The antonyms for the phrase "art in possession of" can be numerous, depending upon the context in which the phrase is used. If we are talking about the ownership of art, some of the antonyms could be lack of ownership, absence of art in possession, or simply no possession of art. Similarly, if we are talking about the quality of the art in possession, antonyms could include the art in the state of disrepair, damaged art, or low-quality art. In any case, the word antonyms for the phrase "art in possession of" essentially connote the absence or negation of the phrase itself.