Inverse algorithm and M2-brane theories

Abstract

Recent paper arXiv:1103.0553 studied the quiver gauge theories on coincident $M2$ branes on a singular toric Calabi-Yau 4-folds which are complex cone over toric Fano 3-folds. There are 18 toric Fano manifolds but only 14 toric Fano were obtained from the forward algorithm. We attempt to systematize the inverse algorithm which helps in obtaining quiver gauge theories on $M2$-branes from the toric data of the Calabi-Yau 4-folds. In particular, we obtain quiver gauge theories on coincident $M2$-branes corresponding to the remaining 4 toric Fano 3-folds. We observe that these quiver gauge theories cannot be given a dimer tiling presentation.

JHEP format 1+26 pages, 4 figures, minor corrections, to appear in JHEP

References in corpus (9)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Algebraic structures on parallel M2-branes
• Comments on the Bagger-Lambert theory and multiple M2-branes
• Brane Tilings and M2 Branes
• Towards M2-brane Theories for Generic Toric Singularities
• Dimers and Orientifolds
• Toric Calabi-Yau four-folds dual to Chern-Simons-matter theories
• Phases of M2-brane Theories
• M2-Branes and Fano 3-folds

Cited by in corpus (4)

• Is toric duality a Seiberg-like duality in (2+1)-d ?
• On the Higgsing and UnHiggsing of Fano 3-Folds
• Partial resolution of complex cones over Fano $\mathcal{B}$
• Embedding and partial resolution of complex cones over Fano threefolds