Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-07-20
Adv.Theor.Math.Phys.6:1-106,2003
Physics
High Energy Physics
High Energy Physics - Theory
100 pp, additional references and minor corrections
Scientific paper
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.
Atiyah Michael
Witten Edward
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