most recent 30 from http://mathoverflow.net 2013-05-19T14:45:47Z http://mathoverflow.net/feeds/question/44419 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/44419/supersymmetric-sigma-models J Verma 2010-11-01T05:38:51Z 2010-11-01T20:24:36Z

<p>This is motivated by the answers to this question <a href="http://mathoverflow.net/questions/36183/linear-non-linear-sigma-model" rel="nofollow">http://mathoverflow.net/questions/36183/linear-non-linear-sigma-model</a> .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. </p> <p>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 :</p> <ol> <li><p>How do we construct the $\sigma$-models, the terms in it. What is the mathematics behind this construction.</p></li> <li><p>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.</p></li> <li><p>What is the current research on $\sigma$-models centred at.</p></li> </ol> <p>Please provide some references from where one can learn the basics of these theories,preferably mathematical.</p>