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Advances in High Energy Physics
Volume 2013, Article ID 295842, 10 pages
Research Article

Partial Resolution of Complex Cones over Fano

Department of Physics, Indian Institute of Technology Bombay, Mumbai 400076, India

Received 8 February 2013; Revised 17 April 2013; Accepted 18 April 2013

Academic Editor: George Siopsis

Copyright © 2013 Siddharth Dwivedi and P. Ramadevi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In our recent paper, we systematized an inverse algorithm to obtain quiver gauge theory living on the -branes probing the singularities of a special kind of Calabi-Yau fourfold which were complex cones over toric Fano , , , . These quiver gauge theories cannot be given a dimer tiling presentation. We use the method of partial resolution to show that the toric data of and Fano can be embedded inside the toric data of Fano theories. This method indirectly justifies that the two-node quiver Chern-Simons theories corresponding to , Fano , and their orbifolds can be obtained by higgsing matter fields of the three-node parent quiver corresponding to Fano , , , threefold.