frivolity vs indulgence

frivolity and indulgence both are nouns.

Word	Noun	Adjective	Verb	Adverb
frivolity	Yes	No	No	No
indulgence	Yes	No	No	No

As nouns, indulgence is a hypernym of frivolity; that is, indulgence is a word with a broader meaning than frivolity:

Other hypernyms of frivolity include craziness, folly, foolery, lunacy, tomfoolery.

frivolity (noun)	indulgence (noun)
acting like a clown or buffoon	the act of indulging or gratifying a desire
something of little value or significance	foolish or senseless behavior
the trait of being frivolous; not serious or sensible	the remission by the pope of the temporal punishment in purgatory that is still due for sins even after absolution
	an inability to resist the gratification of whims and desires
	a disposition to yield to the wishes of someone