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.
The Quantum Mechanical Supersymmetric O(3) and O(2,1) Models
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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.