Groupoids and Poisson sigma models with boundary

TL;DR

This paper explores how symplectic groupoids can be constructed as reduced phase spaces of Poisson sigma models, including their generalization to infinite-dimensional settings prior to reduction.

Contribution

It provides a comprehensive overview of the construction process and extends the framework to infinite-dimensional cases.

Findings

Symplectic groupoids can be obtained as reduced phase spaces.

The generalization to infinite-dimensional settings is feasible.

The approach clarifies the relationship between Poisson sigma models and symplectic groupoids.

Abstract

This note gives an overview on the construction of symplectic groupoids as reduced phase spaces of Poisson sigma models and its generalization in the infinite dimensional setting (before reduction).