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arXiv · 1301.4176

A magic square from Yang-Mills squared

L. Borsten·M. J. Duff·L. J. Hughes·S. Nagy
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Abstract

We give a unified description of D = 3 super-Yang-Mills theory with N = 1, 2, 4, and 8 supersymmeties in terms of the four division algebras: reals (R), complexes (C), quaternions (H) and octonions (O). Tensoring left and right super-Yang-Mills multiplets with N = 1, 2, 4, 8 we obtain a magic square RR, CR, CC, HR, HC, HH, OR, OC, OH, OO description of D = 3 supergravity with N = 2, 3, 4, 5, 6, 8, 9, 10, 12, 16.

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L. Borsten, M. J. Duff, L. J. Hughes, S. Nagy. 2015-01-07. A magic square from Yang-Mills squared. https://doi.org/10.1103/physrevlett.112.131601

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