Partial Resolution of Complex Cones over Fano ℬ
In our recent paper, we systematized an inverse algorithm to obtain quiver gauge theory living on the M2-branes probing the singularities of a special kind of Calabi-Yau fourfold which were complex cones over toric Fano ℙ3, ℬ1, ℬ2, ℬ3. These quiver gauge theories cannot be given a dimer tiling prese...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/295842 |
| Summary: | In our recent paper, we systematized an inverse algorithm to obtain quiver gauge theory living on the M2-branes probing the singularities of a special kind of Calabi-Yau fourfold which were complex cones over toric Fano ℙ3, ℬ1, ℬ2, ℬ3. 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 ℂ4 and Fano ℙ3 can be embedded inside the toric data of Fano ℬ theories. This method indirectly justifies that the two-node quiver Chern-Simons theories corresponding to ℂ4, Fano ℙ3, and their orbifolds can be obtained by higgsing matter fields of the three-node parent quiver corresponding to Fano ℬ1, ℬ2, ℬ3, ℬ4 threefold. |
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| ISSN: | 1687-7357 1687-7365 |