Quantum Hall states at ν=2/k+2:: Analysis of the particle-hole conjugates of the general level-k Read-Rezayi states

We study the nu=2/k+2 quantum Hall states which are particle-hole conjugates of the nu=2/k+2 Read-Rezayi states. We find that equilibration between the different modes at the edge of such a state leads to an emergent SU(2)(k) algebra in the counter-propagating neutral sector. Heat flow along the edges of these states will be in the opposite direction of charge flow. In the k=3 case, which may be relevant to nu=2+2/5, the thermal Hall conductance and the exponents associated with quasiparticle and electron tunneling distinguish this state from competing states such as the hierarchy and/or Jain state.