T-duality invariant effective actions at orders α′, α′2
Abstract We use compatibility of the D-dimensional effective actions for diagonal metric and for dilaton with the T-duality when theory is compactified on a circle, to find the D-dimensional couplings of curvatures and dilaton as well as the higher derivative corrections to the (D − 1)-dimensional B...
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Format: | Article |
Language: | English |
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SpringerOpen
2018-02-01
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Series: | Journal of High Energy Physics |
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Online Access: | http://link.springer.com/article/10.1007/JHEP02(2018)056 |
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author | Hamid Razaghian Mohammad R. Garousi |
author_facet | Hamid Razaghian Mohammad R. Garousi |
author_sort | Hamid Razaghian |
collection | DOAJ |
description | Abstract We use compatibility of the D-dimensional effective actions for diagonal metric and for dilaton with the T-duality when theory is compactified on a circle, to find the D-dimensional couplings of curvatures and dilaton as well as the higher derivative corrections to the (D − 1)-dimensional Buscher rules at orders α′ and α′2. We observe that the T-duality constraint on the effective actions fixes the covariant effective actions at each order of α′ up to field redefinitions and up to an overall factor. Inspired by these results, we speculate that the D-dimensional effective actions at any order of α′ must be consistent with the standard Buscher rules provided that one uses covariant field redefinitions in the corresponding reduced (D − 1)-dimensional effective actions. This constraint may be used to find effective actions at all higher orders of α′. |
first_indexed | 2024-12-12T17:29:46Z |
format | Article |
id | doaj.art-e4bdb7627a2148f28ac96d4916b3a222 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-12T17:29:46Z |
publishDate | 2018-02-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj.art-e4bdb7627a2148f28ac96d4916b3a2222022-12-22T00:17:26ZengSpringerOpenJournal of High Energy Physics1029-84792018-02-012018212510.1007/JHEP02(2018)056T-duality invariant effective actions at orders α′, α′2Hamid Razaghian0Mohammad R. Garousi1Department of Physics, Faculty of Science, Ferdowsi University of MashhadDepartment of Physics, Faculty of Science, Ferdowsi University of MashhadAbstract We use compatibility of the D-dimensional effective actions for diagonal metric and for dilaton with the T-duality when theory is compactified on a circle, to find the D-dimensional couplings of curvatures and dilaton as well as the higher derivative corrections to the (D − 1)-dimensional Buscher rules at orders α′ and α′2. We observe that the T-duality constraint on the effective actions fixes the covariant effective actions at each order of α′ up to field redefinitions and up to an overall factor. Inspired by these results, we speculate that the D-dimensional effective actions at any order of α′ must be consistent with the standard Buscher rules provided that one uses covariant field redefinitions in the corresponding reduced (D − 1)-dimensional effective actions. This constraint may be used to find effective actions at all higher orders of α′.http://link.springer.com/article/10.1007/JHEP02(2018)056String DualityBosonic StringsSuperstrings and Heterotic Strings |
spellingShingle | Hamid Razaghian Mohammad R. Garousi T-duality invariant effective actions at orders α′, α′2 Journal of High Energy Physics String Duality Bosonic Strings Superstrings and Heterotic Strings |
title | T-duality invariant effective actions at orders α′, α′2 |
title_full | T-duality invariant effective actions at orders α′, α′2 |
title_fullStr | T-duality invariant effective actions at orders α′, α′2 |
title_full_unstemmed | T-duality invariant effective actions at orders α′, α′2 |
title_short | T-duality invariant effective actions at orders α′, α′2 |
title_sort | t duality invariant effective actions at orders α α 2 |
topic | String Duality Bosonic Strings Superstrings and Heterotic Strings |
url | http://link.springer.com/article/10.1007/JHEP02(2018)056 |
work_keys_str_mv | AT hamidrazaghian tdualityinvarianteffectiveactionsatordersaa2 AT mohammadrgarousi tdualityinvarianteffectiveactionsatordersaa2 |