The National are on a hot streak. But wait, let’s take a step back first. Although frontman Matt Berninger, guitarists Aaron and Bryce Dessner, drummer Bryan and bassist Scott Devendorf first began making music together in Cincinnati, upon relocating to our fair city, they’ve become the quintessential New York City band—appearing at Mercury Lounge more than 10 times, playing the first shows at both Music Hall of Williamsburg and Terminal 5, and doing an exceptional residency at the Beacon Theatre. And while their first four albums are beloved, it was their fifth, High Violet, which started to gain them more recognition. And now, back to that hot streak: On May 20th, the quintet performed “Don’t Swallow the Cap” on Late Show with David Letterman, above, the night before their sixth album, Trouble Will Find Me (stream it below), was released to near universal acclaim. The band celebrated its release the next day with three intimate shows, capped off by another appearance at a very sold-out Mercury Lounge. The buzz built even further with the National’s festival-closing performance at the inaugural Boston Calling the following weekend. And now they’ve officially hit the big time as the Brooklyn band plays the biggest venue in that borough, Barclays Center, tonight. Not only shouldn’t you miss it, but you should also arrive early enough to see Youth Lagoon.