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

Allen C. Hirshfeld·Thomas Schwarzweller
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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.

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Allen C. Hirshfeld, Thomas Schwarzweller. 2001-12-11. The partition function of the linear Poisson-sigma model on arbitrary surfaces. https://arxiv.org/abs/hep-th/0112086

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