Abstract
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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ArXiv ePrint: 1508.06679
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Tachikawa, Y. Frozen singularities in M and F theory. J. High Energ. Phys. 2016, 128 (2016). https://doi.org/10.1007/JHEP06(2016)128
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DOI: https://doi.org/10.1007/JHEP06(2016)128