From what I've heard, no ones had much success with hypoponera. A shame, as they are really quite interesting. I'll try to share what I've seen from my most successful colony.
Although their considered cryptobiotic, the workers seem to forage normally in an small, shallow out world exposed to light. They can be polygyne, with multiple normal and ergatoid queens. Ergatoid males are present, inbreeding with queens. This makes colonies surprisingly capable of an extremely long lifespan. Polydomy has been recorded by scientists as well. Nests seem to consist of tunnels radiating out from one or more decent sized chambers. The large chambers seem to be created specially for storing brood. Queens are shy and only forage actively during the founding stage. New queens seem to prefer to found in pre-dug worm tunnels. Largest nest I've found took up half a foot and extended several centimeters down. Reproduction consists of flights(which are unreliable, all queens I caught in founding tunnels except one were infertile) and what seems like the budding of army ant species. I've found tens of small colonies consisting of 2-3 wingless queens and several workers. Egg laying rate is actually high under the right conditions. Small budded colonies have chambers of 30-50 eggs. I've found one mature colony with a chamber an inch wide and 1 centimeter deep full of cocoons. There were also side chambers filled with cocoons. Diet consists of small arthropods like springtails or baby centipedes and spiders. Large colonies will sometimes hunt in pairs, tandem running along tunnels. They can hunt and kill large insects, like juvenile earwigs. They cannot climb plastic or glass, but seem to do okay along other smooth surfaces, like dried glue. Workers will stack grains of sediment along walls to act as stepping stones.
That's all I have for now. If anyone can correct me or has anything to add, please do.