Sigma-models with torsion (Q1822115)

Supersymmetric sigma-models including torsion are analyzed with the canonical formulation of the \((0+1)\)-dimensional reduction being presented in both classical and quantized forms. The \(N=1\) model on a group manifold is used to illustrate this work. An \(N=\) reduction of this example is introduced with a new 1-parameter family of supercharges. Connection is made between this latter model and Kac-Moody partition function identities.