Lettuce Slug Primer
1. Lettuce slugs are not nudibranchs.
2. Lettuce slugs will only eat living algae.
3. Lettuce slugs will only eat certain, specific living algaes.
4. Each species of lettuce slug has its own specific certain living algae species that it will eat.
5. Scientists and hobbyists do not know what algae species the vast majority of lettuce slugs eat.
For example, I am not aware of any studies that have identified the food source of lettuce slug Elysia diomedea, which hails from the Pacific and can be found in the trade. In the case of E. crispata from the Western Atlantic (also found in the trade), it is known that this seaslug feeds on calcareous algae (Halimeda incrassata and Penicillus capitatus.) Most hobbyists consider calcareous algae to be "decorative" and may not want a seaslug sucking the chloroplasts out of it.
E. clarki, which can be found in the Florida Keys, is one lettuce slug for which food studies have been performed. In its natural habitat, the juveniles will feed on Bryopsis while the adults feed on Penicillus and Halimeda.
Some things to consider before getting a lettuce seaslug
1. Only one species of lettuce slug is known to feed on Bryopsis, but there are at least 41 species in the lettuce slug genus, three of which are routinely seen in the trade in the United Sates.
2. Bryopsis is only one of many kinds of hair algae that could be growing in your tank. If your hair algae does not appear distinctly "feathered" at its ends, then the algae is not Bryopsis.
3. Even the "right" slug will not rid your tank of the "right" algae. Lettuce slugs feed by piercing algae cells and sucking out their contents -- think of them as the "vampire bats of the undersea herbivore world" -- they leave some parts of the algae behind.
4. Seaslugs of anykind (especially ones who have little to no defensive capabilities) are easily killed by tears in their fragile flesh. They are not appropriate in set ups that have unmodified filter intakes, overflows, or powerheads.
5. Neither should seaslugs be housed with animals that are likely to pick at them, like coral banded shrimp, cleaner shrimp, lawnmower blennies, tangs, angelfish, or anything else that likes to pick or may mistake them for tasty algae. Finally, they can also be eaten or stung and killed by anemones and strong corals like elegance, hammers, plates, etc.
Your best bet is to take care of your hair algae outbreak yourself, by both manually removing the hair algae and cleaning up your tank. Something is going on that is feeding the growth of the hair algae. You may need to clean up your feeding practices, your water change practices, or add aditional filtering capabilities.