Finite-dimensional N=2 and N=4 supersymmetric oscillator chains are shown to truncate sigma models on SU(n) coadjoint orbits, with Witten indices recovering the Dolbeault and de Rham index theorems.
Characteristic Classes and Homogeneous Spaces, I
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Oscillator Calculus on Coadjoint Orbits and Index Theorems
Finite-dimensional N=2 and N=4 supersymmetric oscillator chains are shown to truncate sigma models on SU(n) coadjoint orbits, with Witten indices recovering the Dolbeault and de Rham index theorems.