查看“︁阿丁克拉符号 (物理学)”︁的源代码

[[File:AdinkraGraph.svg|thumb|一个简单的阿丁克拉图，其与立方的<math>\mathbb{Z}_2</math>-商群同构。（虚线已被除去）]]

在[[超引力]]和[[超对称]]理论相关的表达式中，'''阿丁克拉符号'''（Adinkra Symbol）作为一种图像符号来表示[[超对称算术]]。<ref>{{Cite journal | last1 = Faux | first1 = M. | last2 = Gates | first2 = S. J. | doi = 10.1103/PhysRevD.71.065002 | title = Adinkras: A graphical technology for supersymmetric representation theory | journal = Physical Review D | volume = 71 | issue = 6 | year = 2005 | pmid =  | pmc = |arxiv = hep-th/0408004 |bibcode = 2005PhRvD..71f5002F }}</ref><ref>S. James Gates Jr.: "[http://www.teach12.com/ttcx/coursedesclong2.aspx?cid=1284 Superstring Theory: The DNA of Reality] {{webarchive |url=https://web.archive.org/web/20070926231740/http://www.teach12.com/ttcx/coursedesclong2.aspx?cid=1284 |date=September 26, 2007 }}" (The Teaching Company)</ref><ref>S.J. Gates, Jr.: "[http://mag.digitalpc.co.uk/Olive/ODE/physicsworld/LandingPage/LandingPage.aspx?href=UEhZU1dvZGUvMjAxMC8wNi8wMQ..&pageno=MzY.&entity=QXIwMzYwMA..&view=ZW50aXR5 Symbols of Power, Physics World, Vol. 23, No 6, June 2010, pp. 34 - 39"] {{webarchive |url=https://web.archive.org/web/20110726101531/http://mag.digitalpc.co.uk/Olive/ODE/physicsworld/LandingPage/LandingPage.aspx?href=UEhZU1dvZGUvMjAxMC8wNi8wMQ..&pageno=MzY.&entity=QXIwMzYwMA..&view=ZW50aXR5 |date=July 26, 2011 }}</ref><ref>S.J. Gates, Jr.: "[http://www.q2cfestival.com/play.php?lecture_id=7737 Quarks to Cosmos] {{webarchive |url=https://web.archive.org/web/20110319003500/http://www.q2cfestival.com/play.php?lecture_id=7737 |date=March 19, 2011 }}"</ref><ref>S.J. Gates, Jr., and T. Hubsch, "[http://arxiv.org/abs/1104.0722 On Dimensional Extension of Supersymmetry: From Worldlines to Worldsheets] {{Wayback|url=http://arxiv.org/abs/1104.0722 |date=20170805060718 }}"</ref> 数学上它们由色带有限互连的可[[二分图|二分]][[正则图|正则]][[图|简单图]]组成。<ref>{{Cite web |url=http://arxiv.org/pdf/1111.6055.pdf |title="Adinkras for Mathematicians", Y. X. Zhang (arXiv) |accessdate=2017-06-10 |archive-date=2017-06-02 |archive-url=https://web.archive.org/web/20170602042919/https://arxiv.org/pdf/1111.6055.pdf |dead-url=no }}</ref> 其名字则来自于[[阿散蒂人]]的书写符号[[阿丁克拉]]。<ref>[https://web.archive.org/web/20160418235930/http://www.onbeing.org/blog/symbols-power-adinkras-and-nature-reality/2438 "Symbols of Power: Adinkras and the Nature of Reality", S. J. Gates]</ref>

==概览==
一种表示超李代数的方式是先表示一个拥有<math> N </math> 个[[超对称生成]]的时间-空间维度里，就像是 <math> (1|N) </math>的超代数。在这种情况下，超对称生成的定义算术关系被简化为：

:<math>\{Q_I, Q_J\} = 2 i \delta _{I J} \partial_\tau </math>.

此处 <math> \partial_\tau </math> 表示在单一空间-时间坐标上的偏微分。一个<math> (1|1) </math> 具现化的组合由一个玻色子场 <math> \phi </math>，一个费米子场<math> \psi </math>，和一个生成作用<math> Q </math>，其互相的影响则是：

:<math> Q \phi= i \psi </math>,
:<math> Q \psi= \partial_\tau \phi</math>.

由于我们仅生成了一个超对称，所以计算简化为 <math> Q^2 = i \partial _\tau </math>，被完美满足。

==参考文献==
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==外部链接==
* http://golem.ph.utexas.edu/category/2007/08/adinkras.html {{Wayback|url=http://golem.ph.utexas.edu/category/2007/08/adinkras.html |date=20160706113816 }}
* https://www.flickr.com/photos/science_and_thecity/2796684536/ {{Wayback|url=https://www.flickr.com/photos/science_and_thecity/2796684536/ |date=20110629192352 }}
* https://www.flickr.com/photos/science_and_thecity/2795836787/ {{Wayback|url=https://www.flickr.com/photos/science_and_thecity/2795836787/ |date=20110629192406 }}
*http://www.thegreatcourses.com/courses/superstring-theory-the-dna-of-reality.html {{Wayback|url=http://www.thegreatcourses.com/courses/superstring-theory-the-dna-of-reality.html |date=20170627213533 }}

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[[Category:超对称]]