The spacetime of double field theory: Review, remarks, and outlook
We review double field theory (DFT) with emphasis on the doubled spacetime and its generalized coordinate transformations, which unify diffeomorphisms and b-field gauge transformations. We illustrate how the composition of generalized coordinate transformations fails to associate. Moreover, in dimen...
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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Wiley Blackwell
2014
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| Online Access: | http://hdl.handle.net/1721.1/88687 https://orcid.org/0000-0001-6504-3210 |
| _version_ | 1826188837452251136 |
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| author | Hohm, Olaf Zwiebach, Barton Lust, D. |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Hohm, Olaf Zwiebach, Barton Lust, D. |
| author_sort | Hohm, Olaf |
| collection | MIT |
| description | We review double field theory (DFT) with emphasis on the doubled spacetime and its generalized coordinate transformations, which unify diffeomorphisms and b-field gauge transformations. We illustrate how the composition of generalized coordinate transformations fails to associate. Moreover, in dimensional reduction, the O(d,d) T-duality transformations of fields can be obtained as generalized diffeomorphisms. Restricted to a half-dimensional subspace, DFT includes ‘generalized geometry’, but is more general in that local patches of the doubled space may be glued together with generalized coordinate transformations. Indeed, we show that for certain T-fold backgrounds with non-geometric fluxes, there are generalized coordinate transformations that induce, as gauge symmetries of DFT, the requisite O(d,d;ℤ) monodromy transformations. Finally we review recent results on the α[superscript ′] extension of DFT which, reduced to the half-dimensional subspace, yields intriguing modifications of the basic structures of generalized geometry. |
| first_indexed | 2024-09-23T08:05:28Z |
| format | Article |
| id | mit-1721.1/88687 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:05:28Z |
| publishDate | 2014 |
| publisher | Wiley Blackwell |
| record_format | dspace |
| spelling | mit-1721.1/886872022-09-30T07:26:24Z The spacetime of double field theory: Review, remarks, and outlook Hohm, Olaf Zwiebach, Barton Lust, D. Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Laboratory for Nuclear Science Hohm, Olaf Zwiebach, Barton We review double field theory (DFT) with emphasis on the doubled spacetime and its generalized coordinate transformations, which unify diffeomorphisms and b-field gauge transformations. We illustrate how the composition of generalized coordinate transformations fails to associate. Moreover, in dimensional reduction, the O(d,d) T-duality transformations of fields can be obtained as generalized diffeomorphisms. Restricted to a half-dimensional subspace, DFT includes ‘generalized geometry’, but is more general in that local patches of the doubled space may be glued together with generalized coordinate transformations. Indeed, we show that for certain T-fold backgrounds with non-geometric fluxes, there are generalized coordinate transformations that induce, as gauge symmetries of DFT, the requisite O(d,d;ℤ) monodromy transformations. Finally we review recent results on the α[superscript ′] extension of DFT which, reduced to the half-dimensional subspace, yields intriguing modifications of the basic structures of generalized geometry. United States. Dept. of Energy (Cooperative Research Agreement DE-FG02-05ER41360) 2014-08-11T19:42:23Z 2014-08-11T19:42:23Z 2013-10 2013-09 Article http://purl.org/eprint/type/JournalArticle 00158208 1521-3978 http://hdl.handle.net/1721.1/88687 Hohm, O., D. Lust, and B. Zwiebach. “The Spacetime of Double Field Theory: Review, Remarks, and Outlook.” Fortschr. Phys. 61, no. 10 (October 1, 2013): 926–966. https://orcid.org/0000-0001-6504-3210 en_US http://dx.doi.org/10.1002/prop.201300024 Fortschritte der Physik Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Wiley Blackwell arXiv |
| spellingShingle | Hohm, Olaf Zwiebach, Barton Lust, D. The spacetime of double field theory: Review, remarks, and outlook |
| title | The spacetime of double field theory: Review, remarks, and outlook |
| title_full | The spacetime of double field theory: Review, remarks, and outlook |
| title_fullStr | The spacetime of double field theory: Review, remarks, and outlook |
| title_full_unstemmed | The spacetime of double field theory: Review, remarks, and outlook |
| title_short | The spacetime of double field theory: Review, remarks, and outlook |
| title_sort | spacetime of double field theory review remarks and outlook |
| url | http://hdl.handle.net/1721.1/88687 https://orcid.org/0000-0001-6504-3210 |
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