Some are photosynthetic, some are not, but most collected for aquariums are photosynthetic.
Typical reef lighting would be fine.
The drip of Phyto would be the optimal situation, but very difficult. It would require a doser, pulling from a refrigerated source of Phyto. Feeding 3-4 times a week with a blend of Phyto and a mash of typical home-made fish/coral food (clam, shrimp, fish, oyster egg, etc.) would probably work.
Brisk wave-like water movement is also necessary.
And no algae formation on it at all.
Overall, they are very difficult to keep for any length of time.