β symmetry of heterotic supergravity

Abstract The low energy effective action describing the Kaluza-Klein reduction of string theory on a d-torus possesses a continuous O(d, d) global symmetry. The non-geometric piece of this symmetry, parameterized by a bi-vector β, was recently shown to effectively act as a hidden symmetry on the mas...

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Main Authors: Walter H. Baron, Carmen A. Núñez, Jesús A. Rodríguez
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP01(2025)127
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author Walter H. Baron
Carmen A. Núñez
Jesús A. Rodríguez
author_facet Walter H. Baron
Carmen A. Núñez
Jesús A. Rodríguez
author_sort Walter H. Baron
collection DOAJ
description Abstract The low energy effective action describing the Kaluza-Klein reduction of string theory on a d-torus possesses a continuous O(d, d) global symmetry. The non-geometric piece of this symmetry, parameterized by a bi-vector β, was recently shown to effectively act as a hidden symmetry on the massless RR and universal NSNS fields of the ten dimensional parent theory, fixing their couplings. Here we extend the analysis of this symmetry to the massless gauge and fermion fields of heterotic supergravity. While the interactions of the boson fields are univocally fixed by β symmetry, we find four bilinear and two quartic β invariant combinations of fermions whose relative coefficients in the action must be determined by supersymmetry. Although not fully fixed, bilinear and quartic fermion couplings are strongly restricted by β symmetry at leading order in α ′ .
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series Journal of High Energy Physics
spelling doaj-art-91fba0ffa0854c2cafc10dbd6453b3c62025-02-09T12:08:15ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025112010.1007/JHEP01(2025)127β symmetry of heterotic supergravityWalter H. Baron0Carmen A. Núñez1Jesús A. Rodríguez2Instituto de Física de La Plata, (CONICET-UNLP), Departamento de Matemática, Universidad Nacional de La PlataInstituto de Astronomía y Física del Espacio, (CONICET-UBA), Ciudad UniversitariaDepartamento de Física, Universidad de Buenos Aires, Ciudad UniversitariaAbstract The low energy effective action describing the Kaluza-Klein reduction of string theory on a d-torus possesses a continuous O(d, d) global symmetry. The non-geometric piece of this symmetry, parameterized by a bi-vector β, was recently shown to effectively act as a hidden symmetry on the massless RR and universal NSNS fields of the ten dimensional parent theory, fixing their couplings. Here we extend the analysis of this symmetry to the massless gauge and fermion fields of heterotic supergravity. While the interactions of the boson fields are univocally fixed by β symmetry, we find four bilinear and two quartic β invariant combinations of fermions whose relative coefficients in the action must be determined by supersymmetry. Although not fully fixed, bilinear and quartic fermion couplings are strongly restricted by β symmetry at leading order in α ′ .https://doi.org/10.1007/JHEP01(2025)127String DualitySuperstrings and Heterotic StringsSupersymmetry and Duality
spellingShingle Walter H. Baron
Carmen A. Núñez
Jesús A. Rodríguez
β symmetry of heterotic supergravity
Journal of High Energy Physics
String Duality
Superstrings and Heterotic Strings
Supersymmetry and Duality
title β symmetry of heterotic supergravity
title_full β symmetry of heterotic supergravity
title_fullStr β symmetry of heterotic supergravity
title_full_unstemmed β symmetry of heterotic supergravity
title_short β symmetry of heterotic supergravity
title_sort β symmetry of heterotic supergravity
topic String Duality
Superstrings and Heterotic Strings
Supersymmetry and Duality
url https://doi.org/10.1007/JHEP01(2025)127
work_keys_str_mv AT walterhbaron bsymmetryofheteroticsupergravity
AT carmenanunez bsymmetryofheteroticsupergravity
AT jesusarodriguez bsymmetryofheteroticsupergravity