Publication: The Topological Vertex
Loading...
Open/View Files
Date
2004
Published Version
Journal Title
Journal ISSN
Volume Title
Publisher
Springer (part of Springer Nature)
The Harvard community has made this article openly available. Please share how this access benefits you.
Citation
Aganagic, Mina, Albrecht Klemm, Marcos Mari�o, and Cumrun Vafa. 2004. “The Topological Vertex.” Communications in Mathematical Physics 254 (2): 425–78. https://doi.org/10.1007/s00220-004-1162-z.
Abstract
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.
Description
Other Available Sources
Research Data
Keywords
Terms of Use
This article is made available under the terms and conditions applicable to Other Posted Material (LAA), as set forth at Terms of Service