Modular Fluxes, Elliptic Genera, and Weak Gravity Conjectures in Four Dimensions

We analyse the Weak Gravity Conjecture for chiral four-dimensional F-theory compactifications with N = 1 supersymmetry. Extending our previous work on nearly tensionless heterotic strings in six dimensions, we show that under certain assumptions a tower of asymptotically massless states arises in th...

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Detalles Bibliográficos
Autores principales: Lee, Seung-Joo, Lerche, Wolfgang, Weigand, Timo
Lenguaje:eng
Publicado: 2019
Materias:
hep-th
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1007/JHEP08(2019)104
http://cds.cern.ch/record/2657689
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author Lee, Seung-Joo
Lerche, Wolfgang
Weigand, Timo
author_facet Lee, Seung-Joo
Lerche, Wolfgang
Weigand, Timo
author_sort Lee, Seung-Joo
collection CERN
description We analyse the Weak Gravity Conjecture for chiral four-dimensional F-theory compactifications with N = 1 supersymmetry. Extending our previous work on nearly tensionless heterotic strings in six dimensions, we show that under certain assumptions a tower of asymptotically massless states arises in the limit of vanishing coupling of a U(1) gauge symmetry coupled to gravity. This tower contains super-extremal states whose charge-to-mass ratios are larger than those of certain extremal dilatonic Reissner-Nordström black holes, precisely as required by the Weak Gravity Conjecture. Unlike in six dimensions, the tower of super-extremal states does not always populate a charge sub-lattice.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2019
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spelling cern-26576892023-10-04T06:56:01Zdoi:10.1007/JHEP08(2019)104http://cds.cern.ch/record/2657689engLee, Seung-JooLerche, WolfgangWeigand, TimoModular Fluxes, Elliptic Genera, and Weak Gravity Conjectures in Four Dimensionshep-thParticle Physics - TheoryWe analyse the Weak Gravity Conjecture for chiral four-dimensional F-theory compactifications with N = 1 supersymmetry. Extending our previous work on nearly tensionless heterotic strings in six dimensions, we show that under certain assumptions a tower of asymptotically massless states arises in the limit of vanishing coupling of a U(1) gauge symmetry coupled to gravity. This tower contains super-extremal states whose charge-to-mass ratios are larger than those of certain extremal dilatonic Reissner-Nordström black holes, precisely as required by the Weak Gravity Conjecture. Unlike in six dimensions, the tower of super-extremal states does not always populate a charge sub-lattice.We analyse the Weak Gravity Conjecture for chiral four-dimensional F-theory compactifications with N=1 supersymmetry. Extending our previous work on nearly tensionless heterotic strings in six dimensions, we show that under certain assumptions a tower of asymptotically massless states arises in the limit of vanishing coupling of a U(1) gauge symmetry coupled to gravity. This tower contains super-extremal states whose charge-to-mass ratios are larger than those of certain extremal dilatonic Reissner-Nordstrom black holes, precisely as required by the Weak Gravity Conjecture. Unlike in six dimensions, the tower of super-extremal states does not always populate a charge sub-lattice. The main tool for our analysis is the elliptic genus of the emergent heterotic string in the chiral N=1 supersymmetric effective theories. This also governs situations where the heterotic string is non-perturbative. We show how it can be computed in terms of BPS invariants on elliptic four-folds, by making use of various dualities and mirror symmetry. Compared to six dimensions, the geometry of the relevant elliptically fibered four-folds is substantially richer than that of the three-folds, and we classify the possibilities for obtaining critical, nearly tensionless heterotic strings. We find that the (quasi-)modular properties of the elliptic genus crucially depend on the choice of flux background. Our general results are illustrated in a detailed example.arXiv:1901.08065oai:cds.cern.ch:26576892019-01-23
spellingShingle hep-th
Particle Physics - Theory
Lee, Seung-Joo
Lerche, Wolfgang
Weigand, Timo
Modular Fluxes, Elliptic Genera, and Weak Gravity Conjectures in Four Dimensions
title Modular Fluxes, Elliptic Genera, and Weak Gravity Conjectures in Four Dimensions
title_full Modular Fluxes, Elliptic Genera, and Weak Gravity Conjectures in Four Dimensions
title_fullStr Modular Fluxes, Elliptic Genera, and Weak Gravity Conjectures in Four Dimensions
title_full_unstemmed Modular Fluxes, Elliptic Genera, and Weak Gravity Conjectures in Four Dimensions
title_short Modular Fluxes, Elliptic Genera, and Weak Gravity Conjectures in Four Dimensions
title_sort modular fluxes, elliptic genera, and weak gravity conjectures in four dimensions
topic hep-th
Particle Physics - Theory
url https://dx.doi.org/10.1007/JHEP08(2019)104
http://cds.cern.ch/record/2657689
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AT lerchewolfgang modularfluxesellipticgeneraandweakgravityconjecturesinfourdimensions
AT weigandtimo modularfluxesellipticgeneraandweakgravityconjecturesinfourdimensions

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