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  A review of geometry of $G_2$ holonomy 7-folds

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It is know that in order to have ${\cal N}=1$ 4D compactification of M-theory or 11D SUGRA, one has to take the internal space to be a manifold of $G_2$ holonomy. Moreover, such manifolds are considered as possible target spaces of Topological M-theory.

Could anybody recommend a review of geometry and topology of 7-folds of $G_2$ holonomy? I am a physicist, so the reviews written by physicist or at least for physicists are most welcome.

asked Apr 6, 2017 in Theoretical Physics by Andrey Feldman (715 points) [ revision history ]
edited Apr 6, 2017 by Andrey Feldman

1 Answer

+ 1 like - 0 dislike

This here is good;

answered Apr 6, 2017 by Urs Schreiber (5,900 points) [ revision history ]

Thanks, but the discussion there is very sketchy. Do you know of any more detailed introductions?

There are detailed discussions in the mathematical literature.But the "reviews written by physicist or at least for physicists" that you ask for are all at least this sketchy.

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