M-theory dynamics on a manifold of g2 holonomy

Michael Atiyah, Edward Witten

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182 Scopus citations

Abstract

We analyze the dynamics of M-theory on a manifold of G2 holonomy that is developing a conical singularity. The known cases involve a cone on CP3, 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 S3 × S3 and its quotients, where we recover and extend previous results about smooth continuations between different spacetimes and relations to four-dimensional gauge theory.

Original languageEnglish (US)
Pages (from-to)1-106
Number of pages106
JournalAdvances in Theoretical and Mathematical Physics
Volume6
Issue number1
DOIs
StatePublished - Jan 2002
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Physics and Astronomy(all)

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