I am an undergrad interested in Condensed Matter Theory. Particularly topological phases and systems exhibiting topological order. A potential research advisor doing a lot of work in Symmetry Protected Topological (SPT) Phases pointed me to a review paper by Senthil (http://arxiv.org/abs/1405.4015) but I have found that despite having taken some of the CMT grad courses at my institution (many-body quantum field theory, cond-mat topics) there are quite a few tools I still lack practice in. Chern-Simons Theory being a prime example. Anyone know some good review papers or perhaps a good path through the literature for someone interested in doing this kind of work?
That review paper is good.
You'll want to look into this review by Zee on (Fractional) Quantum Hall fluids and the field theory approach. http://arxiv.org/abs/cond-mat/9501022
Wen's book (http://www.amazon.com/Quantum-Field-Theory-Many-body-Systems/dp/019922725X) is also a good resource for many related topics though there are some quirks.
I have found that the review by Nayak et al. on topological quantum computation (http://arxiv.org/abs/0707.1889) to be helpful in getting acquainted with topological phases, Chern-Simons theory and many related issues. It is really a wonderful review and definitely should be on your reading list.