On Chern-Simons Quivers and Toric Geometry

Details On Chern-Simons Quivers and Toric Geometry On Chern-Simons Quivers and Toric Geometry

2011-06-27

arxiv.org/abs/1106.5335v1

Physics

High Energy Physics

High Energy Physics - Theory

14pg, 1 Figure, latex

Scientific paper

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.

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