Nonrelativistic string theory and T-duality
Abstract Nonrelativistic string theory in flat spacetime is described by a two-dimensional quantum field theory with a nonrelativistic global symmetry acting on the worldsheet fields. Nonrelativistic string theory is unitary, ultraviolet complete and has a string spectrum and spacetime S-matrix enjo...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP11(2018)133 |
| _version_ | 1811194397389225984 |
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| author | Eric Bergshoeff Jaume Gomis Ziqi Yan |
| author_facet | Eric Bergshoeff Jaume Gomis Ziqi Yan |
| author_sort | Eric Bergshoeff |
| collection | DOAJ |
| description | Abstract Nonrelativistic string theory in flat spacetime is described by a two-dimensional quantum field theory with a nonrelativistic global symmetry acting on the worldsheet fields. Nonrelativistic string theory is unitary, ultraviolet complete and has a string spectrum and spacetime S-matrix enjoying nonrelativistic symmetry. The worldsheet theory of nonrelativistic string theory is coupled to a curved spacetime background and to a Kalb-Ramond two-form and dilaton field. The appropriate spacetime geometry for nonrelativistic string theory is dubbed string Newton-Cartan geometry, which is distinct from Riemannian geometry. This defines the sigma model of nonrelativistic string theory describing strings propagating and interacting in curved background fields. We also implement T-duality transformations in the path integral of this sigma model and uncover the spacetime interpretation of T-duality. We show that T-duality along the longitudinal direction of the string Newton-Cartan geometry describes relativistic string theory on a Lorentzian geometry with a compact lightlike isometry, which is otherwise only defined by a subtle infinite boost limit. This relation provides a first principles definition of string theory in the discrete light cone quantization (DLCQ) in an arbitrary background, a quantization that appears in nonperturbative approaches to quantum field theory and string/M-theory, such as in Matrix theory. T-duality along a transverse direction of the string Newton-Cartan geometry equates nonrelativistic string theory in two distinct, T-dual backgrounds. |
| first_indexed | 2024-04-12T00:25:21Z |
| format | Article |
| id | doaj.art-5ad26e9824984e33a8efaba02f59218d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T00:25:21Z |
| publishDate | 2018-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-5ad26e9824984e33a8efaba02f59218d2022-12-22T03:55:31ZengSpringerOpenJournal of High Energy Physics1029-84792018-11-0120181112310.1007/JHEP11(2018)133Nonrelativistic string theory and T-dualityEric Bergshoeff0Jaume Gomis1Ziqi Yan2Van Swinderen Institute, University of GroningenPerimeter Institute for Theoretical PhysicsPerimeter Institute for Theoretical PhysicsAbstract Nonrelativistic string theory in flat spacetime is described by a two-dimensional quantum field theory with a nonrelativistic global symmetry acting on the worldsheet fields. Nonrelativistic string theory is unitary, ultraviolet complete and has a string spectrum and spacetime S-matrix enjoying nonrelativistic symmetry. The worldsheet theory of nonrelativistic string theory is coupled to a curved spacetime background and to a Kalb-Ramond two-form and dilaton field. The appropriate spacetime geometry for nonrelativistic string theory is dubbed string Newton-Cartan geometry, which is distinct from Riemannian geometry. This defines the sigma model of nonrelativistic string theory describing strings propagating and interacting in curved background fields. We also implement T-duality transformations in the path integral of this sigma model and uncover the spacetime interpretation of T-duality. We show that T-duality along the longitudinal direction of the string Newton-Cartan geometry describes relativistic string theory on a Lorentzian geometry with a compact lightlike isometry, which is otherwise only defined by a subtle infinite boost limit. This relation provides a first principles definition of string theory in the discrete light cone quantization (DLCQ) in an arbitrary background, a quantization that appears in nonperturbative approaches to quantum field theory and string/M-theory, such as in Matrix theory. T-duality along a transverse direction of the string Newton-Cartan geometry equates nonrelativistic string theory in two distinct, T-dual backgrounds.http://link.springer.com/article/10.1007/JHEP11(2018)133String DualitySigma ModelsBosonic StringsClassical Theories of Gravity |
| spellingShingle | Eric Bergshoeff Jaume Gomis Ziqi Yan Nonrelativistic string theory and T-duality Journal of High Energy Physics String Duality Sigma Models Bosonic Strings Classical Theories of Gravity |
| title | Nonrelativistic string theory and T-duality |
| title_full | Nonrelativistic string theory and T-duality |
| title_fullStr | Nonrelativistic string theory and T-duality |
| title_full_unstemmed | Nonrelativistic string theory and T-duality |
| title_short | Nonrelativistic string theory and T-duality |
| title_sort | nonrelativistic string theory and t duality |
| topic | String Duality Sigma Models Bosonic Strings Classical Theories of Gravity |
| url | http://link.springer.com/article/10.1007/JHEP11(2018)133 |
| work_keys_str_mv | AT ericbergshoeff nonrelativisticstringtheoryandtduality AT jaumegomis nonrelativisticstringtheoryandtduality AT ziqiyan nonrelativisticstringtheoryandtduality |