Brane Tilings, M2-branes and Chern-Simons Theories

Details Brane Tilings, M2-branes and Chern-Simons Theories Brane Tilings, M2-branes and Chern-Simons Theories

2009-10-26

arxiv.org/abs/0910.4962v1

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 17 figures, Contribution at the 49th Cracow School of Theoretical Physics, Zakopane, Poland, May 31 - June 10, 2009

Scientific paper

We investigate (2+1)-dimensional quiver Chern-Simons theories that arise from the study of M2-branes probing toric Calabi-Yau 4-folds. These theories can be elegantly described using brane tilings. We present several theories that admit a tiling description and give details of these theories including the toric data of their mesonic moduli space and the structure of both their Master space and baryonic moduli space. Where different toric phases are known, we exhibit the equivalence between the vacua. We identify some of the mesonic moduli spaces as cones over smooth toric Fano 3-folds.

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