It’s difficult, right now, to find the words “Kayli Carter” without the word “breakthrough” nearby. The adjective refers to her brilliant performance in Tamara Jenkins’ PRIVATE LIFE, in which Carter unflappably shines next to her more seasoned co-stars Kathryn Hahn and Paul Giamatti. She talks about the chemistry she had with those three, and about her formative experience with Mark Rylance in the play “Nice Fish” (including a 60 minute audition!), plus how she’s perfectly fine with passing on parts that do not depict young women as fully formed characters.