Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Squaring the Magic   We construct and classify all possible Magic Squares (MS's) related to
Euclidean or Lorentzian rank-3 simple Jordan algebras, both on normed division
algebras and split composition algebras. Besides the known
Freudenthal-Rozenfeld-Tits MS, the single-split G\"unaydin-Sierra-Townsend MS,
and the double-split Barton-Sudbery MS, we obtain other 7 Euclidean and 10
Lorentzian novel MS's. We elucidate the role and the meaning of the various
non-compact real forms of Lie algebras, entering the MS's as symmetries of
theories of Einstein-Maxwell gravity coupled to non-linear sigma models of
scalar fields, possibly endowed with local supersymmetry, in D = 3, 4 and 5
space-time dimensions. In particular, such symmetries can be recognized as the
U-dualities or the stabilizers of scalar manifolds within space-time with
standard Lorentzian signature or with other, more exotic signatures, also
relevant to suitable compactifications of the so-called M*- and M'- theories.
Symmetries pertaining to some attractor U-orbits of magic supergravities in
Lorentzian space-time also arise in this framework.

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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: stat