Spectral bundles and the DRY-Conjecture

JOURNAL OF GEOMETRY AND PHYSICS

卷:62

Article

Andreas, Bjoern¹  Curio, Gottfried² 

[1] Humboldt Univ, Inst Math, D-12489 Berlin, Germany

[2] Univ Munich, Arnold Sommerfeld Ctr Theoret Phys, Dept Phys, D-80333 Munich, Germany

关键词: Stable vector bundles;    Calabi-Yau threefolds;    Heterotic string theory;   

DOI  :  10.1016/j.geomphys.2011.12.012

来源: Elsevier

【 摘 要 】

Supersymmetric heterotic string models, built from a Calabi-Yau threefold X endowed with a stable vector bundle V. usually start from a phenomenologically motivated choice of a bundle V-upsilon in the visible sector, the spectral cover construction on an elliptically fibered X being a prominent example. The ensuing anomaly mismatch between c(2)(V-upsilon) and c(2)(X), or rather the corresponding differential forms, is often 'solved', on the cohomological level, by including a fivebrane. This leads to the question whether the difference can be alternatively realized by a further stable bundle. The 'DRY-conjecture of Douglas. Reinbacher and Yau in math.AG/0604597 gives a sufficient condition on cohomology classes on X to be realized as the Chern classes of a stable sheaf. In 1010.1644 [hep-th], we showed that infinitely many classes on X exist for which the conjecture is true. In this note, we give the sufficient condition for the mentioned fivebrane classes to be realized by a further stable bundle in the hidden sector. Using a result obtained in 1011.6246 [hep-th], we show that corresponding bundles exist, thereby confirming this version of the DRY-Conjecture. (C) 2012 Elsevier B.V. All rights reserved.

【 授权许可】

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