Vacuum Ambiguity in de Sitter Space at Strong Coupling

Details Vacuum Ambiguity in de Sitter Space at Strong Coupling Vacuum Ambiguity in de Sitter Space at Strong Coupling

2009-10-28

arxiv.org/abs/0910.5509v3

JHEP 1002:026,2010

Physics

High Energy Physics

High Energy Physics - Theory

17 pages in JHEP style, references added

Scientific paper

10.1007/JHEP02(2010)026

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 ${\cal N}=4$ supersymmetric Yang-Mills theory on $dS_3$. We find that there is a class of de Sitter invariant vacua, parametrized by a set of complex parameters $\{\alpha_{\nu}\}$.

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