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Chern-Simons: Fano and Calabi-Yau

arXiv:0904.1847 · doi:10.1155/2011/204576

Abstract

We present the complete classification of smooth toric Fano threefolds, known to the algebraic geometry literature, and perform some preliminary analyses in the context of brane-tilings and Chern-Simons theory on M2-branes probing Calabi-Yau fourfold singularities. We emphasise that these 18 spaces should be as intensely studied as their well-known counter-parts: the del Pezzo surfaces.

20 pages, 4 figures