Topological Field Theories
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  • Release Date: 2023-02-06
  • physics
Video Introduction

The content is sourced from: https://www.youtube.com/@BasylDoesPhysics

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: https://encyclopedia.pub/video/video_detail/607 (accessed on 19 April 2024).
Abdulmajid B. Topological Field Theories. Encyclopedia. Available at: https://encyclopedia.pub/video/video_detail/607. Accessed April 19, 2024.
Abdulmajid, Basel. "Topological Field Theories" Encyclopedia, https://encyclopedia.pub/video/video_detail/607 (accessed April 19, 2024).
Abdulmajid, B. (2023, February 06). Topological Field Theories. In Encyclopedia. https://encyclopedia.pub/video/video_detail/607
Abdulmajid, Basel. "Topological Field Theories." Encyclopedia. Web. 06 February, 2023.