Would Carey Mulligan really have a May-December affair with Bill Nighy? Maybe, but that’s the wrong question. Can the two acclaimed British actors play a couple who do? Absolutely—beautifully and splendidly and to very broad acclaim. Skylight, the David Hare play that currently stars Nighy and Mulligan, is the next installment in Shakespeare Theatre Company’s series of National Theatre Live broadcasts from London. Grab a comfy seat in Sidney Harman Hall, and listen as Mulligan, a stridently liberal math teacher, and Nighy, a capitalist restaurateur, spar as ex-lovers with conflicting social values. It’s an “extraordinarily springy combination,” according to one Guardian critic. The production and its stars will come to Broadway in March for a limited run, but a Jackson buys you a sneak peek tonight. What’s 20 bucks compared to $203 plus Amtrak tickets? The film shows at 7:30 p.m. at Sidney Harman Hall, 610 F St. NW. $20. (202) 547-1122. shakespearetheatre.org.