advertising vs publicity

advertising and publicity both are nouns.

Word	Noun	Adjective	Verb	Adverb
advertising	Yes	No	No	No
publicity	Yes	No	No	No

As nouns, publicity is a hypernym of advertising; that is, publicity is a word with a broader meaning than advertising:

advertising: a public promotion of some product or service
publicity: a message issued in behalf of some product or cause or idea or person or institution

Other hypernyms of advertising include packaging, promo, promotion, promotional material.

advertising (noun)	publicity (noun)
the business of drawing public attention to goods and services	the quality of being open to public view
a public promotion of some product or service	a message issued in behalf of some product or cause or idea or person or institution