Supersymmetric Nonlinear Sigma Models as Gauge Theories

Supersymmetric nonlinear sigma models are obtained from linear sigma models by imposing supersymmetric constraints. If we introduce auxiliary chiral and vector superfields, these constraints are expressed by D-terms and F-terms depending on the target manifolds. Auxiliary vector superfields appears as gauge fields without kinetic terms. If there is no D-term constraints, the target manifolds are always non-compact manifolds. When all the degrees of freedom in these non-compact directions are eliminated by gauge symmetries, the target manifold becomes compact. All supersymmetric nonlinear sigma models, whose target manifolds are the hermitian symmetric spaces, are successfully formulated as gauge theories. ∗ e-mail: [email protected]. † e-mail: [email protected].