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تسجيل مستخدم جديدThe Mile High Magic Pyramid
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Using a unified formulation of $mathcal{N} = 1, 2, 4, 8$, super Yang-Mills theories in $D = 3$ spacetime dimensions with fields valued respectively in $mathbb{R, C, H, O}$, it was shown that tensoring left and right multiplets yields a Freudenthal magic square of $D = 3$ supergravities. When tied in with the more familiar $mathbb{R, C, H, O}$ description of super Yang-Mills in $D = 3, 4, 6, 10$ this results in a magic pyramid of supergravities: the known $4 times 4$ magic square at the base in $D=3$, a $3times 3$ square in $D=4$, a $2 times 2$ square in $D=6$ and Type II supergravity at the apex in $D=10$.
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By formulating N = 1, 2, 4, 8, D = 3, Yang-Mills with a single Lagrangian and single set of transformation rules, but with fields valued respectively in R,C,H,O, it was recently shown that tensoring left and right multiplets yields a Freudenthal-Rose
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