Phase space polarization and the topological string: a case study

TL;DR

This paper explores the relationship between target space and worldsheet descriptions of open topological strings on the conifold, focusing on phase space, polarization, and the effects of canonical transformations.

Contribution

It introduces a map linking polarization choices to worldsheet descriptions and analyzes how the partition function behaves under canonical transformations.

Findings

Established a correspondence between polarization choices and worldsheet formulations.

Analyzed the impact of canonical transformations on the topological string partition function.

Provided insights into the phase space structure of the open topological string on the conifold.

Abstract

We review and elaborate on our discussion in hep-th/0606112 on the interplay between the target space and the worldsheet description of the open topological string partition function, for the example of the conifold. We discuss the appropriate phase space and canonical form for the system. We find a map between choices of polarization and the worldsheet description, based on which we study the behavior of the partition function under canonical transformations.