M-Theory Dynamics On A Manifold Of G_2 Holonomy
High Energy Physics - Theory
2010-04-07 v3
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.
Cite
@article{arxiv.hep-th/0107177,
title = {M-Theory Dynamics On A Manifold Of G_2 Holonomy},
author = {Michael Atiyah and Edward Witten},
journal= {arXiv preprint arXiv:hep-th/0107177},
year = {2010}
}
Comments
100 pp, additional references and minor corrections