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.
String junctions in flag manifold sigma model
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abstract
We numerically construct a stable three-string junction of Y-shape in a flag manifold nonlinear sigma model on $SU(3)/U(1)^2$.
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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.