Double field theory
The zero modes of closed strings on a torus — the torus coordinates plus dual coordinates conjugate to winding number — parameterize a doubled torus. In closed string field theory, the string field depends on all zero-modes and so can be expanded to give an infinite set of fields on the doubled toru...
| Main Authors: | , |
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| Format: | Article |
| Language: | en_US |
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IOP Publishing
2014
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| Online Access: | http://hdl.handle.net/1721.1/88683 https://orcid.org/0000-0001-6504-3210 |
| _version_ | 1826211050754670592 |
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| author | Hull, Chris Zwiebach, Barton |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Hull, Chris Zwiebach, Barton |
| author_sort | Hull, Chris |
| collection | MIT |
| description | The zero modes of closed strings on a torus — the torus coordinates plus dual coordinates conjugate to winding number — parameterize a doubled torus. In closed string field theory, the string field depends on all zero-modes and so can be expanded to give an infinite set of fields on the doubled torus. We use string field theory to construct a theory of massless fields on the doubled torus. Key to the consistency is a constraint on fields and gauge parameters that arises from the L[subscript 0]−[bar over L][subscript 0] = 0 condition in closed string theory. The symmetry of this double field theory includes usual and `dual diffeomorphisms', together with a T-duality acting on fields that have explicit dependence on the torus coordinates and the dual coordinates. We find that, along with gravity, a Kalb-Ramond field and a dilaton must be added to support both usual and dual diffeomorphisms. We construct a fully consistent and gauge invariant action on the doubled torus to cubic order in the fields. We discuss the challenges involved in the construction of the full nonlinear theory. We emphasize that the doubled geometry is physical and the dual dimensions should not be viewed as an auxiliary structure or a gauge artifact. |
| first_indexed | 2024-09-23T15:00:06Z |
| format | Article |
| id | mit-1721.1/88683 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:00:06Z |
| publishDate | 2014 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | mit-1721.1/886832022-10-01T23:50:41Z Double field theory Hull, Chris Zwiebach, Barton Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Zwiebach, Barton The zero modes of closed strings on a torus — the torus coordinates plus dual coordinates conjugate to winding number — parameterize a doubled torus. In closed string field theory, the string field depends on all zero-modes and so can be expanded to give an infinite set of fields on the doubled torus. We use string field theory to construct a theory of massless fields on the doubled torus. Key to the consistency is a constraint on fields and gauge parameters that arises from the L[subscript 0]−[bar over L][subscript 0] = 0 condition in closed string theory. The symmetry of this double field theory includes usual and `dual diffeomorphisms', together with a T-duality acting on fields that have explicit dependence on the torus coordinates and the dual coordinates. We find that, along with gravity, a Kalb-Ramond field and a dilaton must be added to support both usual and dual diffeomorphisms. We construct a fully consistent and gauge invariant action on the doubled torus to cubic order in the fields. We discuss the challenges involved in the construction of the full nonlinear theory. We emphasize that the doubled geometry is physical and the dual dimensions should not be viewed as an auxiliary structure or a gauge artifact. United States. Dept. of Energy (Grant De-FC02-94eR40818) 2014-08-11T19:24:36Z 2014-08-11T19:24:36Z 2009-09 2009-08 Article http://purl.org/eprint/type/JournalArticle 1029-8479 1126-6708 http://hdl.handle.net/1721.1/88683 Hull, Chris, and Barton Zwiebach. “Double Field Theory.” Journal of High Energy Physics 2009, no. 09 (September 23, 2009): 099–099. https://orcid.org/0000-0001-6504-3210 en_US http://dx.doi.org/10.1088/1126-6708/2009/09/099 Journal of High Energy Physics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf IOP Publishing arXiv |
| spellingShingle | Hull, Chris Zwiebach, Barton Double field theory |
| title | Double field theory |
| title_full | Double field theory |
| title_fullStr | Double field theory |
| title_full_unstemmed | Double field theory |
| title_short | Double field theory |
| title_sort | double field theory |
| url | http://hdl.handle.net/1721.1/88683 https://orcid.org/0000-0001-6504-3210 |
| work_keys_str_mv | AT hullchris doublefieldtheory AT zwiebachbarton doublefieldtheory |