A dynamical aspect of quantum gravity on de Sitter spacetime is investigated by holography or the dS/CFT correspondence. We show that de Sitter spacetime emerges from a free Sp(N) vector model by complexifying the ghost fields and flowing them in parallel to the imaginary axis. We confirm that the emergence of de Sitter spacetime is ensured by conformal symmetry. We also compute the quantum corrections to the cosmological constant up to the next-to-leading order of the 1/N expansion in a proposed holographic approach. As a result the sub-leading corrections have the opposite sign to the classical value.This implies that a quantum gravity on de Sitter spacetime is perturbatively stable and quantum effects make the universe flatter and the cosmological constant smaller.

中文翻译：

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对宇宙常数的全息德西特时空和量子校正

通过全息术或 dS/CFT 对应关系研究了德西特时空上量子引力的动力学方面。我们展示了德西特时空是从自由 Sp(N) 矢量模型中产生的，方法是将鬼场复化并使它们平行于虚轴流动。我们确认德西特时空的出现是由共形对称性确保的。我们还计算了对宇宙常数的量子校正，直到提出的全息方法中 1/N 扩展的次先导阶。因此，次超前修正与经典值具有相反的符号。这意味着德西特时空上的量子引力是微扰稳定的，量子效应使宇宙更平坦，宇宙常数更小。