A-D-E quivers and baryonic operators

DOI number:10.1088/1126-6708/2008/01/010

Journal:Journal of High Energy Physics

Abstract: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.

Note:The preprint version is available at https://arxiv.org/abs/0709.0348

Co-author:Yuji Tachikawa,Futoshi Yagi

Indexed by:SCI

Discipline:Science

Volume:01(2008)

Issue:010

Translation or Not:no

Date of Publication:2008-01-04

Included Journals:SCI

Links to published journals:https://doi.org/10.1088/1126-6708/2008/01/010