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U-Duality and the Leech Lattice
Rios, Michael...
U-Duality and the Leech Lattice by Rios, Michael ( Author )
Australian National University
25-08-2023
It has recently been shown that the full automorphism group of the Leech lattice, Conway's group Co_0, can be generated by 3 x 3 matrices over the octonions. We show such matrices are of type F_4 in E_{6(-26)}, the U-duality group for N=2, D=5 exceptional magic supergravity. By mapping points of the Leech lattice to black hole charge vectors, it is seen Co_0 is generated by U-duality transformations acting as rotations in the charge space for BPS black holes.
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Article
pdf
29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1307.1554
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