The Weak Gravity Conjecture: A Review

Harlow, Daniel; Heidenreich, Ben; Reece, Matthew; Rudelius, Tom

doi:10.48550/arxiv.2201.08380

Cited by 46 publications

(71 citation statements)

References 277 publications

(451 reference statements)

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“…The Z k charged particles that are emitted in the evaporation process are neutral under an additional Z m gauge symmetry, where k m. The U (1) generator is in fact a linear combination of the Z k and the Z m generators. The Z m charged particles satisfy the Z m WGC and are thus heavier, in a natural realization of a sublattice WGC [32]. Reference [18] then took the natural next step and contemplated the same conditions for higher-form gauge symmetries under which extended objects can have both Z k and U (1)-charges.…”

Section: Z K Weak Coupling and Refined Ads Distance Conjecturementioning

confidence: 99%

Comments on classical AdS flux vacua with scale separation

Apers,

Montero,

Van Riet

et al. 2022

Preprint

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AdS flux vacua with a parametric separation between the AdS and KK scales have been conjectured to be in the Swampland. We study flux compactifications of massive IIA supergravity with O6 planes which are claimed to allow moduli-stabilised and scale separated AdS 3 and AdS 4 vacua at arbitrary weak coupling and large volume. A recent refinement of the AdS Distance Conjecture is shown to be inconsistent with this class of AdS 3 vacua because the requisite discrete higher form symmetries are absent. We further perform a tree-level study of non-perturbative decays for the nonsupersymmetric versions of the AdS 3 solutions, and find that the vacua are stable within this approximation. Finally, we provide an initial investigation of the would-be dual CFT 2 s and CFT 3 s. We study roughly a dozen different models and find for all AdS 4 DGKT-type vacua that the dual operators to the lightest scalars have integer dimensions. For the putative CFT 2 dual theories of the AdS 3 vacua we find no integer dimensions for the operators.

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Section: Z K Weak Coupling and Refined Ads Distance Conjecturementioning

confidence: 99%

Comments on classical AdS flux vacua with scale separation

Apers,

Montero,

Van Riet

et al. 2022

Preprint

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show abstract

“…The distance conjecture holds that an infinite tower of states must become exponentially light at large distances in moduli space [5]. Reviews of these conjectures may be found in [6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

“…Similarly, the axion weak gravity conjecture has been verified by examples in [36][37][38][39][40][41][42][43][44][45][46], while the distance conjecture has been discussed in [47][48][49][50], among other works. For further discussion see the recent review [10].…”

Section: Introductionmentioning

confidence: 99%

Generalized Symmetry Breaking Scales and Weak Gravity Conjectures

Córdova¹,

Ohmori²,

Rudelius³

2022

Preprint

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We explore the notion of approximate global symmetries in quantum field theory and quantum gravity. We show that a variety of conjectures about quantum gravity, including the weak gravity conjecture, the distance conjecture, and the magnetic and axion versions of the weak gravity conjecture can be motivated by the assumption that generalized global symmetries should be strongly broken within the context of low-energy effective field theory, i.e. at a characteristic scale less than the Planck scale where quantum gravity effects become important. For example, the assumption that the electric one-form symmetry of Maxwell theory should be strongly broken below the Planck scale implies the weak gravity conjecture. Similarly, the violation of generalized non-invertible symmetries is closely tied to analogs of this conjecture for non-abelian gauge theory. This reasoning enables us to unify these conjectures with the absence of global symmetries in quantum gravity.

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“…It will be interesting to test the other theories, 46,47 and to exploit the condensed matter systems, where there are different types of emergent gravity (acoustic, 48,49 from Weyl point, 8 from bilinear combinations of the fermionic fields, 41 etc. ), and different types of event horizons can be simulated.…”

Section: Discussionmentioning

confidence: 99%

Negative Newton constant may destroy some conjectures

Volovik

2022

Preprint

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The magnitude and sign of the gravitational coupling 1/G depend on the relations between different contributions from scalar, fermionic and vector fields. In principle, this may give the zero and negative values of 1/G in some hypothetical Universes with the proper relations between the fermionic and bosonic species. We consider different conjectures related to gravity, such as the wave function collapse caused by gravity, entropic gravity, and maximum force. We find that some of them do not work in the Universes with zero or negative 1/G, and thus cannot be considered as universal. Thus the extension of the gravitational coupling to 1/G ≤ 0 provides the test on the universality of the proposed theories of gravity.

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The Weak Gravity Conjecture: A Review

Cited by 46 publications

References 277 publications

Comments on classical AdS flux vacua with scale separation

Comments on classical AdS flux vacua with scale separation

Generalized Symmetry Breaking Scales and Weak Gravity Conjectures

Negative Newton constant may destroy some conjectures

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