We employ gauge-gravity duality to study the backreaction effect of 4-dimensional large-$N$ quantum field theories on constant-curvature backgrounds, and in particular de Sitter space-time. The field theories considered are holographic QFTs, dual to RG flows between UV and IR CFTs. We compute the holographic QFT contribution to the gravitational effective action for 4d Einstein manifold backgrounds. We find that for a given value of the cosmological constant $\lambda$, there generically exist two backreacted constant-curvature solutions, as long as $\lambda < \lambda_{\textrm{max}} \sim M_p^2 / N^2$, otherwise no such solutions exist. Moreover, the backreaction effect interpolates between that of the UV and IR CFTs. We also find that, at finite cutoff, a holographic theory always reduces the bare cosmological constant, and this is the consequence of thermodynamic properties of the partition function of holographic QFTs on de Sitter.

中文翻译：

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无质量 de Sitter QFT 中的反向反应：全息、引力 DBI 作用和 f(R) 引力

我们采用规范重力对偶性来研究 4 维大 $N$ 量子场论对恒定曲率背景，特别是德西特时空的反向反应效应。所考虑的场理论是全息 QFT，UV 和 IR CFT 之间的双到 RG 流。我们计算全息 QFT 对 4d 爱因斯坦流形背景的引力有效作用的贡献。我们发现，对于给定的宇宙常数 $\lambda$，一般存在两个反向反应的恒定曲率解，只要 $\lambda < \lambda_{\textrm{max}} \sim M_p^2 / N^ 2$，否则不存在这样的解决方案。此外，反向反应效应介于 UV 和 IR CFT 之间。我们还发现，在有限截止处，全息理论总是减少裸宇宙常数，