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The Refined Topological Vertex

Amer Iqbal·Can Kozcaz·Cumrun Vafa
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Abstract

We define a refined topological vertex which depends in addition on a parameter, which physically corresponds to extending the self-dual graviphoton field strength to a more general configuration. Using this refined topological vertex we compute, using geometric engineering, a two-parameter (equivariant) instanton expansion of gauge theories which reproduce the results of Nekrasov. The refined vertex is also expected to be related to Khovanov knot invariants.

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Amer Iqbal, Can Kozcaz, Cumrun Vafa. 2009-03-12. The Refined Topological Vertex. https://doi.org/10.1088/1126-6708%2F2009%2F10%2F069

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