detachment vs indifference

detachment and indifference both are nouns.

Word	Noun	Adjective	Verb	Adverb
detachment	Yes	No	No	No
indifference	Yes	No	No	No

As nouns, indifference is a hypernym of detachment; that is, indifference is a word with a broader meaning than detachment:

detachment (noun)	indifference (noun)
the act of releasing from an attachment or connection	the trait of lacking enthusiasm for or interest in things generally
coming apart	the trait of remaining calm and seeming not to care; a casual lack of concern
avoiding emotional involvement	unbiased impartial unconcern
a small unit of troops of special composition	apathy demonstrated by an absence of emotional reactions
the state of being isolated or detached