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Schwarz Type Topological Quantum Field Theories

R. K. Kaul·T. R. Govindarajan·P. Ramadevi
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Abstract

Topological quantum field theories can be used to probe topological properties of low dimensional manifolds. A class of these theories known as Schwarz type theories, comprise of Chern-Simons theories and BF theories. In three dimensions both capture the properties of knots and links leading to invariants characterising them. These can also be used to construct three-manifold invariants. Three dimensional gravity is described by these field theories. BF theories exist also in higher dimensions. In four dimensions, these describe two-dimensional generalization of knots as well as Donaldson invariants.

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R. K. Kaul, T. R. Govindarajan, P. Ramadevi. 2005-05-09. Schwarz Type Topological Quantum Field Theories. https://arxiv.org/abs/hep-th/0504100

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