The Broadway transfer of “Other Desert Cities,” which has played to soldout houses since previews began on Oct. 12, will continue perfs into March, beyond its previous close date of Jan. 8, the Lincoln Center Theater announced Tuesday.Extension is open-ended and tickets are now available through March 25. “Cities” follows on the heels of “War Horse,” Lincoln Center’s other current Broadway hit. Critics praised Jon Robin Baitz’ script and Joe Mantello’s direction, but the high-wattage cast has undoubtedly helped drive up demand for the show, and there’s no word yet as to whether the cast has reupped. “Cities” thesps include Stockard Channing, Judith Light, Rachel Griffiths, Stacy Keach and Thomas Sadoski. “Cities” played to SRO crowds last week and took in nearly as much money at the box office as the long-running “Chicago,” despite playing in a smaller house. The play follows Polly and Lyman Wyeth (Channing and Keats), former Reaganites and committed Republicans, whose liberal daughter Brooke (Griffiths) returns home to Palm Springs with news that upends the family dynamics.