Schwarz Type Topological Quantum Field Theories

Details Schwarz Type Topological Quantum Field Theories Schwarz Type Topological Quantum Field Theories

2005-04-12

arxiv.org/abs/hep-th/0504100v3

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, Prepared for Encyclopedia of Mathematical Physics, paragraph added minor corrections and few references added

Scientific paper

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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