Entanglement Action for the Real-Space Entanglement Spectra of Chiral Abelian Quantum Hall Wave Functions

We argue and numerically substantiate that the real-space entanglement spectrum (RSES) of chiral abelian quantum Hall states is given by the spectrum of a local boundary perturbation of a (1+1)d conformal field theory, which describes an effective edge dynamics along the real-space cut. The cut-and-glue approach suggests that the low-lying RSES is equivalent to the low-lying modes of some effective edge action. The general structure of this action is deduced by mapping to a boundary critical problem, generalizing work of Dubail, Read, and Rezayi [PRB 85, 11531 (2012)]. Using trial wave functions we numerically test our model of the RSES for the ν = 2/3 bosonic composite fermion state.