Macdonald topological vertices and brane condensates

TL;DR

This paper demonstrates that Macdonald $qt$-deformations of topological string partition functions can be equivalently described by un-deformed functions with brane condensates, which induce geometric transitions.

Contribution

It establishes a correspondence between Macdonald $qt$-deformations and brane condensates in topological string theory, revealing a new geometric interpretation.

Findings

Macdonald $qt$-deformations are equivalent to brane condensates.

Brane condensates induce geometric transitions.

Simplifies understanding of deformed topological string partition functions.

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.