Manifolds of G_2 Holonomy from N=4 Sigma Model
| dc.creator | Belhaj, Adil | |
| dc.date | 2002-01-20 | |
| dc.date | 2002-10-01 | |
| dc.date.accessioned | 2026-07-07T10:53:45Z | |
| dc.date.available | 2026-07-07T10:53:45Z | |
| dc.description | Using two dimensional (2D) N=4 sigma model, with $U(1)^r$ gauge symmetry, and introducing the ADE Cartan matrices as gauge matrix charges, we build " toric" hyper-Kahler eight real dimensional manifolds X_8. Dividing by one toric geometry circle action of X_8 manifolds, we present examples describing quotients $X_7={X_8\over U(1)}$ of G_2 holonomy. In particular, for the A_r Cartan matrix, the quotient space is a cone on a $ {S^2}$ bundle over r intersecting $\bf WCP^2_{(1,2,1)}$ projective spaces according to the A_r Dynkin diagram. | |
| dc.description | Latex, 14 pages. Some comments are added,typos fixed. One reference added [17]. Final version accepted for publication in the J. Phys.A: Math.Gen.35(2002) | |
| dc.identifier | https://arxiv.org/abs/hep-th/0201155 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0201155 | |
| dc.identifier | J.Phys.A35:8903-8912,2002 | |
| dc.identifier | doi:10.1088/0305-4470/35/42/302 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/185587 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Manifolds of G_2 Holonomy from N=4 Sigma Model | |
| dc.type | text |