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Weak gravity conjecture in the asymptotical dS and AdS background

Qing-Guo Huang·Miao Li·Wei Song
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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 $ρ_V \leq g^2 M_p^4$ 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 $\sqrt{α'}$ 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.

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Qing-Guo Huang, Miao Li, Wei Song. 2006-10-02. Weak gravity conjecture in the asymptotical dS and AdS background. https://doi.org/10.1088/1126-6708%2F2006%2F10%2F059

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