Vacuum Ambiguity in de Sitter Space at Strong Coupling

Abstract

It is well known that in the weak coupling regime, quantum field theories in de Sitter space do not have a unique vacuum, but a class of vacua parametrized by a complex parameter $\alpha$, i.e., the so-called $\alpha$-vacua. In this article, using gauge/gravity duality, we calculate the symmetric two-point function of strongly coupled $\mathcal{N}=4$ supersymmetric Yang-Mills theory on $d{S}_3$. We find that there is a class of de Sitter invariant vacua, parametrized by a set of complex parameters $\{{\alpha }_{\nu }\}$.

17 pages in JHEP style, references added

References in corpus (5)

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Cited by in corpus (3)

• Holographic models of de Sitter QFTs
• De Sitter-invariant States from Holography
• Time-dependent Backgrounds in String Theory and Dualities