Necessary conditions on Calabi-Yau manifolds for large volume vacua

Gray, J., He, Y., Jejjala, V., Jurke, B., Nelson, B. D. & Simon, J. (2012). Necessary conditions on Calabi-Yau manifolds for large volume vacua. Physical Review D, 86(10), 101901(R). doi: 10.1103/PhysRevD.86.101901

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We describe an efficient, construction independent, algorithmic test to determine whether Calabi-Yau threefolds admit a structure compatible with the large volume moduli stabilization scenario of type IIB superstring theory. Using the algorithm, we scan complete intersection and toric hypersurface Calabi-Yau threefolds with 2≤h1,1≤4 and deduce that 418 among 4434 manifolds have a large volume limit with a single large four-cycle. We describe major extensions to this survey, which are currently underway.

Item Type: Article
Additional Information: Copyright American Physical Society 2012
Subjects: Q Science > QA Mathematics
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science

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