String Tension between de Sitter vacua and Curvature Corrections

Abstract

Higher-derivative corrections to cosmological effective actions in string theory are largely constrained by T-duality, but have been computed hitherto only to the first few orders in the string scale ${\alpha }^{\prime }$. The functional renormalization group, in conjunction with the strong constraints imposed by T-duality, allows to derive cosmological effective actions to all orders in ${\alpha }^{\prime }$ while avoiding "truncations" of the theory space. We show that the resulting higher-derivative ${\alpha }^{\prime }$-corrections forbid the existence of de Sitter vacua, at least in regimes where string-loop corrections can be neglected. Our findings thus support the implications of the no-de Sitter swampland conjecture in the presence of all-order effects in ${\alpha }^{\prime }$.

6 pages, 2 figures. V2: matches published version

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