Stability of BPS states and weak coupling limits

Palti, Eran

doi:10.1007/jhep08(2021)091

Cited by 23 publications

(20 citation statements)

References 59 publications

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“…From the point of view of M-theory on the degenerating space, we therefore expect one or two towers of asymptotically massless states from M2-branes wrapped an arbitrary number of times along these vanishing cycles. This parallels the situation for Type IIB compactifications on Calabi-Yau threefolds, where towers of states appear from wrapped D3-branes along asymptotically vanishing 3-cycles, as in [20,[28][29][30][31]. However, it turns out that these states form in general only part of the asymptotically light towers.…”

Section: Jhep06(2022)042supporting

confidence: 55%

“…By contrast, an explicit confirmation or falsification of the Emergent String Conjecture in the complex structure moduli space of string compactifications has so far proven to be very difficult. In [20,[28][29][30][31] the Swampland Distance Conjecture as such has been quantitatively confirmed for Type IIB compactifications near the asymptotic boundary of complex structure moduli space, by arguing for the appearance of a tower of BPS states from D3-branes wrapping asymptotically vanishing 3-cycles. The mathematical structure of the boundaries of complex structure moduli spaces has been scrutinised from the point of view of asymptotic Hodge theory in a series of further works [32][33][34].…”

Section: Introductionmentioning

confidence: 86%

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Physics of infinite complex structure limits in eight dimensions

Lee

Lerche

Weigand

2022

J. High Energ. Phys.

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We investigate infinite distance limits in the complex structure moduli space of F-theory compactified on K3 to eight dimensions. While this is among the simplest possible arenas to test ideas about the Swampland Distance Conjecture, it is nevertheless non-trivial enough to improve our understanding of the physics for these limiting geometries, including phenomena of emergence. It also provides a perspective on infinite distance limits from the viewpoint of open strings. The paper has two quite independent themes. In the main part we show that all degenerations of elliptic K3 surfaces at infinite distance as analysed in the companion paper [1] can be interpreted as (partial) decompactification or emergent string limits in F-theory, in agreement with the Emergent String Conjecture. We present a unified geometric picture of the possible towers of states that can become light and illustrate our general claims via the connection between Kulikov models of degenerating K3 surfaces and the dual heterotic string. As an application we classify the possible maximal non-abelian Lie algebras and their Kac-Moody and loop extensions that can arise in the infinite distance limits. In the second part we discuss the infinite distance behaviour of certain exact quartic gauge couplings. We encounter a tension with the hypothesis that effective couplings should be fully generated by integrating out massive states. We show that by appropriately renormalizing the string coupling, at least partial emergence can be achieved.

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Section: Jhep06(2022)042supporting

confidence: 55%

Section: Introductionmentioning

confidence: 86%

Physics of infinite complex structure limits in eight dimensions

Lee

Lerche

Weigand

2022

J. High Energ. Phys.

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“…In the following we formulate these main findings in a general setting, and in sections 3.1 and 3.2 we discuss them in practice for two explicit examples. For closely related applications of these asymptotic Hodge theory techniques in the context of string compactifications we refer the reader to [22,[27][28][29][30][31][32][33][34][35][36][37][38][39][40][41].…”

Section: Near-boundary Asymptotics and Exponential Correctionsmentioning

confidence: 99%

Engineering Small Flux Superpotentials and Mass Hierarchies

Bastian¹,

Grimm²,

Heisteeg³

2021

Preprint

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We study the stabilization of complex structure moduli in Type IIB flux compactifications by using recent general results about the form of the superpotential and Kähler potential near the boundaries of the moduli space. In this process we show how vacua with an exponentially small vacuum superpotential can be realized systematically and understood conceptually within asymptotic Hodge theory. We distinguish two types of vacua realizing such superpotentials that differ by the mass scales of the stabilized moduli. Masses polynomially depending on the moduli arise if the superpotential contains exponential corrections whose existence is required to ensure the non-degeneracy of the moduli space metric. We use the fact that such essential corrections are controlled by asymptotic Hodge theory and have recently been constructed for all one-and two-moduli asymptotic regimes. These insights allow us to obtain new vacua near boundaries in complex structure moduli space that include Seiberg-Witten points. In these examples we find that the scale of the vacuum superpotential can be bounded from below through the exponential of the negative D3-brane tadpole.

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“…Our approach relies on techniques coming from asymptotic Hodge theory, originally developed in the mathematical works [6,30]. For applications of the underlying technology in the swampland program we refer to [4,7,29,[31][32][33][34][35][36][37][38][39][40][41][42][43][44][45].…”

Section: Hodge-star Operatormentioning

confidence: 99%

Moduli Stabilization in Asymptotic Flux Compactifications

Grimm,

Plauschinn,

van de Heisteeg

2021

Preprint

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We present a novel strategy to systematically study complex-structure moduli stabilization in Type IIB and F-theory flux compactifications. In particular, we determine vacua in any asymptotic regime of the complex-structure moduli space by exploiting powerful tools of asymptotic Hodge theory. In a leading approximation the moduli dependence of the vacuum conditions are shown to be polynomial with a dependence given by sl(2)-weights of the fluxes. This simple algebraic dependence can be extracted in any asymptotic regime, even though in nearly all asymptotic regimes essential exponential corrections have to be present for consistency. We give a pedagogical introduction to the sl(2)-approximation as well as a detailed step-by-step procedure for constructing the corresponding Hodge star operator. To exemplify the construction, we present a detailed analysis of several Calabi-Yau three-and fourfold examples. For these examples we illustrate that the vacua in the sl(2)-approximation match the vacua obtained with all polynomial and essential exponential corrections rather well, and we determine the behaviour of the tadpole contribution of the fluxes. Finally, we discuss the structure of vacuum loci and their relations to several swampland conjectures.In particular, we comment on the realization of the so-called linear scenario in view of the tadpole conjecture.

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Stability of BPS states and weak coupling limits

Cited by 23 publications

References 59 publications

Physics of infinite complex structure limits in eight dimensions

Physics of infinite complex structure limits in eight dimensions

Engineering Small Flux Superpotentials and Mass Hierarchies

Moduli Stabilization in Asymptotic Flux Compactifications

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