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We revisit the effective low-energy dynamics of the volume modulus in warped flux compactifications with anti-D3-branes in order to analyze the prospects for meta-stable de Sitter vacua and brane inflation along the lines of KKLT/KKLMMT.
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This corrects a small mistake in the argument of Gautason et al. 2013 , where α ( y 0 ) \alpha(y_{0}) was found to be negative . The reason for the disagreement is that, contrary to an assumption in Gautason et al. 2013 , V np < 0 V_{\textrm{np}}<0 does not imply Λ np < 0 \Lambda_{\textrm{np}}<0 but rather Λ np − 3 8 ⟨ ρ ⟩ V np ′ ( ⟨ ρ ⟩ ) = Λ np − 3 4 p T 3 α ( y 0 ) / ⟨ ρ ⟩ < 0 \Lambda_{\textrm{np}}-\frac{3}{8}\langle\rho\rangle V^{\prime}_{\textrm{np}}(\langle\rho\rangle)=\Lambda_{\textrm{np}}-\frac{3}{4}pT_{3}\alpha(y_{0})/\langle\rho\rangle<0 . The main conclusion α ( y 0 ) ≠ 0 \alpha(y_{0})\not=0 , which was argued in Gautason et al. 2013 to lead to a flux singularity, is unaffected by this subtlety
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