On Chern-Simons Quivers and Toric Geometry
High Energy Physics - Theory
2012-10-25 v1
Abstract
We discuss a class of 3-dimensional N=4 Chern-Simons (CS) quiver gauge models obtained from M-theory compactifications on singular complex 4-dimensional hyper-Kahler (HK) manifolds, which are realized explicitly as a cotangent bundle over two-Fano toric varieties V^2. The corresponding CS gauge models are encoded in quivers similar to toric diagrams of V^2. Using toric geometry, it is shown that the constraints on CS levels can be related to toric equations determining V^2.
Cite
@article{arxiv.1106.5335,
title = {On Chern-Simons Quivers and Toric Geometry},
author = {Adil Belhaj and Pablo Diaz and Maria Pilar Garcia del Moral and Antonio Segui},
journal= {arXiv preprint arXiv:1106.5335},
year = {2012}
}
Comments
14pg, 1 Figure, latex