John Neumeier’s new ballet juxtaposes the story of The Little Mermaid with the life of Hans Christian Andersen, who had the misfortune of falling in love with unattainable women and heterosexual men who could never love him back.  The San Francisco production features mesmerizing music by Lera Auerbach, and the astonishing Yuan Yuan Tan as the mermaid. (2011, 120 minutes.)