The Topological Vertex
高能物理 - 理论
2009-11-10 v3 代数几何
摘要
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.
引用
@article{arxiv.hep-th/0305132,
title = {The Topological Vertex},
author = {Mina Aganagic and Albrecht Klemm and Marcos Marino and Cumrun Vafa},
journal= {arXiv preprint arXiv:hep-th/0305132},
year = {2009}
}
备注
70 pages, 16 figures, harvmac