标题： N = 2 超杨-米尔斯理论与物质场的无辅助场的非壳形式 显示英文标题

标题： Off--shell formulation of N = 2 Super Yang--Mills theories coupled to matter without auxiliary fields

摘要： 在Wess-Zumino规范下考虑了与物质耦合的N=2超对称Yang-Mills理论。超对称性非线性地实现，两个超对称电荷之间的反对易子除了平移、规范变换和运动方程外，还给出其他项。这种代数结构中隐藏的困难是众所周知的：几乎总是可以引入辅助场以使形式体系离壳，但场依赖的规范变换仍然会导致一个无限维的代数，很难处理。然而，可以通过将定义该理论的所有对称性，即普通的BRS对称性、超对称性和平移，合并到一个唯一的幂零算子中来避免所有这些问题。根据这种方法，辅助场的作用由通常与量子场的非线性变分耦合的外部源来承担。分析随后的形式就简化为普通Yang-Mills理论的情况。 显示英文摘要

摘要： N=2 supersymmetric Yang--Mills theories coupled to matter are considered in the Wess--Zumino gauge. The supersymmetries are realized nonlinearly and the anticommutator between two susy charges gives, in addition to translations, gauge transformations and equations of motion. The difficulties hidden in such an algebraic structure are well known: almost always auxiliary fields can be introduced in order to put the formalism off--shell, but still the field dependent gauge transformations give rise to an infinite dimensional algebra quite hard to deal with. However, it is possible to avoid all these problems by collecting into an unique nilpotent operator all the symmetries defining the theory, namely ordinary BRS, supersymmetries and translations. According to this method the role of the auxiliary fields is covered by the external sources coupled, as usual, to the nonlinear variations of the quantum fields. The analysis is then formally reduced to that of ordinary Yang--Mills theory.