Time-reversal symmetric hierarchy of fractional incompressible liquids
  We provide an effective description of fractional topological insulators that include the fractional quantum spin Hall effect by considering the time-reversal symmetric pendant to the topological quantum field theories that encode the Abelian fractional quantum Hall liquids. We explain the hierarchical construction of such a theory and establish for it a bulk-edge correspondence by deriving the equivalent edge theory for chiral bosonic fields. Further, we compute the Fermi-Bose correlation functions of the edge theory and provide representative ground state wave functions for systems described by the bulk theory. 
Luiz Santos, Titus Neupert, Shinsei Ryu, Claudio Chamon, and   Christopher Mudry
cond-mat.str-el