The α′2 correction from double field theory

Abstract It is known that the order α′ correction to the tree-level effective action for the bosonic and heterotic string can be described in the framework of Double Field Theory (DFT). Here we determine the DFT action and transformations at order α′2 by a direct calculation. The result is vastly si...

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Main Authors: Stanislav Hronek, Linus Wulff, Salomon Zacarías
Format: Article
Language:English
Published: SpringerOpen 2022-11-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP11(2022)090
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author Stanislav Hronek
Linus Wulff
Salomon Zacarías
author_facet Stanislav Hronek
Linus Wulff
Salomon Zacarías
author_sort Stanislav Hronek
collection DOAJ
description Abstract It is known that the order α′ correction to the tree-level effective action for the bosonic and heterotic string can be described in the framework of Double Field Theory (DFT). Here we determine the DFT action and transformations at order α′2 by a direct calculation. The result is vastly simpler than previous proposals. We show that this correction reproduces the known α′2 correction to the heterotic string effective action. The relation of our action to an (implicit) all order proposal coming from the so-called generalized Bergshoeff-de Roo identification is also discussed.
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spelling doaj.art-8213cb9dd5424540a03f6845081bab2a2023-03-22T10:15:12ZengSpringerOpenJournal of High Energy Physics1029-84792022-11-0120221114410.1007/JHEP11(2022)090The α′2 correction from double field theoryStanislav Hronek0Linus Wulff1Salomon Zacarías2Department of Theoretical Physics and Astrophysics, Faculty of Science, Masaryk UniversityDepartment of Theoretical Physics and Astrophysics, Faculty of Science, Masaryk UniversityDepartment of Theoretical Physics and Astrophysics, Faculty of Science, Masaryk UniversityAbstract It is known that the order α′ correction to the tree-level effective action for the bosonic and heterotic string can be described in the framework of Double Field Theory (DFT). Here we determine the DFT action and transformations at order α′2 by a direct calculation. The result is vastly simpler than previous proposals. We show that this correction reproduces the known α′2 correction to the heterotic string effective action. The relation of our action to an (implicit) all order proposal coming from the so-called generalized Bergshoeff-de Roo identification is also discussed.https://doi.org/10.1007/JHEP11(2022)090Bosonic StringsGauge SymmetryString DualitySuperstrings and Heterotic Strings
spellingShingle Stanislav Hronek
Linus Wulff
Salomon Zacarías
The α′2 correction from double field theory
Journal of High Energy Physics
Bosonic Strings
Gauge Symmetry
String Duality
Superstrings and Heterotic Strings
title The α′2 correction from double field theory
title_full The α′2 correction from double field theory
title_fullStr The α′2 correction from double field theory
title_full_unstemmed The α′2 correction from double field theory
title_short The α′2 correction from double field theory
title_sort α 2 correction from double field theory
topic Bosonic Strings
Gauge Symmetry
String Duality
Superstrings and Heterotic Strings
url https://doi.org/10.1007/JHEP11(2022)090
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