Macdonald topological vertices and brane condensates

Abstract

We show, in a number of simple examples, that Macdonald-type $qt$-deformations of topological string partition functions are equivalent to topological string partition functions that are without $qt$-deformations but with brane condensates, and that these brane condensates lead to geometric transitions.

23 pages, 5 figures. v2: minor changes, published version

References in corpus (6)

• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• The Refined Topological Vertex
• Surface Operator, Bubbling Calabi-Yau and AGT Relation
• D-branes as a Bubbling Calabi-Yau
• An elliptic topological vertex
• Refined Topological Branes

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• Web Construction of ABCDEFG and Affine Quiver Gauge Theories
• An elliptic topological vertex
• Cut-and-join operators and Macdonald polynomials from the 3-Schur functions
• Engineering 3D $\mathcal{N}=2$ theories using the quantum affine $\mathfrak{sl}(2)$ algebra
• Gauge origami and quiver W-algebras IV: Pandharipande--Thomas $qq$-characters
• Coloured refined topological vertices and parafermion conformal field theories
• Intertwining operator and integrable hierarchies from topological strings