Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-03-22
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 22 pages, one figure. Several improvements (title, section 4) added in reponse to the referee's comments, references ad
Scientific paper
10.1088/0305-4470/37/18/011
Using a reformulation of the method of (p,q) webs, we study the four-dimensional N=1 quiver theories from M-theory on seven-dimensional manifolds with G_2 holonomy. We first construct such manifolds as U(1) quotients of eight-dimensional toric hyper-K\"ahler manifolds, using N=4 supersymmetric sigma models. We show that these geometries, in general, are given by real cones on \bf S^2 bundles over complex two-dimensional toric varieties, \cal \bf V^2= {{\bf C}^{r+2}/ {{\bf C}^*}^r}. Then we discuss the connection between the physics content of M-theory on such G_2 manifolds and the method of (p,q) webs. Motivated by a result of Acharya and Witten [hep-th/0109152], we reformulate the method of $(p,q)$ webs and reconsider the derivation of the gauge theories using toric geometry Mori vectors of \cal \bf V^2 and brane charge constraints. For {\bf WP^2}_{w_1,w_2, w_3}, we find that the gauge group is given by G=U(w_1n)\times U(w_2n)\times U(w_3n). This is required by the anomaly cancellation condition.
No associations
LandOfFree
M-theory on G_2 manifolds and the method of (p,q) brane webs 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 M-theory on G_2 manifolds and the method of (p,q) brane webs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and M-theory on G_2 manifolds and the method of (p,q) brane webs will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-108197