The weak gravity conjecture and scalar fields

Palti, Eran

doi:10.1007/jhep08(2017)034

Cited by 217 publications

(382 citation statements)

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“…21 One can continue this logic by deducing that the corresponding scalar field responsible for quintessence should interact strongly with the dark sector. This is because an extension of the WGC [89] would suggest that the scalar field has to couple stronger than gravity to some matter fields and we already know, by lack of violation of the equivalence principle in the visible matter sector, that this should be in the dark sector. It would be interesting to find evidence for such a picture by finding apparent violation of equivalence principle in the dark sector due to the force generated by this scalar.…”

Section: Pos(tasi2017)015mentioning

confidence: 99%

The String Landscape, the Swampland, and the Missing Corner

Vafa¹,

Brennan²,

Carta³

2018

Proceedings of Theoretical Advanced Study Institute Summer School 2017 "Physics at the Fundamental Frontier" — PoS(TASI2017)

142

209

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We give a brief overview of the string landscape and techniques used to construct string compactifications. We then explain how this motivates the notion of the swampland and review a number of conjectures that attempt to characterize theories in the swampland. We also compare holography in the context of superstrings with the similar, but much simpler case of topological string theory. For topological strings, there is a direct definition of topological gravity based on a sum over a "quantum gravitational foam." In this context, holography is the statement of an identification between a gravity and gauge theory, both of which are defined independently of one another. This points to a missing corner in string dualities which suggests the search for a direct definition of quantum theory of gravity rather than relying on its strongly coupled holographic dual as an adequate substitute (Based on TASI 2017 lectures given by C. Vafa). Theoretical Advanced Study Institute in Elementary PoS(TASI2017)015The String Landscape, the Swampland, and the Missing Corner Cumrun VafaThese lecture notes from TASI 2017 give a brief overview of some of the open problems in string theory. We will be generally motivated by the philosophy that string theory is ultimately supposed to describe the fundamental laws of our universe. String theory is so versatile that it can be used to study a wide array of physical problems such as various topics in condensed matter and quark-gluon plasma or aspects of quantum fields theories in diverse dimensions. Much of the recent work using string theory has been focused on using its properties to solve specific problems rather than developing our understanding of string theory as a fundamental description of our universe. Here we aim to discuss topics which we hope will be useful in bringing string theory closer to observable aspects of fundamental physics.With this philosophy in mind, we will begin these lectures by reviewing some of what we know about string theory and its possible application to the universe by describing some generalities about the space of low energy theories theories coming from string theory compactifications: this is called the "string landscape." Supersymmetry plays a key organizing principle in this context. This will naturally lead us to investigate the question of how we know a priori if a low energy theory is in the landscape or it is not. The set of low energy physics models which look consistent but ultimately are not when coupled to gravity, is called the "swampland." Finding simple criteria to distinguish the swampland from the landscape is of great importance. In particular such criteria can lead to concrete predictions for our universe as we will discuss later. We review a number of conjectures which are aimed at distinguishing the swampland from the landscape.The string landscape and the swampland will be the topic of the first two lectures. In the third lecture, which is on a somewhat disjoint topic, we review critically where we are in our current understanding o...

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Section: Pos(tasi2017)015mentioning

confidence: 99%

The String Landscape, the Swampland, and the Missing Corner

Vafa¹,

Brennan²,

Carta³

2018

Proceedings of Theoretical Advanced Study Institute Summer School 2017 "Physics at the Fundamental Frontier" — PoS(TASI2017)

142

209

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“…To summarize, we need to solve 26) in order to obtain the 2d spacetime independent solution of T 2 compactification. The curvature of 2d is determined by R (2) M 2 P /2 − ∂ ρ V = 0, namely, ∂ ρ V > 0, ∂ ρ V = 0 and ∂ ρ V < 0 correspond to dS 2 , M 2 and AdS 2 , respectively.…”

Section: Jhep11(2017)043mentioning

confidence: 99%

“…First of all, our analysis may lend insights to the weak gravity conjecture [11], see also refs. [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26] for some recent studies. A proposed criterion for a low energy theory to be ultraviolet complete with quantum gravity is that it should be…”

Section: Jhep11(2017)043 1 Introductionmentioning

confidence: 99%

Weak gravity conjecture, multiple point principle and the standard model landscape

Hamada

Shiu

2017

J. High Energ. Phys.

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Abstract:The requirement for an ultraviolet completable theory to be well-behaved upon compactification has been suggested as a guiding principle for distinguishing the landscape from the swampland. Motivated by the weak gravity conjecture and the multiple point principle, we investigate the vacuum structure of the standard model compactified on S 1 and T 2 . The measured value of the Higgs mass implies, in addition to the electroweak vacuum, the existence of a new vacuum where the Higgs field value is around the Planck scale. We explore two-and three-dimensional critical points of the moduli potential arising from compactifications of the electroweak vacuum as well as this high scale vacuum, in the presence of Majorana/Dirac neutrinos and/or axions. We point out potential sources of instability for these lower dimensional critical points in the standard model landscape. We also point out that a high scale AdS 4 vacuum of the Standard Model, if exists, would be at odd with the conjecture that all non-supersymmetric AdS vacua are unstable. We argue that, if we require a degeneracy between three-and four-dimensional vacua as suggested by the multiple point principle, the neutrinos are predicted to be Dirac, with the mass of the lightest neutrino ≈ O(1-10) meV, which may be tested by future CMB, large scale structure and 21cm line observations.

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“…An interesting generalization of the WGC is its application to forces mediated by light scalar fields and one can find various proposals in the literature [4]- [14]. The first formulation of a version of the WGC to scalar fields is due to Palti [4], who considered particles whose masses m depend on some light scalar φ by means of trilinear couplings ∂ φ m. In this case the conjecture states that (∂ φ m) 2 ≥ m 2 /M 2 P , so that the force mediated by φ is stronger than the gravitational force.…”

Section: Introductionmentioning

confidence: 99%

Covariant formulation of BPS black holes and the scalar weak gravity conjecture

Dall’Agata

Morittu

2020

J. High Energ. Phys.

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In this note we analyze the BPS black hole equations in extended supergravities and we find two interesting relations involving first and second derivatives of combinations of the central charges. One relation is a new identity that solely relies on the geometric properties of the scalar manifolds of extended supergravity theories. The other relation is a generalization of a scalar weak gravity conjecture relation conjectured by Palti and uses properties of the underlying black hole solution. We also provide for the first time an explicit covariant construction of the BPS squared action for such solutions.

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The weak gravity conjecture and scalar fields

Cited by 217 publications

References 50 publications

The String Landscape, the Swampland, and the Missing Corner

The String Landscape, the Swampland, and the Missing Corner

Weak gravity conjecture, multiple point principle and the standard model landscape

Covariant formulation of BPS black holes and the scalar weak gravity conjecture

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