Abstract:
We present two examples of SUSY mechanics related with K\"ahler geometry. The first system is the N=4 supersymmetric one-dimensional sigma-model proposed in hep-th/0101065. Another system is the N=2 SUSY mechanics whose phase space is the external algebra of an arbitrary K\"ahler manifold. The relation of these models with antisymplectic geometry is discussed.
  • talk: Kharkov 2000/07/25
  • mechanics
  • supersymmetry
  • geometry: Kaehler
  • geometry: symplectic
  • sigma model
  • dimension: 1
  • phase space
  • quantization: Becchi-Rouet-Stora
  • quantization: Batalin-Vilkovisky