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One approach to the representation theory of super Lie algebras is to restrict attention to representations in one space-time dimension and having
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superalgebras. In that case, the defining algebraic relationship among the supersymmetry generators reduces to
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Faux, M.; Gates, S. J. (2005). "Adinkras: A graphical technology for supersymmetric representation theory".
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denotes partial differentiation along the single space-time coordinate. One simple realization of the
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Since we have just one supersymmetry generator in this case, the superalgebra relation reduces to
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On
Dimensional Extension of Supersymmetry: From Worldlines to Worldsheets
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Symbols of Power, Physics World, Vol. 23, No 6, June 2010, pp. 34 - 39"
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46:. Mathematically they can be described as colored finite connected
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208:{\displaystyle \{Q_{I},Q_{J}\}=2i\delta _{IJ}\partial _{\tau }}
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Graphical representation of supersymmetric algebras
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549:Superstring Theory: The DNA of Reality
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313:{\displaystyle \psi }
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67:Sylvester James Gates
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29:supergravity
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627:1111.6055
449:τ
445:∂
404:ϕ
399:τ
395:∂
388:ψ
363:ψ
354:ϕ
308:ψ
288:ϕ
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228:∂
201:τ
197:∂
184:δ
52:bipartite
591:Archived
572:Archived
552:Archived
535:18179363
467:See also
73:Overview
59:-regular
515:Bibcode
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680:This
622:arXiv
531:S2CID
505:arXiv
219:Here
686:stub
54:and
31:and
523:doi
27:In
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