haute cuisine vs culinary art

haute cuisine and culinary art both are nouns.

Word	Noun	Adjective	Verb	Adverb
haute cuisine	Yes	No	No	No
culinary art	Yes	No	No	No

As nouns, culinary art is a hypernym of haute cuisine; that is, culinary art is a word with a broader meaning than haute cuisine:

haute cuisine: (French) an elaborate and skillful manner of preparing food
culinary art: the practice or manner of preparing food or the food so prepared

Other hypernyms of haute cuisine include cuisine.

haute cuisine (noun)	culinary art (noun)
(French) an elaborate and skillful manner of preparing food	the practice or manner of preparing food or the food so prepared