The correct spelling of the phrase "art vigilant" is spelled as /ɑrt ˈvɪdʒələnt/. The first word, "art," is pronounced with an "ah" sound followed by the "r" sound. The second word, "vigilant," is pronounced with a "v" sound followed by a short "i" sound, a "j" sound, and then the "lant" sound. This phrase is used to refer to being watchful and attentive when it comes to art, whether it be creating, appreciating, or protecting it.