超越最小A型的德西特空间高自旋dS/CFT，以及德西特空间的双重性质
Higher-Spin dS/CFT beyond minimal type-A, and the doubled nature of de Sitter space
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中文总结 AI 辅助
该研究扩展了德西特空间的高自旋dS/CFT对偶，引入新实条件实现A型到B型的延伸，从两种视角阐释A型与B型的关系，揭示德西特空间的双重性质。
中文摘要 AI 辅助
我们研究4维德西特空间中自由矢量模型与高自旋引力之间的全息对偶。在体侧和边界侧，我们引入新的实条件，这使我们能在体中包含奇自旋，并将对偶从A型（即边界标量）扩展到B型（即边界旋量）。这些新的实条件与德西特空间中单粒子（超）多重态的高自旋对称希尔伯特空间范数密切相关。我们对A型和B型理论构建了两种不同视角：一种视角中，两者共存于“平行宇宙”中，具体是德西特空间的偶与奇对跖等价；另一种视角中，A型和B型是欧氏AdS中同一扭量空间理论的勒让德变换描述（这涉及到高自旋配分函数与其自身勒让德对偶的观察）。通过这种方式，高自旋全息学调和了德西特空间的双边界性质与欧氏AdS的单边界性质。将A型、B型与体费米子统一起来的超对称理论，在相应实条件下无法保持一致性。
英文摘要
We study the holographic duality between free vector models and Higher-Spin Gravity in 4-dimensional de Sitter space. On both the bulk and boundary sides, we introduce new reality conditions, which allow us to include odd spins in the bulk, and to extend the duality from type-A to type-B (i.e. from boundary scalars to spinors). The new reality conditions are closely related to a higher-spin-symmetric Hilbert-space norm for the single-particle (super)multiplet in de Sitter space. We construct two alternative viewpoints on the type-A and type-B theories. In one view, the two co-exist in "parallel universes", specifically in even vs. odd antipodal identifications of de Sitter space. In the other view, type-A and type-B are Legendre-transformed descriptions of the same twistor-space theory in Euclidean AdS (this involves the observation that the higher-spin partition function is Legendre-dual to itself). In this way, higher-spin holography reconciles the two-boundary nature of de Sitter space with the one-boundary nature of Euclidean AdS. The supersymmetric theory that unifies type-A and type-B with bulk fermions fails to be consistent under the appropriate reality conditions.
发表机构
- Okinawa Institute of Science and Technology（冲绳科学技术大学院大学）
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