Holographic duality and mode stability of de Sitter space in semiclassical gravity

Abstract

We employ holographic duality to compute $⟨T_{\mu \nu }⟩$ in strongly coupled $\mathcal{N}=4$ supersymmetric Yang-Mills theory and then study evolution of the semiclassical Einstein field equations sourced by $⟨T_{\mu \nu }⟩$. Linearizing about de Sitter space, we find that the semiclassical equations of motion reduce to a four dimensional scalar wave equation coupled to a five dimensional scalar wave equation. We compute the mode spectrum of these equations and find that there exists a critical value of the Hubble constant $H_c$ for which de Sitter space is unstable when $H<H_c$ and mode stable when $H>H_c$.

11 pages, one figure, clarifications added in v2

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Cited by in corpus (3)

• Holographic Evolution with Dynamical Boundary Gravity
• De Sitter Quantum Breaking, Swampland Conjectures and Thermal Strings
• Quantum (in)stability of maximally symmetric space-times