be interpreted as a field theory living on the total space of the bundle gerbe, just like Kaluza-Klein theory is set on the total space of a principal bundle. This correspondence provides a higher geometric interpretation for para-Hermitian geometry which opens the door to its generalisation to Exceptional Field Theory.Alfonsi LuigiDe Gruyterarticlebundle gerbespara-hermitian geometryt-dualitygeneralised geometry53c0853d1883e30MathematicsQA1-939ENComplex Manifolds, Vol 8, Iss 1, Pp 302-328 (2021) |
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bundle gerbes para-hermitian geometry t-duality generalised geometry 53c08 53d18 83e30 Mathematics QA1-939 |
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bundle gerbes para-hermitian geometry t-duality generalised geometry 53c08 53d18 83e30 Mathematics QA1-939 Alfonsi Luigi Towards an extended/higher correspondence |
| description |
In this short paper, we will review the proposal of a correspondence between the doubled geometry of Double Field Theory and the higher geometry of bundle gerbes. Double Field Theory is T-duality covariant formulation of the supergravity limit of String Theory, which generalises Kaluza-Klein theory by unifying metric and Kalb-Ramond field on a doubled-dimensional space. In light of the proposed correspondence, this doubled geometry is interpreted as an atlas description of the higher geometry of bundle gerbes. In this sense, Double Field Theory can be interpreted as a field theory living on the total space of the bundle gerbe, just like Kaluza-Klein theory is set on the total space of a principal bundle. This correspondence provides a higher geometric interpretation for para-Hermitian geometry which opens the door to its generalisation to Exceptional Field Theory. |
| format |
article |
| author |
Alfonsi Luigi |
| author_facet |
Alfonsi Luigi |
| author_sort |
Alfonsi Luigi |
| title |
Towards an extended/higher correspondence |
| title_short |
Towards an extended/higher correspondence |
| title_full |
Towards an extended/higher correspondence |
| title_fullStr |
Towards an extended/higher correspondence |
| title_full_unstemmed |
Towards an extended/higher correspondence |
| title_sort |
towards an extended/higher correspondence |
| publisher |
De Gruyter |
| publishDate |
2021 |
| url |
https://doaj.org/article/0616f7073f28431d889ecc5e3c0f9244 |
| work_keys_str_mv |
AT alfonsiluigi towardsanextendedhighercorrespondence |
| _version_ |
1718371774878449664 |