Duality invariance and higher derivatives

We dimensionally reduce the spacetime action of bosonic string theory, and that of the bosonic sector of heterotic string theory after truncating the Yang-Mills gauge fields, on a d -dimensional torus including all higher-derivative corrections to first order in α ′ . A systematic procedure is devel...

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Bibliographic Details
Published in:Physical review. D 2020-06, Vol.101 (12), p.1, Article 126018
Main Authors: Eloy, Camille, Hohm, Olaf, Samtleben, Henning
Format: Article
Language:English
Subjects:
Derivatives
Invariance
String theory
Toruses
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Summary:We dimensionally reduce the spacetime action of bosonic string theory, and that of the bosonic sector of heterotic string theory after truncating the Yang-Mills gauge fields, on a d -dimensional torus including all higher-derivative corrections to first order in α ′ . A systematic procedure is developed that brings this action into a minimal form in which all fields except the metric carry only first-order derivatives. This action is shown to be invariant under O ( d , d , R ) transformations that acquire α ′ -corrections through a Green-Schwarz type mechanism. We prove that, up to a global prefactor, the first-order α ′ -corrections are uniquely determined by O ( d , d , R ) invariance.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.101.126018