On the weak gravity conjecture in string theory with broken supersymmetry

Bonnefoy, Quentin; Dudas, Emilian; Lüst, Severin

doi:10.1016/j.nuclphysb.2019.114738

Cited by 26 publications

(19 citation statements)

References 114 publications

(140 reference statements)

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“…While most of the explicit tests of the Weak Gravity Conjecture in string theory have been performed with some supersymmetry preserved at the string or Kaluza‐Klein scale, some settings with a high scale of supersymmetry breaking were studied in the context of type I string theory in []. There it was argued that the Weak Gravity Conjecture may be violated at tree‐level, but loop corrections take the form such that it is respected at the quantum level provided the string coupling is not too small.…”

Section: Swampland Tests In String Theorymentioning

confidence: 99%

The Swampland: Introduction and Review

Palti

2019

Fortschritte der Physik

898

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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Section: Swampland Tests In String Theorymentioning

confidence: 99%

The Swampland: Introduction and Review

Palti

2019

Fortschritte der Physik

898

1,097

View full text Add to dashboard Cite

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“…The same analysis would apply to GUT's, although inflation is usually taken to happen after GUT breaking to avoid a monopole problem[136,137] 26. We thank Prateek Agrawal for illuminating discussions.…”

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confidence: 97%

Festina lente:1 EFT constraints from charged black hole evaporation in de Sitter

Montero

Riet

Venken

2020

J. High Energ. Phys.

162

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In the Swampland philosophy of constraining EFTs from black hole mechanics we study charged black hole evaporation in de Sitter space. We establish how the black hole mass and charge change over time due to both Hawking radiation and Schwinger pair production as a function of the masses and charges of the elementary particles in the theory. We find a lower bound on the mass of charged particles by demanding that large charged black holes evaporate back to empty de Sitter space, in accordance with the thermal picture of the de Sitter static patch. This bound is satisfied by the charged spectrum of the Standard Model. We discuss phenomenological implications for the cosmological hierarchy problem and inflation. Enforcing the thermal picture also leads to a heuristic remnant argument for the Weak Gravity Conjecture in de Sitter space, where the usual kinematic arguments do not work. We also comment on a possible relation between WGC and universal bounds on equilibration times. All in all, charged black holes in de Sitter should make haste to evaporate, but they should not rush it 2 .

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“…The vanishing photon mass prediction mentioned above involves the WGC as well.All of this makes the WGC one of the most interesting Swampland constraints, but why should it be true? On top of the fact that it seems to be satisfied in string compactifications, sometimes in very nontrivial ways [84][85][86], there is a heuristic argument that extremal black holes should be unstable [46,87]. Otherwise, one could take the g → 0 limit at finite M P , leading to a theory with a global symmetry in quantum gravity, which is illegal [44,45].…”

mentioning

confidence: 99%

A holographic derivation of the weak gravity conjecture

Montero

2019

J. High Energ. Phys.

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The Weak Gravity Conjecture (WGC) demands the existence of superextremal particles in any consistent quantum theory of gravity. The standard lore is that these particles are introduced to ensure that extremal black holes are either unstable or marginally stable, but it is not clear what is wrong if this doesn't happen. This note shows that, for a generic Einstein quantum theory of gravity in AdS, exactly stability of extremal black branes is in tension with rigorously proven quantum information theorems about entanglement entropy. Avoiding the contradiction leads to a nonperturbative version of the WGC, which reduces to the usual statement at weak coupling. The argument is general, and it does not rely on either supersymmetry or a particular UV completion, assuming only the validity of Einsteinian gravity, effective field theory, and holography. The pathology is related to the development of an infinite throat in the near-horizon region of the extremal solutions, which suggests a connection to the ER=EPR proposal.So far, there is a healthy number of proposed Swampland criteria. Among these, one may count the Swampland Distance Conjecture [4], the Chern-Simons Pandemic [5], or the recent conjecture on the scalar potential [6,7], which leads to the dramatic (and debated [8-30]) conclusion that there are no de Sitter vacua in string theory (this has been suspected long before [6,31]; see [32] for a thorough review of the stringy arguments against de Sitter,and [33] for arguments supporting the conjecture). Most of these remain conjectures primarily supported by a large variety of stringy examples.There are few cases where more solid arguments can be given: Absence of continuous spin representations can be rigorously proven in string theory [34], and there are also heuristic arguments supporting it [35]. The absence of global symmetries in quantum gravity [36][37][38][39] is very well supported by both heuristics [40], worldsheet [41] and holographic [42-45] arguments.One of the most far-reaching Swampland constraints is the Weak Gravity Conjecture (WGC) [46]. In its original form, it says that in any effective field theory with gauge fields consistently coupled to Einsteinian gravity, there should be a state whose charge-to-mass ratio is equal to or larger than that of an extremal black hole. This has the effect of rendering the black hole unstable via Schwinger pair production of charged particles. This is only the mildest form of the conjecture. There are several more refined and constraining versions, such as a version applying to axions and other p-form fields, the Convex Hull Condition [47], Lattice and Tower WGC [48, 49], scalar versions of the conjecture [50-53] (leading to a connection to the Distance Conjecture and emergence [54-57]), and a variant leading to the instability of nonsupersymmetric AdS space [58, 59] (and to proposed constraints on the Standard Model [60-63]).Variants of the WGC have also been argued to constrain axion models of inflation or relaxation [48,58,[64][65][66][67][68][69][70][71][7...

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On the weak gravity conjecture in string theory with broken supersymmetry

Cited by 26 publications

References 114 publications

The Swampland: Introduction and Review

The Swampland: Introduction and Review

Festina lente:1 EFT constraints from charged black hole evaporation in de Sitter

A holographic derivation of the weak gravity conjecture

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