indulge vs surfeit

indulge is not a noun while surfeit is a noun.

Word	Noun	Adjective	Verb	Adverb
indulge	No	No	Yes	No
surfeit	Yes	No	Yes	No

As verbs, surfeit is a hyponym of indulge; that is, surfeit is a word with a more specific, narrower meaning than indulge:

indulge (noun)	surfeit (noun)
	eating until excessively full
	the quality of being so overabundant that prices fall
	the state of being more than full

indulge (verb)	surfeit (verb)
yield (to); give satisfaction to	indulge (one's appetite) to satiety
enjoy to excess	supply or feed to surfeit
treat with excessive indulgence
give free rein to