Founded in 1989, Crispers operates 36 locations across Florida.
Publix announced in May that it had signed a deal to sell the fresh salads, soups and sandwiches restaurant company, which it purchased in February 2007.
Terms of the deal were not disclosed.
Healthy Food Concepts is a new company formed by Boyne Capital, a private investment group. The company said it hopes to grow Crispers in Florida, as well as outside the Sunshine State.
Crispers said it will offer all Publix employees a 10 percent discount.