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...

Full description

Bibliographic Details
Main Authors: Hamid Razaghian, Mohammad R. Garousi
Format: Article
Language:English
Published: SpringerOpen 2018-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP02(2018)056
_version_ 1828833930235609088
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