Towards an invariant geometry of double field theory
We introduce a geometrical framework for double field theory in which generalized Riemann and torsion tensors are defined without reference to a particular basis. This invariant geometry provides a unifying framework for the frame-like and metric-like formulations developed before. We discuss the re...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Institute of Physics (AIP)
2014
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| Online Access: | http://hdl.handle.net/1721.1/88685 https://orcid.org/0000-0001-6504-3210 |
| _version_ | 1826215653391990784 |
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| author | Hohm, Olaf Zwiebach, Barton |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Hohm, Olaf Zwiebach, Barton |
| author_sort | Hohm, Olaf |
| collection | MIT |
| description | We introduce a geometrical framework for double field theory in which generalized Riemann and torsion tensors are defined without reference to a particular basis. This invariant geometry provides a unifying framework for the frame-like and metric-like formulations developed before. We discuss the relation to generalized geometry and give an “index-free” proof of the algebraic Bianchi identity. Finally, we analyze to what extent the generalized Riemann tensor encodes the curvatures of Riemannian geometry. We show that it contains the conventional Ricci tensor and scalar curvature but not the full Riemann tensor, suggesting the possibility of a further extension of this framework. |
| first_indexed | 2024-09-23T16:37:20Z |
| format | Article |
| id | mit-1721.1/88685 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T16:37:20Z |
| publishDate | 2014 |
| publisher | American Institute of Physics (AIP) |
| record_format | dspace |
| spelling | mit-1721.1/886852022-09-29T20:21:33Z Towards an invariant geometry of double field theory Hohm, Olaf Zwiebach, Barton Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Zwiebach, Barton We introduce a geometrical framework for double field theory in which generalized Riemann and torsion tensors are defined without reference to a particular basis. This invariant geometry provides a unifying framework for the frame-like and metric-like formulations developed before. We discuss the relation to generalized geometry and give an “index-free” proof of the algebraic Bianchi identity. Finally, we analyze to what extent the generalized Riemann tensor encodes the curvatures of Riemannian geometry. We show that it contains the conventional Ricci tensor and scalar curvature but not the full Riemann tensor, suggesting the possibility of a further extension of this framework. United States. Dept. of Energy (Cooperative Research Agreement DE-FG02-05ER41360) 2014-08-11T19:33:04Z 2014-08-11T19:33:04Z 2013-03 2013-01 Article http://purl.org/eprint/type/JournalArticle 00222488 http://hdl.handle.net/1721.1/88685 Hohm, Olaf, and Barton Zwiebach. "Towards an invariant geometry of double field theory." J. Math. Phys. 54, 032303 (2013). https://orcid.org/0000-0001-6504-3210 en_US http://dx.doi.org/10.1063/1.4795513 Journal of Mathematical Physics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf American Institute of Physics (AIP) arXiv |
| spellingShingle | Hohm, Olaf Zwiebach, Barton Towards an invariant geometry of double field theory |
| title | Towards an invariant geometry of double field theory |
| title_full | Towards an invariant geometry of double field theory |
| title_fullStr | Towards an invariant geometry of double field theory |
| title_full_unstemmed | Towards an invariant geometry of double field theory |
| title_short | Towards an invariant geometry of double field theory |
| title_sort | towards an invariant geometry of double field theory |
| url | http://hdl.handle.net/1721.1/88685 https://orcid.org/0000-0001-6504-3210 |
| work_keys_str_mv | AT hohmolaf towardsaninvariantgeometryofdoublefieldtheory AT zwiebachbarton towardsaninvariantgeometryofdoublefieldtheory |