M-theory dynamics on a manifold of g2 holonomy

Michael Atiyah; Edward Witten

doi:10.4310/ATMP.2002.v6.n1.a1

M-theory dynamics on a manifold of g₂ holonomy

Michael Atiyah, Edward Witten

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194 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 language	English (US)
Pages (from-to)	1-106
Number of pages	106
Journal	Advances in Theoretical and Mathematical Physics
Volume	6
Issue number	1
DOIs	https://doi.org/10.4310/ATMP.2002.v6.n1.a1
State	Published - Jan 2002
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics
General Physics and Astronomy

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AB - 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.

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M-theory dynamics on a manifold of g₂ holonomy

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