Supersymmetric Nonlinear Sigma Models

Abstract

Supersymmetric nonlinear sigma models are formulated as gauge theories. Auxiliary chiral superfields are introduced to impose supersymmetric constraints of F-type. Target manifolds defined by F-type constraints are always non-compact. In order to obtain nonlinear sigma models on compact manifolds, we have to introduce gauge symmetry to eliminate the degrees of freedom in non-compact directions. All supersymmetric nonlinear sigma models defined on the hermitian symmetric spaces are successfully formulated as gauge theories.

LaTeX, 10 pages, no figures, Talk given at the International Symposium on "Quantum Chromodynamics and Color Confinement" (Confinement 2000), 7-10 March 2000, RCNP, Osaka, Japan

References in corpus (3)

• The Geometry of Sigma-Models with Twisted Supersymmetry
• The Geometry of Supersymmetric Sigma-Models
• Geometry, Isometries and Gauging of (2,1) Heterotic Sigma-Models

Cited by in corpus (7)

• Three-dimensional (p,q) AdS superspaces and matter couplings
• Extended supersymmetric sigma models in AdS_4 from projective superspace
• Conformal Sigma Models with Anomalous Dimensions and Ricci Solitons
• Large-n Limit of N=2 Supersymmetric Q^n Model in Two Dimensions
• Curvature Couplings in $\mathcal{N}=(2,2)$ Nonlinear Sigma Models on $S^2$
• Higher curvature Bianchi identities, generalised geometry and $L_{\infty }$ algebras
• Classical worldvolumes as generalised geodesics