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<p>We analyse warping corrections to the scalar potential in flux compactifications of Type IIB string theory, focusing on their effect on <i>F</i>-term de Sitter uplifting in Calabi-Yau orientifold models. A systematic inverse-volume expansion allows us to derive the four-dimensional off-shell potential in the presence of warping and non-ISD 3-form fluxes. This corresponds to integrating out all massive Kaluza-Klein modes using the ten-dimensional equations of motion. We further propose a warped Kähler potential in four-dimensional 𝒩 = 1 supergravity, and show that it is consistent with our ten-dimensional results. In the KKLT framework, we find that classical warping corrections, as well as mixed corrections involving non-ISD fluxes and quantum effects, are dominant, rendering the scenario effectively uncontrollable with current methods. By contrast, in LVS-like constructions these corrections are suppressed by inverse powers of the volume, specifically 𝒱<sup>1<i>/</i>2</sup> or 𝒱<sup>1<i>/</i>6</sup>, depending on the concrete model.</p>

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Effective potentials, warping, and implications for F-term uplifting

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月26日

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  • Arthur Hebecker,
  • Severin Lüst,
  • Andreas Schachner,
  • Simon Schreyer

摘要

We analyse warping corrections to the scalar potential in flux compactifications of Type IIB string theory, focusing on their effect on F-term de Sitter uplifting in Calabi-Yau orientifold models. A systematic inverse-volume expansion allows us to derive the four-dimensional off-shell potential in the presence of warping and non-ISD 3-form fluxes. This corresponds to integrating out all massive Kaluza-Klein modes using the ten-dimensional equations of motion. We further propose a warped Kähler potential in four-dimensional 𝒩 = 1 supergravity, and show that it is consistent with our ten-dimensional results. In the KKLT framework, we find that classical warping corrections, as well as mixed corrections involving non-ISD fluxes and quantum effects, are dominant, rendering the scenario effectively uncontrollable with current methods. By contrast, in LVS-like constructions these corrections are suppressed by inverse powers of the volume, specifically 𝒱1/2 or 𝒱1/6, depending on the concrete model.