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Operator Product Formulas in the Algebraic Approach of the Refined Topological Vertex |
| CAI Li-Qiang, WANG Li-Fang**, WU Ke, YANG Jie |
School of Mathematical Sciences, Capital Normal University, Beijing 100048
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| Cite this article: |
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CAI Li-Qiang, WANG Li-Fang, WU Ke et al 2013 Chin. Phys. Lett. 30 020306 |
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Abstract The refined topological vertex of Iqbal–Koz?az–Vafa has been investigated from the viewpoint of the quantum algebra of type W1+∞ by Awata, Feigin, and Shiraishi. They introduced the trivalent intertwining operator ? which is normal ordered along with some prefactors. We manage to establish formulas from the infinite operator product of the vertex operators and the generalized ones to restore this prefactor, and obtain an explicit formula for the vertex realization of the topological vertex as well as the refined topological vertex.
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Received: 26 October 2012
Published: 02 March 2013
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| PACS: |
03.70.+k
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(Theory of quantized fields)
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11.25.Hf
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(Conformal field theory, algebraic structures)
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02.10.Ox
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(Combinatorics; graph theory)
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