Founded by David Life and Sharon Gannon in 1984 in New York City, Jivamukti (which means "liberation while living") is a school of vinyasa yoga, so it's physically intense.
David and Sharon are longtime vegetarian and vegan supporters as well.
Jivamukti is definitely one of the most interesting and diverse styles of yoga, as it can also involve music, scripture reading, and chanting. Perhaps it's those opportunities for musical expression that make Russell Simmons, Gwyneth Paltrow, and Sting and his wife, Trudie Styler, practitioners and fans of Jivamukti.
If you're looking for a more spiritual experience, Jivamukti could be for you.