Chern-Simons: Fano and Calabi-Yau

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

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Cited by in corpus (7)

• Free Energy vs Sasaki-Einstein Volume for Infinite Families of M2-Brane Theories
• Wilson loops and the geometry of matrix models in AdS_4/CFT_3
• Black hole microstates and supersymmetric localization
• On nonsupersymmetric $\BC^4/\BZ_N$, tachyons, terminal singularities and flips
• M2-branes Theories without 3+1 Dimensional Parents via Un-Higgsing
• Some Open Questions in Quiver Gauge Theory
• Large-$N$ Free Energy of Chiral $\mathcal{N}=2$ Chern-Simons-Matter Theories