Well, sure, there's some theoretical work.
I suspect the solution, if there is one, likely lies in massive-scale carbon recapture. Not the post-combustion capture we're doing at power plants, which is too little to have any impact, but global carbon recapture.
And how can that be done? Well, possibly with biotech. We've run the numbers on questions like "What if we cultivated vast fields of bamboo and seaweed and sequestered them miles underground," and they don't really show much promise. But perhaps if we could engineer a photosynthesizing organism that divided at a rate far beyond what natural selection would lead to on its own...
Whether solutions like that are "on the horizon" is really a question of whether we invest trillions of dollars into them or not. The modern Internet did not seem to be "on the horizon" in 1985, and we built that thing lightning-fast because that's where we put all of our money.