dramatic art vs dramatics

dramatic art and dramatics both are nouns.

Word	Noun	Adjective	Verb	Adverb
dramatic art	Yes	No	No	No
dramatics	Yes	No	No	No

As nouns, dramatic art and dramatics are synonyms defined as:

Other synonyms of dramatic art include dramaturgy, theater, theatre.

dramatic art (noun)	dramatics (noun)
the art of writing and producing plays	participation in theatrical productions as an extracurricular activity
	the art of writing and producing plays