The topological vertex

被引：472

作者：

Aganagic, M ^{[1
]}

Klemm, A

Mariño, M

Vafa, C

机构：

[1] Harvard Univ, Jefferson Phys Lab, Cambridge, MA 02138 USA

[2] Humboldt Univ, Inst Phys, D-10115 Berlin, Germany

[3] CERN, Div Theory, CH-1211 Geneva 23, Switzerland

[4] CALTECH, Pasadena, CA 91125 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2005年 / 254卷 / 02期

基金：

英国科研创新办公室; 美国国家科学基金会;

关键词：

D O I：

10.1007/s00220-004-1162-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct a cubic field theory which provides all genus amplitudes of the topological A-model for all non-compact toric Calabi-Yau 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 the threefold. We interpret this result as an operatorial computation of the amplitudes in the B-model mirror which is the quantum Kodaira-Spencer 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

页码：425 / 478

页数：54

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