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词条 Adinkra symbols (physics)
释义

  1. Overview

  2. References

  3. External links

In supergravity and supersymmetric representation theory, Adinkra symbols are a graphical representation of supersymmetric algebras.[1][2][3][4][5] Mathematically they can be described as colored finite connected simple graphs, that are bipartite and n-regular.[6] Their name is derived from Ashanti symbols of the same name.[7]

Overview

One approach to the representation theory of super Lie algebras is to restrict attention to representations in one space-time dimension and having supersymmetry generators, i.e., to superalgebras. In that case, the defining algebraic relationship among the supersymmetry generators reduces to

.

Here denotes partial differentiation along the single space-time coordinate. One simple realization of the algebra consists of a single bosonic field , a fermionic field , and a generator which acts as

,

.

Since we have just one supersymmetry generator in this case, the superalgebra relation reduces to , which is clearly satisfied.

References

1. ^{{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 }}
2. ^S. James Gates Jr.: "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)
3. ^S.J. Gates, Jr.: "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 }}
4. ^S.J. Gates, Jr.: "Quarks to Cosmos {{webarchive |url=https://web.archive.org/web/20110319003500/http://www.q2cfestival.com/play.php?lecture_id=7737 |date=March 19, 2011 }}"
5. ^S.J. Gates, Jr., and T. Hubsch, "[https://arxiv.org/abs/1104.0722 On Dimensional Extension of Supersymmetry: From Worldlines to Worldsheets]"
6. ^https://www.arxiv.org/pdf/1111.6055.pdf
7. ^[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]

External links

  • http://golem.ph.utexas.edu/category/2007/08/adinkras.html
  • https://www.flickr.com/photos/science_and_thecity/2796684536/
  • https://www.flickr.com/photos/science_and_thecity/2795836787/
  • http://www.thegreatcourses.com/courses/superstring-theory-the-dna-of-reality.html
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1 : Supersymmetry

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