FORT GREENE AND GOWANUS We are lucky to be in a season when there are not one but two “alt” Nutcrackers to see. At BAM, Mark Morris’s “The Hard Nut,” now celebrating its 20th year, is the rare Nutcracker that uses Tchaikovsky’s score in its entirety. Yet Morris subverts the original with a campy 1960s storyline, plenty of pop cultural references (Wizard of Oz, Charles Burns), and transporting dance sequences. It runs through Dec. 19. Austin McCormick’s Company XIV “Nutcracker Rouge” is an even more risque take. His “Baroque-Burlesque confection” at 303 Bond St. draws from Duke Ellington’s sexier suite, with opulent costumes fit for Marie Antoniette. Here, Marie-Claire travels through the Kingdom of the Sweets–personified by hot “cherry” girls and “licorice” boys in assless leather briefs–to meet her Nutcracker Prince. It’s a sweet treat, and fortunately you have until Jan. 9 to see it.