While this may appear to be a parasitic relationship it is more commensal since the termites are not really hurt by the presence of the springtails. Termites collect plant cellulose and use it to raise fungus. They actually build gardens made from cellulose that they use to grow the fungus. The fungus are actually what the termites eat. This is an example of a mutualistic interaction because both the fungus and termites gain from the relationship.
Termites also have endosymbiotic bacteria in their guts that help break down the plant cellulose.
Essentially these are bacteria that only live inside the guts of termites. This too is a mutualistic interaction. Termites build air-conditioning vents that let cool air in the bottom and hot air out the top. They also spread water on the walls of these vents to cool the mound. This works because the water evaporates and takes heat from the warm clay to the cool air.