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M-Theory Dynamics On A Manifold Of G_2 Holonomy

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arxiv hep-th/0107177 v3 pith:GHAR5PUM submitted 2001-07-20 hep-th

Michael Atiyah , Edward Witten This is my paper · ORCID
classification hep-th
keywords dynamicsargueholonomym-theorymanifoldspacetimesthreeanalyze
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We analyze the dynamics of M-theory on a manifold of G_2 holonomy that is developing a conical singularity. The known cases involve a cone on CP^3, where we argue that the dynamics involves restoration of a global symmetry, SU(3)/U(1)^2, where we argue that there are phase transitions among three possible branches corresponding to three classical spacetimes, and S^3 x S^3 and its quotients, where we recover and extend previous results about smooth continuations between different spacetimes and relations to four-dimensional gauge theory.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 352 citations worldwide. Full citation record

  1. (-1)-form symmetries from M-theory and SymTFTs

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    A systematic M-theory construction of SymTFTs for discrete and continuous (-1)-form symmetries, with a new 4-group structure in 4d N=1 SYM from G2 manifolds.

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    Pedagogical crash-course notes on supersymmetric field theory across 2–10 dimensions, organized around recurring structures such as holomorphy, dualities, indices, BPS data, and anomalies.

  3. Kaluza-Klein Supergravity 2025

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    This invited review recounts the S7 compactifications of eleven-dimensional supergravity and summarises recent spectral results, including a speculative singleton Higgs mechanism.

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