A Brief Introduction to Poisson Sigma-Models

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, LaTex. Based on two talks delivered in Schladming, March 1995

Scientific paper

The theory of Poisson-$\sigma$-models employs the mathematical notion of Poisson manifolds to formulate and analyze a large class of topological and almost topological two dimensional field theories. As special examples this class of field theories includes pure Yang-Mills and gravity theories, and, to some extent, the G/G gauged WZW-model. The aim of this contribution is to give a pedagogical introduction, explaining many aspects of the general theory by illustrative examples.

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