Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

why in homological mirror symmetry, we restrict us to a projective variety (calabi-yau)? Because in physics we don't need this condition. What's the general picture for general calabi-yau?

share|improve this question
2  
I think that this is much more likely to get answers if posted on mathoverflow. –  Matt E Oct 11 '10 at 4:29

1 Answer 1

Yau gives some quick explanation of this in his scholaropedia page for CY manifolds (which is really a great read if you're interested in such things). In particular, speaking about spacetime manifolds $\mathbb{R}^{3,1}\times X$ (with standard Minkowski metric on the first part), he says "for the most basic product models $N=1$ supersymmetry, the space $X$ must be a Calabi-Yau manifold of complex dimension $3$".

He references a 1985 paper of Candelas, Horowitz, Strominger and Witten.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.