建立SdS_5与共形不变相对论系统联系的统一性：群场论方法
Establishing the Uniqueness of the Connection between SdS_5 and Conformally Invariant Relativistic Systems: A Group/Field Theoretical Approach
摘要：
采用Minkowski空间的共形群O（4，2）作为相对论系统描述的最大对称群的工作假设，证明了AdS $_5$是唯一出现的空间，在其边界上对应的相对论场系统应该被容纳.建立这一结果的基本数学工具是（a）Cartan的旋量理论和（b）群收缩方法。将我们的考虑扩展到超对称性，证明了一个$N$ =1的超对称YM场系统是如何成为一个$N$ =4的超对称YM场系统的破缺形式的.介绍的一个特别重要的特点是'发掘'的种子，彼此独立，我的作品。Segal和S. Fubini，其中给出了一个纯场理论的角度对共形不变的相对论场论和AdS $_5$之间的密切关系，特别是包括翘曲现象。
英文摘要：
Adopting as working assumption that the conformal group O(4,2) of Minkowski space, being the largest symmetry group which respects its light cone structure, is the appropriate global symmetry underlying the description of relativistic systems, it is shown that AdS$_5$ uniquely emerges as the space on the boundary of which a corresponding relativistic field system should be accommodated. The basic mathematical tools employed for establishing this result are (a) Cartan's theory of spinors and (b) group contraction methods. Extending our considerations to supersymmetry it is demostrated how an $N$=1 SUSY YM field system can emerge as a broken version of an $N$=4 SUSY YM field system. An especially important feature of the presentation is the `unearthing' of seminal, independent from each other, works of I. Segal and of S. Fubini which give a purely field theoretical perspective on the intimate relation between conformally invariant relativistic field theories and AdS$_5$ including, in particular, the warping phenomenon.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
