Vacuum Ambiguity in de Sitter Space at Strong Coupling

TL;DR

This paper investigates the vacuum ambiguity in de Sitter space at strong coupling using gauge/gravity duality, revealing a family of de Sitter invariant vacua parametrized by complex parameters.

Contribution

It extends the understanding of vacuum structures in de Sitter space to strongly coupled theories via holography, identifying a new class of invariant vacua.

Findings

Identifies a family of de Sitter invariant vacua at strong coupling.

Calculates the symmetric two-point function for strongly coupled ${ m N}=4$ SYM.

Shows the existence of complex parameterized vacua in the strong coupling regime.

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 ${\cal N}=4$ 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 $\{\alpha_{\nu}\}$.