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<p>Non-geometric flux vacua have recently been revisited, leading to the remarkable discovery of isolated 4D <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N} \)</EquationSource> </InlineEquation> = 1 supersymmetric Minkowski vacua. These constructions rely on the non-renormalization of the superpotential, which is supported by heuristic arguments. Given the significance of verifying the existence of these isolated M-theory-like vacua, we present alternative symmetry-based arguments that arrive at the same conclusion. Additionally, we leverage these symmetries to argue for the existence of unstable dS solutions as well as supersymmetric AdS solutions.</p>

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Symmetries and M-theory-like vacua in four dimensions

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月25日

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  • Shi Chen,
  • Damian van de Heisteeg,
  • Cumrun Vafa

摘要

Non-geometric flux vacua have recently been revisited, leading to the remarkable discovery of isolated 4D N \( \mathcal{N} \) = 1 supersymmetric Minkowski vacua. These constructions rely on the non-renormalization of the superpotential, which is supported by heuristic arguments. Given the significance of verifying the existence of these isolated M-theory-like vacua, we present alternative symmetry-based arguments that arrive at the same conclusion. Additionally, we leverage these symmetries to argue for the existence of unstable dS solutions as well as supersymmetric AdS solutions.