Gauge theory in dimension $7$

Details Gauge theory in dimension $7$ Gauge theory in dimension $7$

2010-12-29

arxiv.org/abs/1012.5912v1

de Andr\'es, Luis Carlos (ed.) et al., Special metrics and supersymmetry. Bilbao, Spain, 29-31 May 2008. AIP Conference Procee

Mathematics

Differential Geometry

15 pages

Scientific paper

We first review the notion of a $G_2$-manifold, defined in terms of a principal $G_2$ ("gauge") bundle over a $7$-dimensional manifold, before discussing their relation to supergravity. In a second thread, we focus on associative submanifolds and present their deformation theory. In particular, we elaborate on a deformation problem with coassociative boundary condition. Its space of infinitesimal deformations can be identified with the solution space of an elliptic equation whose index is given by a topological formula.

Affiliated with

Also associated with

No associations

Rating

Gauge theory in dimension $7$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Gauge theory in dimension $7$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gauge theory in dimension $7$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-610628