From topological strings to minimal models

Abstract

We glue four refined topological vertices to obtain the building block of 5D $U(2)$ quiver instanton partition functions. We take the 4D limit of the result to obtain the building block of 4D instanton partition functions which, using the AGT correspondence, are identified with Virasoro conformal blocks. We show that there is a choice of the parameters of the topological vertices that we start with, as well as the parameters and the intermediate states involved in the gluing procedure, such that we obtain Virasoro minimal model conformal blocks.

23 pages, improved the presentation, added introductory material, etc

References in corpus (4)

• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• The Refined Topological Vertex
• Fiber-Base Duality and Global Symmetry Enhancement
• Conformal blocks of W_N Minimal Models and AGT correspondence

Cited by in corpus (5)

• A slow review of the AGT correspondence
• AGT, N-Burge partitions and W_N minimal models
• Cylindric partitions, W_r characters and the Andrews-Gordon-Bressoud identities
• A Macdonald refined topological vertex
• Dessins d'Enfants, Seiberg-Witten Curves and Conformal Blocks