Particle-Hole Symmetry in Generalized Seniority, Microscopic Interacting   Boson (Fermion) Model, Nucleon-Pair Approximation, and Others
  The particle-hole symmetry (equivalence) of the full shell-model Hilbert space is straightforward and routinely used in practical calculations. In this work we show that this symmetry is preserved in the subspace truncated at a certain generalized seniority, and give the explicit transformation between the states in the two types (particle and hole) of representations. Based on the results, we study the particle-hole symmetry in popular theories that could be regarded as further truncations on top of the generalized seniority, including the microscopic interacting boson (fermion) model, the nucleon-pair approximation, and others. 
L. Y. Jia
nucl-th