Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-03-08
Lett.Math.Phys.92:269-297,2010
Physics
High Energy Physics
High Energy Physics - Theory
27 pages, 1 figure
Scientific paper
10.1007/s11005-010-0387-3
We use the representation theory of N=2 superconformal algebra to study the elliptic genera of Calabi-Yau (CY) D-folds. We compute the entropy of CY manifolds from the growth rate of multiplicities of the massive (non-BPS) representations in the decomposition of their elliptic genera. We find that the entropy of CY manifolds of complex dimension D behaves differently depending on whether D is even or odd. When D is odd, CY entropy coincides with the entropy of the corresponding hyperKahler (D-3)-folds due to a structural theorem on Jacobi forms. In particular, we find that the Calabi-Yau 3-fold has a vanishing entropy. At D>3, using our previous results on hyperKahler manifolds, we find $S_{CY_D} \sim 2\pi \sqrt{{(D-3)^2\over 2(D-1)}n}$. When D is even, we find the behavior of CY entropy behaving as $S_{CY_D}\sim 2 \pi\sqrt{{D-1\over 2}n}$. These agree with Cardy's formula at large D.
Eguchi Tohru
Hikami Kazuhiro
No associations
LandOfFree
N=2 Superconformal Algebra and the Entropy of Calabi-Yau Manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with N=2 Superconformal Algebra and the Entropy of Calabi-Yau Manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and N=2 Superconformal Algebra and the Entropy of Calabi-Yau Manifolds will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-676650