Supersymmetric Nonlinear Sigma Models as Gauge Theories
Supersymmetric Nonlinear Sigma Models as Gauge Theories
复制标题
作为规范理论的超对称非线性西格玛模型
DOI：
10.1143/ptp.103.635
复制
发表时间：
1999
影响因子：
--
通讯作者：
M. Nitta
中科院分区：
文献类型：
--
作者：
K. Higashijima;M. Nitta
超对称非线性模型是通过施加超对称约束由线性模型得到的。如果我们引入辅助的手性和矢量超场，这些约束可以根据目标流形用d项和f项表示。辅助矢量超场表现为没有动力学项的规范场。如果没有d项约束，目标流形总是非紧化流形。当这些非紧化方向上的所有自由度被规范对称消除时，目标流形就变得紧化了。以厄米对称空间为目标流形的所有超对称非线性σ模型，都被成功地表述为规范理论。
Supersymmetric nonlinear sigma models are obtained from linear sigma models by imposing supersymmetric constraints. If we introduce auxiliary chiral and vector superfields, these constraints can be expressed by D-terms and F-terms depending on the target manifolds. Auxiliary vector superfields appear as gauge fields without kinetic terms. If there are 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.