A ChernSimons effective field theory for the Pfaffian quantum Hall state
Abstract
We present a lowenergy effective field theory describing the universality class of the Pfaffian quantum Hall state. To arrive at this theory, we observe that the edge theory of the Pfaffian state of bosons at v = 1 is an SU(2) _{2} KacMoody algebra. It follows that the corresponding bulk effective field theory is an SU(2) ChemSimons theory with coupling constant k = 2. The effective field theories for other Pfaffian states, such as the fermionic one at v = 1/2 are obtained by a fluxattachment procedure. We discuss the nonAbelian statistics of quasiparticles in the context of this effective field theory.
 Publication:

Nuclear Physics B
 Pub Date:
 April 1998
 DOI:
 10.1016/S05503213(98)001114
 arXiv:
 arXiv:condmat/9711087
 Bibcode:
 1998NuPhB.516..704F
 Keywords:

 Condensed Matter  Mesoscale and Nanoscale Physics
 EPrint:
 10 pages, LaTeX, 3 eps figures