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Topological quantum field theories

  1. Jul 15, 2003 #1
    Chern-Simons theory is a 3d-TQFT and Crane-Yetter model is a 4d-TQFT
    There exist another Topological Quantum Field Theory apart of these two models?
     
    Last edited: Jul 15, 2003
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  3. Jul 15, 2003 #2

    marcus

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    Meteor you would be doing me a favor if you could explain a little about Chern-Simons theory and perhaps give some web links---all at very introductory level if possible.
     
  4. Jul 16, 2003 #3
    Sorry, I'm not an expert on it, so what I'm going to say is probably known to you:
    Chern-Simons theory (a.k.a. Chern-Simons gauge theory) is a gauge theory. It's gauge invariant and Lorentz invariant
    One of the most important features of Chern-Simons theory is that is independent of the background metric that you choose for the spacetime
    In Chern-Simons theory, the field is a connection
    Ed Witten discovered in 1989 that exists some relationship between knot theory and Chern-Simons theory
    These two papers seem introductory:
    http://xxx.lanl.gov/abs/hep-th/9902115
    http://xxx.lanl.gov/abs/hep-th/9905057
    If this interest to someone, I've discovered that the Turaev-Viro model is another TQFT
     
    Last edited: Jul 16, 2003
  5. Jul 16, 2003 #4

    marcus

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