I agree with your comment, but isn’t it “thin red line”? Or am I thinking of something else?
Metaphorically, it's the bubble-skin that separates internal order from external chaos.
I would add that red lines are topical with Brexit[2] negotiations in the media, lines beyond which this British government is unwilling to step.
[0] Movie https://en.wikipedia.org/wiki/The_Thin_Blue_Line_(1988_film) and TV show https://en.wikipedia.org/wiki/The_Thin_Blue_Line_(TV_series)
[1] https://en.wikipedia.org/wiki/The_Thin_Red_Line_(1998_film) – one of the best films about war ever in my opinion
[2] https://www.theguardian.com/commentisfree/2017/dec/05/theres...