|
|||||
|
|
Modular Constraints on Calabi-Yau Compactifications |
|
| Authors: | Christoph A. Keller Hirosi Ooguri |
| Affiliation: | 1. California Institute of Technology, Pasadena, CA, 91125, USA 3. NHETC and Department of Physics and Astronomy, Rutgers University, Piscataway, NJ, 08855-0849, USA 2. Kavli IPMU (WPI), University of Tokyo, Kashiwa, 277-8583, Japan |
| Abstract: | We derive global constraints on the non-BPS sector of supersymmetric 2d sigma-models whose target space is a Calabi-Yau manifold. When the total Hodge number of the Calabi-Yau threefold is sufficiently large, we show that there must be non-BPS primary states whose total conformal weights are less than 0.656. Moreover, the number of such primary states grows at least linearly in the total Hodge number. We discuss implications of these results for Calabi-Yau geometry. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |