# Are there non-supersymmetric and/or non-Calabi-Yau topological sigma models?

I am reading some aspects of Mirror Symmetry and in mirror symmetry the $N=2$ SCFT on a Calabi Yau Manifold can be divided into two sectors each of which is a topological sigma model, A-Model and B-Model. After some research through some literature about the topological models, it seems that the topological models are constructed only on supersymmetric theory.

Are there any non -Supersymmetric topological sigma models?

Are there some topological models where the target space is not a Calabi-Yau manifold (or in general a Kahler manifold)?

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I have made two small edits, both to aid other readers. First, I have changed two periods into question marks &mdash; this post does include two questions, but a "question mark" really does mark a sentence as a question for people skimming. Second, I have modified the title to encapsulate the thrust of the question, and set it in the form of a question. – Theo Johnson-Freyd Nov 1 '10 at 18:07
@Theo Thanks for your edits. – J Verma Nov 1 '10 at 20:28

@ Moduli thanks for the answer..actually I am reading the Witten's topological twisting paper where he constructs A and B-models from a $N=2$ SCFT on a Kahler manifold, and the topological nature of A-model depends on the Kahler class on the target manifold. Can you suggest some references to look at A and B-models in generality. – J Verma Nov 13 '10 at 18:56
@ Moduli ya you are right, I am reading the same paper you mentioned. I am under the impression (correct if I am wrong), that you need Kahler target manifold for $N=2$ Supersymmetry. And the other paper you mentioned is "Topological Sigma model", I always look through this paper on my laptop, But never read it. Do you suggest reading it, for the better understanding of the paper I am reading. I was just wondering,if there is some better,easy to read, review of sigma models in general and topological models in particular. Thanks – J Verma Nov 14 '10 at 1:41