Chern-Simons: Fano and Calabi-Yau

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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20 pages, 4 figures

Scientific paper

10.1155/2011/204576

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.

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