Frozen

2015/08/26 by Yuji Tachikawa, Tachikawa, Yuji · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #Geometric and Algebraic Topology #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #hep-th

paper · pdf · doi:10.48550/arxiv.1508.06679

1+8 pages; v2: minor corrections and improvements in Sec. 2

openalex publication_date 2015/08/26 · arxiv created 2017/04/21 · arxiv updated 2017/04/24 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

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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