Higher derivative heterotic supergravity on a torus and supersymmetry

Abstract Ignoring ten-dimensional heterotic gauge fields, heterotic supergravity reduced on a d-dimensional torus gives rise to a half-maximal supergravity coupled to d vector multiplets. The reduced theory has a continuous O(d, d; ℝ)/O(d)− × O(d)+ symmetry that persists to all perturbative orders i...

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Main Authors: Sabarenath Jayaprakash, James T. Liu
Format: Article
Language:English
Published: SpringerOpen 2024-12-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP12(2024)076
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author Sabarenath Jayaprakash
James T. Liu
author_facet Sabarenath Jayaprakash
James T. Liu
author_sort Sabarenath Jayaprakash
collection DOAJ
description Abstract Ignoring ten-dimensional heterotic gauge fields, heterotic supergravity reduced on a d-dimensional torus gives rise to a half-maximal supergravity coupled to d vector multiplets. The reduced theory has a continuous O(d, d; ℝ)/O(d)− × O(d)+ symmetry that persists to all perturbative orders in the string α ′ expansion. We highlight this symmetry by explicitly reducing the bosonic sector of four-derivative heterotic supergravity as well as its fermionic supersymmetry variations. After appropriate field redefinitions, the resulting action and supersymmetry variations are manifestly O(d) − × O(d)+ invariant. This reduction allows us to explore the interplay between the gravity and vector multiplets beyond leading order, where (in our conventions) O(d)− is the supergravity R-symmetry while O(d)+ is a flavor symmetry of the d vector multiplets.
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spelling doaj-art-256d706861444b43b7f252a62722eca12025-08-20T02:39:55ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241212610.1007/JHEP12(2024)076Higher derivative heterotic supergravity on a torus and supersymmetrySabarenath Jayaprakash0James T. Liu1Leinweber Center for Theoretical Physics, University of MichiganLeinweber Center for Theoretical Physics, University of MichiganAbstract Ignoring ten-dimensional heterotic gauge fields, heterotic supergravity reduced on a d-dimensional torus gives rise to a half-maximal supergravity coupled to d vector multiplets. The reduced theory has a continuous O(d, d; ℝ)/O(d)− × O(d)+ symmetry that persists to all perturbative orders in the string α ′ expansion. We highlight this symmetry by explicitly reducing the bosonic sector of four-derivative heterotic supergravity as well as its fermionic supersymmetry variations. After appropriate field redefinitions, the resulting action and supersymmetry variations are manifestly O(d) − × O(d)+ invariant. This reduction allows us to explore the interplay between the gravity and vector multiplets beyond leading order, where (in our conventions) O(d)− is the supergravity R-symmetry while O(d)+ is a flavor symmetry of the d vector multiplets.https://doi.org/10.1007/JHEP12(2024)076Superstrings and Heterotic StringsSpace-Time SymmetriesSupergravity Models
spellingShingle Sabarenath Jayaprakash
James T. Liu
Higher derivative heterotic supergravity on a torus and supersymmetry
Journal of High Energy Physics
Superstrings and Heterotic Strings
Space-Time Symmetries
Supergravity Models
title Higher derivative heterotic supergravity on a torus and supersymmetry
title_full Higher derivative heterotic supergravity on a torus and supersymmetry
title_fullStr Higher derivative heterotic supergravity on a torus and supersymmetry
title_full_unstemmed Higher derivative heterotic supergravity on a torus and supersymmetry
title_short Higher derivative heterotic supergravity on a torus and supersymmetry
title_sort higher derivative heterotic supergravity on a torus and supersymmetry
topic Superstrings and Heterotic Strings
Space-Time Symmetries
Supergravity Models
url https://doi.org/10.1007/JHEP12(2024)076
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AT jamestliu higherderivativeheteroticsupergravityonatorusandsupersymmetry