carpet slipper vs slipper

carpet slipper and slipper both are nouns.

Word	Noun	Adjective	Verb	Adverb
carpet slipper	Yes	No	No	No
slipper	Yes	No	No	No

As nouns, carpet slipper and slipper are synonyms defined as:

carpet slipper and slipper: low footwear that can be slipped on and off easily; usually worn indoors

carpet slipper (noun)	slipper (noun)
low footwear that can be slipped on and off easily; usually worn indoors	low footwear that can be slipped on and off easily; usually worn indoors
	a person who slips or slides because of loss of traction