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A magic square from Yang-Mills squared

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arxiv 1301.4176 v3 pith:KZB47K45 submitted 2013-01-17 hep-th math.RA

classification hep-thmath.RA
keywords descriptionmagicsquaresuper-yang-millsalgebrascomplexesdivisionfour
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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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  1. UV considerations on scattering amplitudes in a web of theories

    hep-th 2019-08 conditional novelty 6.0 of 10

    Tree-level amplitudes in a web of effective field theories are uniquely fixed by locality plus novel single-hard UV scaling constraints, with unitarity emerging in many cases.

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