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The refined topological vertex

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Published 26 October 2009 • Published under licence by IOP Publishing Ltd
, , Citation Amer Iqbal et al JHEP10(2009)069 DOI 10.1088/1126-6708/2009/10/069

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Author affiliations

1 Department of Physics, LUMS School of Science & Engineering, Sector U, D.H.A, Lahore, Pakistan

2 Department of Physics, University of Washington, 3910 15th Ave. NE, WA 98195, Seattle, U.S.A.

3 Jefferson Physical Laboratory, Harvard University, 17 Oxford Street, MA 02138, Cambridge, U.S.A.

4 Center for Theoretical Physics, Massachusetts Institute of Technology, 77 Massachusetts Ave, MA 02139, Cambridge, U.S.A.

Dates

  1. Received 11 September 2009
  2. Accepted 28 September 2009
  3. Published

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1126-6708/2009/10/069

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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10.1088/1126-6708/2009/10/069