O-plane couplings at order α′ 2: one R-R field strength

Abstract It is known that the anomalous Chern-Simons (CS) coupling of O p -plane is not consistent with the T-duality transformations. Compatibility of this coupling with the T-duality requires the inclusion of couplings involving one R-R field strength. In this paper we find such couplings at order...

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Main Authors: Mahboube Mashhadi, Mohammad R. Garousi
Format: Article
Language:English
Published: SpringerOpen 2020-06-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP06(2020)171
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author Mahboube Mashhadi
Mohammad R. Garousi
author_facet Mahboube Mashhadi
Mohammad R. Garousi
author_sort Mahboube Mashhadi
collection DOAJ
description Abstract It is known that the anomalous Chern-Simons (CS) coupling of O p -plane is not consistent with the T-duality transformations. Compatibility of this coupling with the T-duality requires the inclusion of couplings involving one R-R field strength. In this paper we find such couplings at order α′ 2. By requiring the R-R and NS-NS gauge invariances, we first find all independent couplings at order α′ 2. There are 1, 6, 28, 20, 19, 2 couplings corresponding to the R-R field strengths F (p−4), F (p−2), F (p), F (p+2), F (p+4) and F (p+6), respectively. We then impose the T-duality constraint on these couplings and on the CS coupling C (p−3) ∧ R ∧ R at order α′ 2 to fix their corresponding coefficients. The T-duality constraint fixes all coefficients in terms of the CS coefficient. They are fully consistent with the partial couplings that have been already found in the literature by the S-matrix method.
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spelling doaj.art-a28af631697f49b59402461ca418988a2022-12-22T00:21:52ZengSpringerOpenJournal of High Energy Physics1029-84792020-06-012020613010.1007/JHEP06(2020)171O-plane couplings at order α′ 2: one R-R field strengthMahboube Mashhadi0Mohammad R. Garousi1Department of Physics, Faculty of Science, Ferdowsi University of MashhadDepartment of Physics, Faculty of Science, Ferdowsi University of MashhadAbstract It is known that the anomalous Chern-Simons (CS) coupling of O p -plane is not consistent with the T-duality transformations. Compatibility of this coupling with the T-duality requires the inclusion of couplings involving one R-R field strength. In this paper we find such couplings at order α′ 2. By requiring the R-R and NS-NS gauge invariances, we first find all independent couplings at order α′ 2. There are 1, 6, 28, 20, 19, 2 couplings corresponding to the R-R field strengths F (p−4), F (p−2), F (p), F (p+2), F (p+4) and F (p+6), respectively. We then impose the T-duality constraint on these couplings and on the CS coupling C (p−3) ∧ R ∧ R at order α′ 2 to fix their corresponding coefficients. The T-duality constraint fixes all coefficients in terms of the CS coefficient. They are fully consistent with the partial couplings that have been already found in the literature by the S-matrix method.http://link.springer.com/article/10.1007/JHEP06(2020)171String DualityD-branesSuperstrings and Heterotic Strings
spellingShingle Mahboube Mashhadi
Mohammad R. Garousi
O-plane couplings at order α′ 2: one R-R field strength
Journal of High Energy Physics
String Duality
D-branes
Superstrings and Heterotic Strings
title O-plane couplings at order α′ 2: one R-R field strength
title_full O-plane couplings at order α′ 2: one R-R field strength
title_fullStr O-plane couplings at order α′ 2: one R-R field strength
title_full_unstemmed O-plane couplings at order α′ 2: one R-R field strength
title_short O-plane couplings at order α′ 2: one R-R field strength
title_sort o plane couplings at order α 2 one r r field strength
topic String Duality
D-branes
Superstrings and Heterotic Strings
url http://link.springer.com/article/10.1007/JHEP06(2020)171
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