Abstract
We analyze the de Sitter construction of [1] using ten-dimensional supergravity, finding exact agreement with the four-dimensional effective theory. Starting from the fermionic couplings in the D7-brane action, we derive the ten-dimensional stress-energy due to gaugino condensation on D7-branes. We demonstrate that upon including this stress-energy, as well as that due to anti-D3-branes, the ten-dimensional equations of motion require the four-dimensional curvature to take precisely the value determined by the four-dimensional effective theory of [1].
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Kachru, S., Kim, M., McAllister, L. et al. de Sitter vacua from ten dimensions. J. High Energ. Phys. 2021, 111 (2021). https://doi.org/10.1007/JHEP12(2021)111
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DOI: https://doi.org/10.1007/JHEP12(2021)111