Magic square from yang-mills squared

L. Borsten, M. J. Duff, L. J. Hughes, S. Nagy

Research output: Contribution to journalArticlepeer-review

38 Citations (Scopus)


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.

Original languageEnglish
Article number131601
JournalPhysical Review Letters
Issue number13
Publication statusPublished - 4 Apr 2014


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