Weak gravity conjecture in the asymptotical dS and AdS background

Abstract

The cosmological observations provide a strong evidence that there is a positive cosmological constant in our universe and thus the spacetime is asymptotical de Sitter space. The conjecture of gravity as the weakest force in the asymptotical dS space leads to a lower bound on the U(1) gauge coupling $g$, or equivalently, the positive cosmological constant gets an upper bound ${\rho }_V\le g^2{M}_p^4$ in order that the U(1) gauge theory can survive in four dimensions. This result has a simple explanation in string theory, i.e. the string scale $\sqrt{{\alpha }^{\prime }}$ should not be greater than the size of the cosmic horizon. Our proposal in string theory can be generalized to U(N) gauge theory and gives a guideline to the microscopic explanation of the de Sitter entropy. The similar results are also obtained in the asymptotical anti-de Sitter space.

4 pages; version for publication in JHEP (title changed)

References in corpus (5)

• Large N Field Theories, String Theory and Gravity
• de Sitter Vacua in String Theory
• Hierarchies from Fluxes in String Compactifications
• A Framework for the Landscape
• Some Low Dimensional Evidence for the Weak Gravity Conjecture

Cited by in corpus (30)

• Higher-order corrections to mass-charge relation of extremal black holes
• Weak Gravity Conjecture in AdS/CFT
• Theoretical Limits on the Equation-of-State Parameter of Phantom Cosmology
• The FL bound and its phenomenological implications
• Possible theoretical limits on holographic quintessence from weak gravity conjecture
• Constraints on the spectral index for the inflation models in string landscape
• Weak gravity versus de Sitter
• A Weak Gravity Conjecture for Scalar Field Theories
• The unbearable lightness of charged gravitini
• Weak gravity conjecture constraints on inflation
• Weak Gravity Conjecture in de Sitter space-time
• Constraining the interacting dark energy models from weak gravity conjecture and recent observations
• Theoretical Limits on Agegraphic Quintessence from Weak Gravity Conjecture
• Quantum gravity constraints on scale separation and de Sitter in five dimensions
• Discrete Gauge Symmetries and the Weak Gravity Conjecture
• Eternal Chaotic Inflation is Prohibited by Weak Gravity Conjecture
• Weak Gravity Conjecture for Noncommutative Field Theory
• Weak Gravity Conjecture for the Effective Field Theories with N Species
• Gravitational Correction and Weak Gravity Conjecture
• de Sitter Bubbles and the Swampland
• Bootstrap bound on extremal Reissner-Nordström black hole in AdS
• Dilatonic (Anti-)de Sitter Black Holes and Weak Gravity Conjecture
• Black Hole Extremality in Nonlinear Electrodynamics: A Lesson for Weak Gravity and Festina Lente Bounds
• Characters, quasinormal modes, and Schwinger pairs in $d{S}_2$ with flux
• Weak Gravity Conjecture with Large Extra Dimensions
• Extremal Bifurcations of Rotating AdS${}_4$ Black Holes
• Implication of the swampland distance conjecture on the Cohen-Kaplan-Nelson bound in de Sitter space
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Could LIV/noncommutativity alleviate the cosmological constant problem
• De Sitter space constraints on brane tensions and couplings