M-Theory Dynamics On A Manifold Of G_2 Holonomy

Michael Atiyah; Edward Witten

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arXiv · hep-th/0107177

M-Theory Dynamics On A Manifold Of G_2 Holonomy

Michael Atiyah·Edward Witten

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Abstract

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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Michael Atiyah, Edward Witten. 2002-01-01. M-Theory Dynamics On A Manifold Of G_2 Holonomy. https://arxiv.org/abs/hep-th/0107177

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