Establish decisive experimental evidence for the nonabelian Chern–Simons description of the ν = 5/2 fractional quantum Hall system

Establish decisive experimental proof that the observed fractional quantum Hall system with k = 5/2 requires a description by a nonabelian Chern–Simons theory.

Background

The paper explains that most experimentally observed fractional quantum Hall systems are believed to be modeled by abelian Chern–Simons theory. It then identifies the system with k = 5/2 as a notable exception, because its proposed description is nonabelian Chern–Simons theory, following the Moore–Read construction.

Although the nonabelian proposal is theoretically motivated, the paper states that decisive experimental proof remains unavailable. The unresolved problem is therefore to obtain conclusive experimental evidence validating the nonabelian Chern–Simons description of the k = 5/2 fractional quantum Hall state.