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A generic prediction of string theory is the existence of many axion fields.It has recently been argued that many of these fields should be light and, likethe well known QCD axion, lead to observable cosmological consequences. In thispaper we study in detail the effect of the so-called string axiverse on largescale structure, focusing on the morphology and evolution of densityperturbations, anisotropies in the cosmic microwave background and weakgravitational lensing of distant galaxies. We quantify specific effects thatwill arise from the presence of the axionic fields and highlight possibledegeneracies that may arise in the presence of massive neutrinos. We takeparticular care understanding the different physical effects and scales thatcome into play. We then forecast how the string axiverse may be constrained andshow that with a combination of different observations, it should be possibleto detect a fraction of ultralight axions to dark matter of a few percent.

Ultra-light Axions: Degeneracies with Massive Neutrinos and Forecasts for Future Cosmological Observations