Decomposition of fractional quantum Hall states: New symmetries and approximations

Understand

We provide a detailed description of a new symmetry structure of the monomial (Slater) expansion coefficients of bosonic (fermionic) fractional quantum Hall states first obtained in Ref.

• 1, which we now extend to spin-singlet states.
• We show that the Haldane-Rezayi spin-singlet state can be obtained without exact diagonalization through a differential equation method that we conjecture to be generic to other FQH model states.
• The symmetry rules in Ref.