Systematics of the α′ expansion in F-theory

Abstract Extracting reliable low-energy information from string compactifications notoriously requires a detailed understanding of the UV sensitivity of the corresponding effective field theories. Despite past efforts in computing perturbative string corrections to the tree-level action, neither a s...

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Main Authors: M. Cicoli, F. Quevedo, R. Savelli, A. Schachner, R. Valandro
Format: Article
Language:English
Published: SpringerOpen 2021-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP08(2021)099
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author M. Cicoli
F. Quevedo
R. Savelli
A. Schachner
R. Valandro
author_facet M. Cicoli
F. Quevedo
R. Savelli
A. Schachner
R. Valandro
author_sort M. Cicoli
collection DOAJ
description Abstract Extracting reliable low-energy information from string compactifications notoriously requires a detailed understanding of the UV sensitivity of the corresponding effective field theories. Despite past efforts in computing perturbative string corrections to the tree-level action, neither a systematic approach nor a unified framework has emerged yet. We make progress in this direction, focusing on the moduli dependence of perturbative corrections to the 4D scalar potential of type IIB Calabi-Yau orientifold compactifications. We proceed by employing two strategies. First, we use two rescaling symmetries of type IIB string theory to infer the dependence of any perturbative correction on both the dilaton and the Calabi-Yau volume. Second, we use F/M-theory duality to conclude that KK reductions on elliptically-fibred Calabi-Yau fourfolds of the M-theory action at any order in the derivative expansion can only generate (α′)even corrections to the 4D scalar potential, which, moreover, all vanish for trivial fibrations. We finally give evidence that (α′)odd effects arise from integrating out KK and winding modes on the elliptic fibration and argue that the leading no-scale breaking effects at string tree-level arise from (α′)3 effects, modulo potential logarithmic corrections.
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spelling doaj.art-a23bd892ae8447b4b17fe86d3b5d49702022-12-21T18:40:06ZengSpringerOpenJournal of High Energy Physics1029-84792021-08-012021815510.1007/JHEP08(2021)099Systematics of the α′ expansion in F-theoryM. Cicoli0F. Quevedo1R. Savelli2A. Schachner3R. Valandro4Dipartimento di Fisica e Astronomia, Università di BolognaDAMTP, University of CambridgeDipartimento di Fisica, Università di Roma Tor Vergata and INFNDAMTP, University of CambridgeDipartimento di Fisica, Università di TriesteAbstract Extracting reliable low-energy information from string compactifications notoriously requires a detailed understanding of the UV sensitivity of the corresponding effective field theories. Despite past efforts in computing perturbative string corrections to the tree-level action, neither a systematic approach nor a unified framework has emerged yet. We make progress in this direction, focusing on the moduli dependence of perturbative corrections to the 4D scalar potential of type IIB Calabi-Yau orientifold compactifications. We proceed by employing two strategies. First, we use two rescaling symmetries of type IIB string theory to infer the dependence of any perturbative correction on both the dilaton and the Calabi-Yau volume. Second, we use F/M-theory duality to conclude that KK reductions on elliptically-fibred Calabi-Yau fourfolds of the M-theory action at any order in the derivative expansion can only generate (α′)even corrections to the 4D scalar potential, which, moreover, all vanish for trivial fibrations. We finally give evidence that (α′)odd effects arise from integrating out KK and winding modes on the elliptic fibration and argue that the leading no-scale breaking effects at string tree-level arise from (α′)3 effects, modulo potential logarithmic corrections.https://doi.org/10.1007/JHEP08(2021)099F-TheoryFlux compactificationsSuperstring Vacua
spellingShingle M. Cicoli
F. Quevedo
R. Savelli
A. Schachner
R. Valandro
Systematics of the α′ expansion in F-theory
Journal of High Energy Physics
F-Theory
Flux compactifications
Superstring Vacua
title Systematics of the α′ expansion in F-theory
title_full Systematics of the α′ expansion in F-theory
title_fullStr Systematics of the α′ expansion in F-theory
title_full_unstemmed Systematics of the α′ expansion in F-theory
title_short Systematics of the α′ expansion in F-theory
title_sort systematics of the α expansion in f theory
topic F-Theory
Flux compactifications
Superstring Vacua
url https://doi.org/10.1007/JHEP08(2021)099
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AT rvalandro systematicsoftheaexpansioninftheory