The Topological Vertex

Details The Topological Vertex The Topological Vertex

2003-05-15

arxiv.org/abs/hep-th/0305132v3

Commun.Math.Phys. 254 (2005) 425-478

Physics

High Energy Physics

High Energy Physics - Theory

70 pages, 16 figures, harvmac

Scientific paper

10.1007/s00220-004-1162-z

We construct a cubic field theory which provides all genus amplitudes of the topological A-model for all non-compact Calabi-Yau toric threefolds. The topology of a given Feynman diagram encodes the topology of a fixed Calabi-Yau, with Schwinger parameters playing the role of Kahler classes of Calabi-Yau. We interpret this result as an operatorial computation of the amplitudes in the B-model mirror which is the Kodaira-Spencer quantum theory. The only degree of freedom of this theory is an unconventional chiral scalar on a Riemann surface. In this setup we identify the B-branes on the mirror Riemann surface as fermions related to the chiral boson by bosonization.

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