Tensionless strings and Galilean Conformal Algebra
We discuss an intriguing link between the symmetries of the tensionless limit of closed string theory and the 2-dimensional Galilean Conformal Algebra (2d GCA). 2d GCA has been studied in the context of the non-relativistic limit of AdS/CFT and more recently in flat-space holography as the proposed...
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| Format: | Article |
| Language: | English |
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Springer-Verlag
2016
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| Online Access: | http://hdl.handle.net/1721.1/104655 |
| _version_ | 1811093361885446144 |
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| author | Bagchi, Arjun |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Bagchi, Arjun |
| author_sort | Bagchi, Arjun |
| collection | MIT |
| description | We discuss an intriguing link between the symmetries of the tensionless limit of closed string theory and the 2-dimensional Galilean Conformal Algebra (2d GCA). 2d GCA has been studied in the context of the non-relativistic limit of AdS/CFT and more recently in flat-space holography as the proposed symmetry algebra of the field theory dual to 3d Minkowski spacetimes. It is best understood as a contraction of two copies of the Virasoro algebra. In this note, we link this to the tensionless limit of bosonic closed string theory showing how it emerges naturally as a contraction of the residual gauge symmetries of the tensile string in the conformal gauge. We also discuss a possible “dual” interpretation in terms of a point-particle like limit. We show that this different contraction, motivated by an exchange of world-sheet space and time co-ordinates, leads to the same symmetry algebra and provide further evidence in support of our claim by looking at the theory on a torus. |
| first_indexed | 2024-09-23T15:44:02Z |
| format | Article |
| id | mit-1721.1/104655 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T15:44:02Z |
| publishDate | 2016 |
| publisher | Springer-Verlag |
| record_format | dspace |
| spelling | mit-1721.1/1046552022-09-29T15:49:58Z Tensionless strings and Galilean Conformal Algebra Bagchi, Arjun Massachusetts Institute of Technology. Center for Theoretical Physics Bagchi, Arjun We discuss an intriguing link between the symmetries of the tensionless limit of closed string theory and the 2-dimensional Galilean Conformal Algebra (2d GCA). 2d GCA has been studied in the context of the non-relativistic limit of AdS/CFT and more recently in flat-space holography as the proposed symmetry algebra of the field theory dual to 3d Minkowski spacetimes. It is best understood as a contraction of two copies of the Virasoro algebra. In this note, we link this to the tensionless limit of bosonic closed string theory showing how it emerges naturally as a contraction of the residual gauge symmetries of the tensile string in the conformal gauge. We also discuss a possible “dual” interpretation in terms of a point-particle like limit. We show that this different contraction, motivated by an exchange of world-sheet space and time co-ordinates, leads to the same symmetry algebra and provide further evidence in support of our claim by looking at the theory on a torus. Engineering and Physical Sciences Research Council Scottish University Physics Alliance (Early Career Grant) Edinburgh Partnership in Engineering and Mathematics (Early Career Grant) 2016-10-06T20:05:29Z 2016-10-06T20:05:29Z 2013-05 2016-08-18T15:37:39Z Article http://purl.org/eprint/type/JournalArticle 1029-8479 http://hdl.handle.net/1721.1/104655 Bagchi, Arjun. “Tensionless Strings and Galilean Conformal Algebra.” Journal of High Energy Physics 2013.5 (2013): n. pag. en http://dx.doi.org/10.1007/JHEP05(2013)141 Journal of High Energy Physics Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. SISSA, Trieste, Italy application/pdf Springer-Verlag Springer-Verlag |
| spellingShingle | Bagchi, Arjun Tensionless strings and Galilean Conformal Algebra |
| title | Tensionless strings and Galilean Conformal Algebra |
| title_full | Tensionless strings and Galilean Conformal Algebra |
| title_fullStr | Tensionless strings and Galilean Conformal Algebra |
| title_full_unstemmed | Tensionless strings and Galilean Conformal Algebra |
| title_short | Tensionless strings and Galilean Conformal Algebra |
| title_sort | tensionless strings and galilean conformal algebra |
| url | http://hdl.handle.net/1721.1/104655 |
| work_keys_str_mv | AT bagchiarjun tensionlessstringsandgalileanconformalalgebra |