Brooklyn-based quartet Monuments is touring in support of their self-titled LP. The solid theatrical debut is a concoction of Muse and Broken Social Scene with the sci-fi instrumentals of “Silver Star,” swooping vocals on “Not My Own,” the eerie guitar riffs of “Ice Pick Lobotomy,” and the heart-pounding percussion and acoustic guitar on “I’m Here Now,” an eerie retelling of lead singer Gabe Berezin’s near encounter with the World Trade Center attacks. Monuments plays Rockwood Music Hall Aug. 31 at 8 p.m.