Backreaction in Axion Monodromy, 4-forms and the Swampland

Valenzuela, Irene

doi:10.22323/1.292.0112

Cited by 6 publications

(5 citation statements)

References 34 publications

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“…where both terms S · J 2 0 and S · J 2 0 are non-negative. Since we have shown above that S · J 2 0 > 0, we concludeK · C 0 > 0 , (D. 39) contradicting that C 0 belongs to the first part of (D. 35). When S supports a U (1) gauge group in the sense that it is the height-pairing divisor of a section, it has already been conjectured in [13] that there exists an integer n > 0 such that S < nK.…”

Section: Propositionmentioning

confidence: 82%

See 1 more Smart Citation

Modular fluxes, elliptic genera, and weak gravity conjectures in four dimensions

Lee

Lerche

Weigand

2019

J. High Energ. Phys.

104

203

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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-tomass 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.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. seung.joo.lee, wolfgang.lerche, timo.weigand @cern.ch arXiv:1901.08065v1 [hep-th] 23 Jan 2019 F Example of an emergent critical string in a Type B weak coupling limit 62 Table B.2: GLSM charges of the toric coordinates of the four-fold Y 4 that is an elliptic fibration over the base three-fold B 3 , which by itself is described in Table B.1.Here, each of the generators is described in terms of its intersection numbers with the 10 toric divisors d ρ := {ν ρ = 0}, for ρ = x 0 , · · · , s, where we keep the same ordering as in Table B.2. The (closure of the) Kähler cone K(Y 4 ) is then spanned by the divisor classes, where l (a) J b = δ a b for a, b = 1, . . . , 5. Note that three of the generators J 1 , J 2 , and J 4 of K(Y 4 ) are respectively pull-backs of the generators j 1 , j 2 , and j 3 in (B.6) of K(B 3 ), where, by slight abuse of notation, the base toric divisors and their pull-backs are denoted by the same symbols. Finally, the intersection polynomial is given as I(Y 4 ) = 10J 1 2 J 3 2 + 46J 2 2 J 3 2 + 262J 3 4 + 16J 3 2 J 4 2 + 4J 1 2 J 5 2 + 20J 2 2 J 5 2 + 134J 3 2 J 5 2 + 8J 4 2 J 5 2 + 52J 5 4 + 57J 3 3

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Section: Propositionmentioning

confidence: 82%

“…Suppose now that C 0 belongs to the first part of the decomposition (D. 35). If the gauge symmetry supported on S is non-abelian, we have…”

Section: Propositionmentioning

confidence: 99%

Modular fluxes, elliptic genera, and weak gravity conjectures in four dimensions

Lee

Lerche

Weigand

2019

J. High Energ. Phys.

104

203

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“…In particular, the relation between axion potentials and three‐forms as been developed in [] and utilised in the context of inflation in []. This relation has been extensively studied in string theory in a recent program of work [].…”

Section: The Emergence Proposalmentioning

confidence: 99%

The Swampland: Introduction and Review

Palti

2019

Fortschritte der Physik

951

1,097

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The Swampland program aims to distinguish effective theories which can be completed into quantum gravity in the ultraviolet from those which cannot. This article forms an introduction to the field, assuming only a knowledge of quantum field theory and general relativity. It also forms a comprehensive review, covering the range of ideas that are part of the field, from the Weak Gravity Conjecture, through compactifications of String Theory, to the de Sitter conjecture.

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“…Motivated by the earlier field theory proposals by [11,12,13], it was explicitly shown in [40] (see also the review [41]) that the resulting scalar potential takes a very peculiar form, namely it can be expressed in terms of 4D space-time filling four-forms coupled to the axions…”

Section: F-term Axion Monodromymentioning

confidence: 98%

Quantum Gravity Constraints on Large Field Inflation

Blumenhagen¹

2018

Proceedings of Corfu Summer Institute 2017 "Schools and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2017)

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Attempts to construct string derived effective field theory models realizing large field inflation are plagued by control issues. Targeted at a broader audience, in this article we review recent progress in isolating the underlying conceptual reasons for this failure. Special emphasis is given to models of axion monodromy inflation and their relation to the Swampland Distance Conjecture. This discriminates effective actions that admit a UV completion, the landscape, from those that do not, the swampland. Since they are conceptually very similar, we also comment on implied challenges for axionic quintessence models.

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Backreaction in Axion Monodromy, 4-forms and the Swampland

Cited by 6 publications

References 34 publications

Modular fluxes, elliptic genera, and weak gravity conjectures in four dimensions

Modular fluxes, elliptic genera, and weak gravity conjectures in four dimensions

The Swampland: Introduction and Review

Quantum Gravity Constraints on Large Field Inflation

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