论文标题
通过非线性实现的超级施瓦兹人
Super-Schwarzians via nonlinear realizations
论文作者
论文摘要
n = 1和n = 2超级 - 雪术衍生物最初是由物理学家介绍的，当计算超级符合场理论的超压力 - 能量张量的有限超符合转换。数学家喜欢将它们视为描述谎言超级甲壳虫的中心扩展的共生。在这项工作中，讨论了第三种可能性，其中包括将非线性实现方法应用于OSP（1 | 2）和SU（1,1 | 1）超符合代数。事实证明，如果人们决定将独立的Goldstone超级领域的数量保持在最低限度，那么超级史瓦兹人就会自然而然地出现。
The N=1 and N=2 super-Schwarzian derivatives were originally introduced by physicists when computing a finite superconformal transformation of the super stress-energy tensor underlying a superconformal field theory. Mathematicians like to think of them as the cocycles describing central extensions of Lie superalgebras. In this work, a third possibility is discussed which consists in applying the method of nonlinear realizations to osp(1|2) and su(1,1|1) superconformal algebras. It is demonstrated that the super-Schwarzians arise quite naturally, if one decides to keep the number of independent Goldstone superfields to a minimum.
