As the name suggests these corals have lots of branches which often branch out into more corals and its colour may vary between green and a pinkish-brown. Stylophora or Hood-corals a type of Branching corals can be distinguished by the bush formation which it grows in that is formed by branches shaped like fingers.
Staghorn coral, another type of branching corals which is known to grow at rapid pace and can be found on the seabed at a depth of 30 or on the surface of coral reefs. These corals don't offer much resistance against stormy weather but keep up their numbers because they re-grow very fast. It was in fact of the first coral types to recover from the bleaching effect which was caused by El Nino effect in 1998.
If you want information regarding coral conservation and even how to start your own coral patch in the Maldives, resorts similar to likes of Anantara Dhigu Maldives Resort who conduct Coral Adaptation Programmes would be a good place to start.