扭曲的十一维超引力
Twisted eleven-dimensional supergravity
AI总结：
本研究构建了十一维全纯/拓扑扭曲超引力理论，验证了其微扰相互作用的一致性，证明了对称代数的结构，并为扭曲全息的全纯版本奠定基础。
摘要：
我们构建了一种定义在卡拉比-丘五重形与实一维流形乘积空间上的、具有完全相互作用的十一维全纯/拓扑理论。该理论描述了五重形上卡拉比-丘结构模空间的余切丛的一种特定形变。其场内容与后两位作者近期计算得到的十一维超引力多重态的全纯（或极小）扭曲相匹配，我们还提供了大量一致性检验，证明这些相互作用在微扰层面正确描述了有相互作用的扭曲十一维超引力。我们证明，平坦空间中我们模型的整体对称代数是无限维单例外超李代数$E(5,10)$的一个$L_\text{infinity}$中心扩张，这契合Cederwall近期在相关纯旋量模型语境下提出的猜想。超共形代数的扭曲对应于我们模型在M2或M5膜阵补集上的场，为该语境下扭曲全息的完全全纯版本奠定了基础。
英文摘要：
We construct a fully interacting holomorphic/topological theory in eleven dimensions that is defined on products of Calabi-Yau fivefolds with real one-manifolds. The theory describes a particular deformation of the cotangent bundle to the moduli space of Calabi-Yau structures on the fivefold. Its field content matches the holomorphic (or minimal) twist of the eleven-dimensional supergravity multiplet recently computed by the second two authors, and we offer numerous consistency checks showing that the interactions correctly describe interacting twisted eleven-dimensional supergravity at the perturbative level. We prove that the global symmetry algebra of our model on flat space is an $L_\infty$ central extension of the infinite-dimensional simple exceptional super Lie algebra $E(5,10)$, following a recent suggestion of Cederwall in the context of the relevant pure spinor model. Twists of superconformal algebras map to the fields of our model on the complement of a stack of M2 or M5 branes, laying the groundwork for a fully holomorphic version of twisted holography in this context.
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