The Refined Topological Vertex

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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70 Pages, 23 Figures

Scientific paper

10.1088/1126-6708/2009/10/069

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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