M2-brane Probe Dynamics and Toric Duality

Details M2-brane Probe Dynamics and Toric Duality M2-brane Probe Dynamics and Toric Duality

2007-05-24

arxiv.org/abs/0705.3540v2

Nucl.Phys.B797:340-370,2008

Physics

High Energy Physics

High Energy Physics - Theory

50 pages, 24 figures; v2. title changed, abstract and introduction clarified. to appear in Nucl.Phys.B

Scientific paper

10.1016/j.nuclphysb.2008.01.012

We study the dynamics of a single M2-brane probing toric Calabi-Yau four-fold singularity in the context of the recently proposed M-theory crystal model of AdS4/CFT3 dual pairs. We obtain an effective abelian gauge theory in which the charges of the matter fields are given by the intersection numbers between loops and faces in the crystal. We argue that the probe theory captures certain aspects of the CFT3 even though the true M2-brane CFT is unlikely to be a usual gauge theory. In particular, the moduli space of vacua of the gauge theory coincides precisely with the Calabi-Yau singularity. Toric duality, partial resolution, and a possibility of new RG flows are also discussed.

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