This is the writeup of the lectures given at the Winter School ‘YRISW 2018’ to appear in a special issue of J. Phys. A: Math. Theor. In the first part of these lecture notes we review some important facts about 4D ##IMG## [http://ej.iop.org/images/1751-8121/53/28/283005/aab7f66ieqn5.gif] {$\mathcal{N}=2$} SCFTs. We begin with basic textbook material, the supersymmetry algebra and its massless representations and the construction of Lagrangians using superspace. Then we turn to more modern topics, the study of the ##IMG## [http://ej.iop.org/images/1751-8121/53/28/283005/aab7f66ieqn6.gif] {$\mathcal{N}=2$} SCA and its representation theory. Our intention is to understand how much we can learn from representation theory alone, even about the dynamics of ##IMG## [http://ej.iop.org/images/1751-8121/53/28/283005/aab7f66ieqn7.gif] {$\mathcal{N}=2$} SCFTs. In the second part of the notes we use these tools to const...

中文翻译：

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4D ## IMG ## [http://ej.iop.org/images/1751-8121/53/28/283005/toc_aab7f66ieqn1.gif] {$ \ boldsymbol {\ mathcal {N}} \ mathbf {=} $ } 2个SCFT和旋转链

这是在冬季学校``YRISW 2018''上发表的演讲的全文，这些演讲将出现在J.Phys。答：数学。理论。在这些讲义的第一部分中，我们回顾了有关4D的一些重要事实## IMG ## [http://ej.iop.org/images/1751-8121/53/28/283005/aab7f66ieqn5.gif] {$ \ mathcal {N} = 2 $} SCFT。我们从基础教科书材料，超对称代数及其无质量表示形式以及使用超空间构造拉格朗日开始。然后，我们转向更现代的主题，即## IMG ##的研究[http://ej.iop.org/images/1751-8121/53/28/283005/aab7f66ieqn6.gif] {$ \ mathcal {N } = 2 $} SCA及其表示理论。我们的目的是了解即使从## IMG ## [http://ej.iop.org/images/1751-8121/53/28/283005/aab7f66ieqn7的动态变化中，我们可以从表示理论中单独学到很多东西。 gif] {$ \ mathcal {N} = 2 $}个SCFT。