dS/CFT Correspondence from a Defect Operator

Xing Huang; Chen-Te Ma

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arXiv · 2512.11759

dS/CFT Correspondence from a Defect Operator

Xing Huang·Chen-Te Ma

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Abstract

We perform a Wick rotation and analytic continuation from global AdS$_{d+1}$ to static dS$_{d+1}$, yielding CFT$_d$ generators with a nonstandard adjoint action tied to dS bulk coordinates. To reproduce the real-scalar two-point function, we introduce a global defect operator that twists the inner product. We further show that $PT$ symmetry is spontaneously broken in CFT$_2$ vacua with a central charge having an imaginary part. Finally, we derive integral identities for bulk and defect correlators, providing a unified framework for computing CFT$_d$ observables in the presence of global and local defects.

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Xing Huang, Chen-Te Ma. 2025-12-12. dS/CFT Correspondence from a Defect Operator. https://arxiv.org/abs/2512.11759

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