Rita Indiana is the unlikeliest of Latin pop stars. She’s gay, an acclaimed novelist and somewhat androgynous. But the Dominican singer and composer has struck a chord both at home and abroad with an alternative approach to merengue (the island’s most famous export) that mixes rock guitar, electro synths and slang-heavy poetry with the Afro-Dominican dance genre. After letting the hype build for a few years, Rita Indiana is hitting New York for the first time with a week of highly-anticipated showcases and concerts. On Saturday, she plays Central Park Summerstage in the afternoon and SOBs in the evening.