$$\mathcal{N}=2$$ Multiplets and Lagrangians

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• 作者：Yuji Tachikawa (15)
  
• 刊名：Lecture Notes in Physics
• 出版年：2015
• 出版时间：2015
• 年：2015
• 卷：890
• 期：1
• 页码：13-24
• 全文大小：168 KB
• 参考文献：1. O.聽Aharony, O.聽Bergman, D.L. Jafferis, J.聽Maldacena, \(\mathcal{N}\! = 6\) superconformal Chern-Simons-matter theories, M2-Branes and their gravity duals. JHEP 10, 091 (2008). arXiv:0806.1218 [hep-th]
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  3. K.聽Fujiwara, H.聽Itoyama, M.聽Sakaguchi, Spontaneous partial breaking of \(\mathcal{N} = 2\) supersymmetry and the \(\mathrm{U}(N)\) gauge model, in / Noncommutativity and Singularities. Advanced Studies in Pure Mathematics, vol.聽55 (Mathematical Society of Japan, Tokyo, 2009), pp.聽223鈥?33
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  7. E.聽D鈥橦oker, D.H. Phong, Lectures on supersymmetric Yang-Mills theory and integrable systems (1999). arXiv:hep-th/9912271
  
• 作者单位：Yuji Tachikawa (15)
  
  15. Department of Physics, University of Tokyo, Tokyo, Japan
  
• ISSN：1616-6361

文摘

Let us now move on to the construction of the Lagrangian with \(\mathcal{N}=2\) supersymmetry. An \(\mathcal{N}=2\) supersymmetric theory is in particular an \(\mathcal{N}=1\) supersymmetric theory. Therefore it is convenient to use \(\mathcal{N}=1\) superfields to describe \(\mathcal{N}=2\) systems. For this purpose let us quickly recall the \(\mathcal{N}=1\) formalism. In this section only, we distinguish the imaginary unit by writing it as i.