Global symmetry-breaking and generalized theta-terms in Type IIB EFTs

Abstract A longstanding conjecture states that global symmetries should be absent in quantum gravity. By investigating large classes of Type IIB four-dimensional N $$ \mathcal{N} $$ = 2 effective field theories, we enlist the potential generalized global symmetries that could be present and explore...

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Main Authors: Thomas W. Grimm, Stefano Lanza, Thomas van Vuren
Format: Article
Language:English
Published: SpringerOpen 2023-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP10(2023)154
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author Thomas W. Grimm
Stefano Lanza
Thomas van Vuren
author_facet Thomas W. Grimm
Stefano Lanza
Thomas van Vuren
author_sort Thomas W. Grimm
collection DOAJ
description Abstract A longstanding conjecture states that global symmetries should be absent in quantum gravity. By investigating large classes of Type IIB four-dimensional N $$ \mathcal{N} $$ = 2 effective field theories, we enlist the potential generalized global symmetries that could be present and explore how they are avoided. Crucial ingredients that arise in such effective field theories are generalized θ-terms. These introduce non-linear couplings between axion fields and topological terms quadratic in the gauge field strengths which break a large subset of the global symmetries. Additional residual global symmetries may further be broken by assuming the existence of some charged states. However, we illustrate that the presence of generalized θ-terms leads to a generalized Witten effect, which implies that the spectrum of charged states is constituted by an infinitely populated lattice. We further show that such a lattice is generated by the action of the monodromy transformation that characterizes the moduli space boundary near which the effective theory is defined.
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spelling doaj.art-514bcf8302a442c6b5a54ee68d646f902024-01-28T12:12:31ZengSpringerOpenJournal of High Energy Physics1029-84792023-10-0120231016010.1007/JHEP10(2023)154Global symmetry-breaking and generalized theta-terms in Type IIB EFTsThomas W. Grimm0Stefano Lanza1Thomas van Vuren2Institute for Theoretical Physics, Utrecht UniversityInstitute for Theoretical Physics, Utrecht UniversityInstitute for Theoretical Physics, Utrecht UniversityAbstract A longstanding conjecture states that global symmetries should be absent in quantum gravity. By investigating large classes of Type IIB four-dimensional N $$ \mathcal{N} $$ = 2 effective field theories, we enlist the potential generalized global symmetries that could be present and explore how they are avoided. Crucial ingredients that arise in such effective field theories are generalized θ-terms. These introduce non-linear couplings between axion fields and topological terms quadratic in the gauge field strengths which break a large subset of the global symmetries. Additional residual global symmetries may further be broken by assuming the existence of some charged states. However, we illustrate that the presence of generalized θ-terms leads to a generalized Witten effect, which implies that the spectrum of charged states is constituted by an infinitely populated lattice. We further show that such a lattice is generated by the action of the monodromy transformation that characterizes the moduli space boundary near which the effective theory is defined.https://doi.org/10.1007/JHEP10(2023)154Effective Field TheoriesGlobal SymmetriesFlux CompactificationsDiscrete Symmetries
spellingShingle Thomas W. Grimm
Stefano Lanza
Thomas van Vuren
Global symmetry-breaking and generalized theta-terms in Type IIB EFTs
Journal of High Energy Physics
Effective Field Theories
Global Symmetries
Flux Compactifications
Discrete Symmetries
title Global symmetry-breaking and generalized theta-terms in Type IIB EFTs
title_full Global symmetry-breaking and generalized theta-terms in Type IIB EFTs
title_fullStr Global symmetry-breaking and generalized theta-terms in Type IIB EFTs
title_full_unstemmed Global symmetry-breaking and generalized theta-terms in Type IIB EFTs
title_short Global symmetry-breaking and generalized theta-terms in Type IIB EFTs
title_sort global symmetry breaking and generalized theta terms in type iib efts
topic Effective Field Theories
Global Symmetries
Flux Compactifications
Discrete Symmetries
url https://doi.org/10.1007/JHEP10(2023)154
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