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arXiv:1108.4124hep-th

Codes and Supersymmetry in One Dimension

C. F. Doran, M. G. Faux, S. J. Gates, T. Hübsch, K. M. Iga, G. D. Landweber, R. L. Miller

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Abstract

Adinkras are diagrams that describe many useful supermultiplets in D=1 dimensions. We show that the topology of the Adinkra is uniquely determined by a doubly even code. Conversely, every doubly even code produces a possible topology of an Adinkra. A computation of doubly even codes results in an enumeration of these Adinkra topologies up to N=28, and for minimal supermultiplets, up to N=32.

arXiv comments
48 pages, a new version that combines arXiv:0811.3410 and parts of arXiv:0806.0050, for submission for publication
Journal reference
Adv. in Th. Math. Phys. 15 (2011) 1909-1970
DOI
doi:10.4310/ATMP.2011.v15.n6.a7
Subjects
hep-thHigh Energy Physics, Theory math-phMathematical Physics

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    • It's not quite as spectacular as it sounds[1]. I've not read the paper, but it seems as if they've just found a convenient way to describe supermultiplets in 1D using doubly even codes[2]. [1] http://arxiv.org/abs/1108.4124 [2] http://planetmath.org/evencode

      kdavisView on HNParent context

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