English

The Refined Topological Vertex

High Energy Physics - Theory 2009-11-05 v2

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.

Keywords

Cite

@article{arxiv.hep-th/0701156,
  title  = {The Refined Topological Vertex},
  author = {Amer Iqbal and Can Kozcaz and Cumrun Vafa},
  journal= {arXiv preprint arXiv:hep-th/0701156},
  year   = {2009}
}

Comments

70 Pages, 23 Figures

R2 v1 2026-07-22T15:40:27.449Z