A-D-E Quivers and Baryonic Operators

Details A-D-E Quivers and Baryonic Operators A-D-E Quivers and Baryonic Operators

2007-09-04

arxiv.org/abs/0709.0348v2

JHEP 0801:010,2008

Physics

High Energy Physics

High Energy Physics - Theory

46 pages, 17 figures; v2: minor corrections, note added in section 1, references added

Scientific paper

10.1088/1126-6708/2008/01/010

We study baryonic operators of the gauge theory on multiple D3-branes at the tip of the conifold orbifolded by a discrete subgroup Gamma of SU(2). The string theory analysis predicts that the number and the order of the fixed points of Gamma acting on S^2 are directly reflected in the spectrum of baryonic operators on the corresponding quiver gauge theory constructed from two Dynkin diagrams of the corresponding type. We confirm the prediction by developing techniques to enumerate baryonic operators of the quiver gauge theory which includes the gauge groups with different ranks. We also find that the Seiberg dualities act on the baryonic operators in a non-Abelian fashion.

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