Lectures in Topological Quantum Field Theory

J. M. F. Labastida; Carlos Lozano

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arXiv · hep-th/9709192

Lectures in Topological Quantum Field Theory

J. M. F. Labastida·Carlos Lozano

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Abstract

In these lectures we present a general introduction to topological quantum field theories. These theories are discussed in the framework of the Mathai-Quillen formalism and in the context of twisted N=2 supersymmetric theories. We discuss in detail the recent developments in Donaldson-Witten theory obtained from the application of results based on duality for N=2 supersymmetric Yang-Mills theories. This involves a description of the computation of Donaldson invariants in terms of Seiberg-Witten invariants. Generalizations of Donaldson-Witten theory are reviewed, and the structure of the vacuum expectation values of their observables is analyzed in the context of duality for the simplest case.

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J. M. F. Labastida, Carlos Lozano. 1997-09-26. Lectures in Topological Quantum Field Theory. https://arxiv.org/abs/hep-th/9709192

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