▎ 摘 要
Strongly-correlated graphene quantum Hall states are described in terms of an SO(8) fermion dynamical symmetry that has pairing as well as particle-hole generators. The SU(4) symmetry of graphene quantum Hall ferromagnetism is recovered as one limit, but the full SO(8) symmetry gives analytical many-body solutions for a rich set of additional states exhibiting spontaneously-broken symmetry. A generalized coherent states solution is obtained that is equivalent to Hartree-Fock-Bogoliubov theory constrained by symmetry, and exhibits the interplay between competing collective degrees of freedom in determining the ground state.