Vertex Operators, ℂ³ Curve and Topological Vertex

2014/03/02 by Jian-Feng Wu, Jie Yang, Wu, Jian-Feng +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1403.0181

28 pages, 2 figures

arxiv created 2014/03/02 · arxiv updated 2014/03/04

Abstract

In this article, we prove the conjecture that Kodaira-Spencer theory for the topological vertex is a free fermion theory. By dividing the ℂ³ curve into core and asymptotic regions and using Boson-Fermion correspondence, we construct a generic three-leg correlation function which reformulates the topological vertex in a vertex operator approach. We propose a conjecture of the correlation function identity which in a degenerate case becomes Zhou\rqs identity for a Hopf link.

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