The partition function of the linear Poisson-sigma model on arbitrary surfaces

2001/12/11 by Allen C. Hirshfeld, Hirshfeld, Allen C., Thomas Schwarzweller +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0112086

14 pages (AmsTex)

arxiv created 2001/12/11 · openalex publication_date 2001/12/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We perform the calculation of the partition function of the Poisson-sigma model on the world sheet with the topology of a two-dimensional disc. Considering the special case of a linear Poisson structure we recover the partition function of the Yang-Mills theory. Using a glueing procedure we are able to calculate the partition function for arbitrary base manifolds.

Cited by

• Poisson Sigma Model on the Sphere

Related

• Poisson-Sigma Models
• Poisson-Sigma-Models: A Generalization of 2-D Gravity Yang-Mills-Systems
• The Poisson-Sigma Model - A Nonlinear Gauge Theory
• Poisson sigma models on surfaces with boundary: classical and quantum aspects
• Poisson Brackets of Partitions of Unity on Surfaces