Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: U-Duality and the Leech Lattice   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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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con