Mr. Obama’s campaign has invented “Julia,” a fictional woman whose life is chronicled in a slick infographic published on the campaign’s Web site on Thursday. Visitors to the site can watch as Julia grows up, receiving benefits from the president’s policies along the way.

At age 3, Julia is enrolled in Head Start programs, thanks to Mr. Obama. By 22, she’s covered by her parents’ health care because of Mr. Obama’s health reforms. At 42, she’s getting a small-business loan from the government. When she reaches 67, she’s retired and drawing Social Security benefits.

But if the campaign hoped to put a personal face on the president’s accomplishments, it has also managed to provoke a fury among conservatives, who took to Twitter to mock Julia and tocondemn the implication that the fictional young woman should be dependent on government policies throughout her life.