Abandon down can mean to relinquish or give up something, but it can also refer to physical actions like dropping or letting loose of something. Synonyms for abandon down could include terms like release, let go, surrender, forfeit, abandon, cast off, disown, discard, or throw away. These words all convey a sense of letting something go, whether it be a physical object or a metaphorical concept like a belief or idea. Each word has a slightly different connotation depending on the context in which it is used. When choosing which synonym to use, it is important to consider the tone and meaning of the surrounding text and which word best fits the specific situation.