Topological Field Theories
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  • Release Date: 2023-02-06
  • physics
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In this lecture on The Topological Field Theories (TFTs), I will discuss the types of TFTs i.e. Schwarz type and Witten type, giving a Mathematical description of a topological field and theory with a physical example of Topological Field Theory. I will talk about the difference between Geometry and Topology, and how can one have situations that only care about the topology. To answer what does a topological field theory looks like we will consider Electromagnetic field. Discussing what role does a metric play here. We will certainly need some tools we developed in in the lecture on Differential forms. I will talk about Quantum mechanical theories and briefly on the “Renormalization” process, here we will see how one can make a theory purely topological. Finally, we will see what all of this looks like with an example of an electron in some perturbation, this is where we will first see what a Chern-Simons Theory looks like. At the end of the video we will realize how this Quantum mechanical calculation is effectively a calculation of topology.

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Abdulmajid, B. Topological Field Theories. Encyclopedia. Available online: (accessed on 19 April 2024).
Abdulmajid B. Topological Field Theories. Encyclopedia. Available at: Accessed April 19, 2024.
Abdulmajid, Basel. "Topological Field Theories" Encyclopedia, (accessed April 19, 2024).
Abdulmajid, B. (2023, February 06). Topological Field Theories. In Encyclopedia.
Abdulmajid, Basel. "Topological Field Theories." Encyclopedia. Web. 06 February, 2023.