Chern–Simons theory | Wikipedia audio article
Channel: wikipedia tts
Date: 28/12/2018

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Chern%E2%80%93Simons_theory


00:01:10 1 The classical theory
00:01:19 1.1 Mathematical origin
00:05:28 1.2 Configurations
00:06:51 1.3 Dynamics
00:09:57 2 Quantization
00:11:36 3 Observables
00:11:45 3.1 Wilson loops
00:13:34 3.2 HOMFLY and Jones polynomials
00:17:42 4 Relationships with other theories
00:17:52 4.1 Topological string theories
00:18:34 4.2 WZW and matrix models
00:19:18 4.3 Chern–Simons, the Kodama wavefunction and loop quantum gravity
00:19:46 4.4 Chern–Simons gravity theory
00:22:40 4.5 Chern–Simons matter theories
00:23:31 5 Chern–Simons terms in other theories
00:24:19 5.1 One-loop renormalization of the level
00:25:02 6 See also



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SUMMARY
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The Chern–Simons theory, named after Shiing-Shen Chern and James Harris Simons, is a 3-dimensional topological quantum field theory of Schwarz type, developed by Edward Witten. It is so named because its action is proportional to the integral of the Chern–Simons 3-form.
In condensed-matter physics, Chern–Simons theory describes the topological order
in fractional quantum Hall effect states. In mathematics, it has been used to calculate knot invariants and three-manifold invariants such as the Jones polynomial.
Particularly, Chern–Simons theory is specified by a choice of simple Lie group G known as the gauge group of the theory and also a number referred to as the level of the theory, which is a constant that multiplies the action. The action is gauge dependent, however the partition function of the quantum theory is well-defined when the level is an integer and the gauge field strength vanishes on all boundaries of the 3-dimensional spacetime.