Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Frozen   We revisit the duality between ALE singularities in M-theory and 7-branes on
a circle in F-theory. We see that a frozen M-theory singularity maps to a
circle compactification involving a rotation of the plane transverse to the
7-brane, showing an interesting correspondence between commuting triples in
simply-laced groups and Kodaira's classification of singular elliptic
fibrations. Our analysis strongly suggests that the O7+ plane is the only
completely frozen F-theory singularity.

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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio