The Topological Vertex
Authors:
Preprint
Abstract
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.Keywords
All Related Versions
This publication has 28 references indexed in Scilit:
- All Loop Topological String Amplitudes from Chern-Simons TheoryCommunications in Mathematical Physics, 2004
- On link invariants and topological string amplitudesNuclear Physics B, 2001
- Knots, links and branes at large NJournal of High Energy Physics, 2000
- Kodaira-Spencer theory of gravity and exact results for quantum string amplitudesCommunications in Mathematical Physics, 1994
- Calabi-Yau moduli space, mirror manifolds and spacetime topology change in string theoryNuclear Physics B, 1994
- Topological amplitudes in string theoryNuclear Physics B, 1994
- Quantum field theory and the Jones polynomialCommunications in Mathematical Physics, 1989
- Fusion rules and modular transformations in 2D conformal field theoryNuclear Physics B, 1988
- Operator formulation on Riemann surfacesPhysics Letters B, 1987
- Calibrated geometriesActa Mathematica, 1982