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This is motivated by the answers to this question http://mathoverflow.net/questions/36183/linear-non-linear-sigma-model .The answers particularly by José Figueroa-O'Farrill generated a new interest in me about supersymmetric sigma models. These sigma models relate to Complex algebraic geometric in a beautiful way. I am working on some aspects of Mirror Symmetry and have already seen some of such connections.

This post is an invitation to discuss mathematics inspired by supersymmetric sigma models in QFT/String Theory. The precise questions I am interested in are :

  1. How do we construct the $\sigma$-models, the terms in it. What is the mathematics behind this construction.

  2. What is the relation of the the supersymmetric $\sigma$-models to Ricci flow (Jose mentioned this in other post). I am looking for some elaboration.

  3. What is the current research on $\sigma$-models centred at.

Please provide some references from where one can learn the basics of these theories,preferably mathematical.

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 You have not asked a question. Please read the "how to ask" page. There is a link at the top of this web site. – S. Carnahan♦ Nov 1 2010 at 7:17
I think this question is too broad, and I have voted to close as "not a real question" (is there a better one to pick for questions that are too broad?). I recommend that you revise it to pick out a particular, focused question that you are interested in. If the question is closed but you revise it, then you should flag the question for moderator attention, to alert the moderators that you have revised it and ask that it be reopened. – Theo Johnson-Freyd Nov 1 2010 at 18:03
@ Scott I am sorry for that, actually I posted this in a hurry. Now I've made the corrections. – J Verma Nov 1 2010 at 20:25
@ Theo Thanks for your suggestion, I've tried to make some corrections. – J Verma Nov 1 2010 at 20:26
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 @ J. Verma: The mathematics and physics of sigma models is a large and complicated field of research; you won't learn much by asking broad question on MathOverflow. You're actually going to have to do some work. People have answered your previous question with several good references. You should go read those references; the answers to your questions are in them. (The CMI Mirror Symmetry book -- math.stanford.edu/~vakil/files/mirrorfinal.pdf -- may be a good place to start.) – userN Nov 1 2010 at 23:07
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closed as not a real question by Theo Johnson-Freyd, S. Carnahan♦ Nov 2 2010 at 3:27

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