Heterotic Models from Vector Bundles on Toric Calabi-Yau Manifolds Export

@article{citeulike:6074717, abstract = {We systematically approach the construction of heterotic E\_8 X E\_8 Calabi-Yau models, based on compact Calabi-Yau three-folds arising from toric geometry and vector bundles on these manifolds. We focus on a simple class of 101 such three-folds with smooth ambient spaces, on which we perform an exhaustive scan and find all positive monad bundles with SU(N), N=3,4,5 structure groups, subject to the heterotic anomaly cancellation constraint. We find that anomaly-free positive monads exist on only 11 of these toric three-folds with a total number of bundles of about 2000. Only 21 of these models, all of them on three-folds realizable as hypersurfaces in products of projective spaces, allow for three families of quarks and leptons. We also perform a preliminary scan over the much larger class of semi-positive monads which leads to about 44000 bundles with 280 of them satisfying the three-family constraint. These 280 models provide a starting point for heterotic model building based on toric three-folds.}, archivePrefix = {arXiv}, author = {He, Yang-Hui and Lee, Seung-Joo and Lukas, Andre}, citeulike-article-id = {6074717}, citeulike-linkout-0 = {http://arxiv.org/abs/0911.0865}, citeulike-linkout-1 = {http://arxiv.org/pdf/0911.0865}, day = {4}, eprint = {0911.0865}, month = {Nov}, posted-at = {2009-11-05 15:21:52}, priority = {2}, title = {Heterotic Models from Vector Bundles on Toric Calabi-Yau Manifolds}, url = {http://arxiv.org/abs/0911.0865}, year = {2009} }

TY - JOUR ID - citeulike:6074717 L3 - citeulike-article-id:6074717 N2 - We systematically approach the construction of heterotic E_8 X E_8 Calabi-Yau models, based on compact Calabi-Yau three-folds arising from toric geometry and vector bundles on these manifolds. We focus on a simple class of 101 such three-folds with smooth ambient spaces, on which we perform an exhaustive scan and find all positive monad bundles with SU(N), N=3,4,5 structure groups, subject to the heterotic anomaly cancellation constraint. We find that anomaly-free positive monads exist on only 11 of these toric three-folds with a total number of bundles of about 2000. Only 21 of these models, all of them on three-folds realizable as hypersurfaces in products of projective spaces, allow for three families of quarks and leptons. We also perform a preliminary scan over the much larger class of semi-positive monads which leads to about 44000 bundles with 280 of them satisfying the three-family constraint. These 280 models provide a starting point for heterotic model building based on toric three-folds. TI - Heterotic Models from Vector Bundles on Toric Calabi-Yau Manifolds AU - He, Yang-Hui AU - Lee, Seung-Joo AU - Lukas, Andre PY - 2009/Nov/04/ UR - http://arxiv.org/abs/0911.0865 ER -