Refined Topological Vertex and Instanton Counting
By Masato Taki. 2007
154 citations recorded by the source corpus.
It has been proposed recently that topological A-model string amplitudes for toric Calabi-Yau 3-folds in non self-dual graviphoton background can be caluculated by a diagrammatic method that is called the ``refined topological vertex''. We compute the extended A-model amplitudes for SU(N)-geometries using the proposed vertex. If the refined topological vertex is valid, these computations should give rise to the Nekrasov's partition functions of = 2 SU(N) gauge theories via the geometric engineering. In this article, we verify the proposal by confirming the equivalence between the refined A-model amplitude and the K-theoretic version of the Nekrasov's partition function by explicit computation.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/5b12eae6c4f9e7b85193e0e23a4698243224ed94
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Citations in the corpus
- Non-Lagrangian theories from brane junctions (2013, methodology): “We also compute the Nekrasov partition functions of the TN junctions as refined topological string partition functions [51, 52].”
- A& B model approaches to surface operators and Toda thoeries (2010, methodology): “The refined topological string partition function agrees with the 5d instanton partition function with unconstrained ǫ1,2 [12, 19, 20].”
- REFINED BPS STATE COUNTING FROM NEKRASOV'S FORMULA AND MACDONALD FUNCTIONS (2008, background): “Finally fλ (q, t) := (−1)|λ|q ||λ||2 2 t− ||λ∨||2 2 is the framing factor proposed recently by Taki [16].”