On possible Chern classes of stable bundles on Calabi-Yau threefolds

JOURNAL OF GEOMETRY AND PHYSICS

卷:61

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: Moduli spaces;    Calabi-Yau threefolds;    Stable bundles;    Heterotic string theory;    Anomaly cancellation;   

DOI  :  10.1016/j.geomphys.2011.03.001

来源: Elsevier

【 摘 要 】

Supersymmetric heterotic string models, built from a Calabi-Yau threefold X endowed with a stable vector bundle V. usually lead to an anomaly mismatch between c(2)(V) and c(2)(X); this leads to the question whether the difference can be realized by a further bundle in the hidden sector. In [M.R. Douglas, R. Reinbacher, S.-T. Yau, Branes, Bundles and Attractors: Bogomolov and Beyond, math.AG/0604597], a conjecture is stated which gives sufficient conditions on cohomology classes on x to be realized as the Chern classes of a stable reflexive sheaf V; a weak version of this conjecture predicts the existence of such a V if c(2)(V) is of a certain form. In this note, we prove that on elliptically fibered X infinitely many cohomology classes c is an element of H-4 (X, Z) exist which are of this form and for each of them a stable SUN vector bundle with c = c(2)(V) exists. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free