Harmonic superspace
In supersymmetry, harmonic superspace is one way of dealing with supersymmetric theories with 8 real SUSY generators in a manifestly covariant manner. It turns out that the 8 real SUSY generators are pseudoreal, and after complexification, correspond to the tensor product of a four-dimensional Dirac spinor with the fundamental representation of SU(2)R. The quotient space S U ( 2 ) R / U ( 1 ) R ≈ S 2 ≃ C P 1 {\displaystyle SU(2)_{R}/U(1)_{R}\approx S^{2}\simeq \mathbb {CP} ^{1}} , which is a 2-sphere/Riemann sphere.