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arxiv hep-th/0305132 v3 pith:DGKKYED4 submitted 2003-05-15 hep-th math.AG

The Topological Vertex

Mina Aganagic , Albrecht Klemm , Marcos Marino , Cumrun Vafa This is my paper
classification hep-th math.AG
keywords calabi-yautheoryamplitudeschiralmirrorriemannsurfacetopological
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 4 Pith papers

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