Weak gravity conjecture in the asymptotical dS and AdS background

Qing-Guo Huang Interdisciplinary Center of Theoretical Studies, Academia Sinica Miao Li Institute of Theoretical Physics, Academia Sinica Wei Song Institute of Theoretical Physics, Academia Sinica

Mathematical Physics mathscidoc:1702.22042

Journal of High Energy Physics, 59, 2006.10
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 $\rho_V \leq g^2 M_p^4$ 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 $\sqrt{\alpha '}$ 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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@inproceedings{qing-guo2006weak,
  title={Weak gravity conjecture in the asymptotical dS and AdS background },
  author={Qing-Guo Huang, Miao Li, and Wei Song},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170228161848203646574},
  booktitle={ Journal of High Energy Physics},
  volume={59},
  year={2006},
}
Qing-Guo Huang, Miao Li, and Wei Song. Weak gravity conjecture in the asymptotical dS and AdS background . 2006. Vol. 59. In Journal of High Energy Physics. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170228161848203646574.
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