Semantic Scholar Open Access 2010 12 sitasi

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

B. Andreas G. Curio

Lihat Sumber DOI

Abstrak

Abstract 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 ∈ H 4 ( X , Z ) exist which are of this form and for each of them a stable S U ( n ) vector bundle with c = c 2 ( V ) exists.

Topik & Kata Kunci

Mathematics Physics

Penulis (2)

B. Andreas

G. Curio

Format Sitasi

APA MLA BibTeX

Andreas, B., Curio, G. (2010). On possible Chern classes of stable bundles on Calabi–Yau threefolds. https://doi.org/10.1016/j.geomphys.2011.03.001

Akses Cepat

Lihat di Sumber doi.org/10.1016/j.geomphys.2011.03.001

Informasi Jurnal

Tahun Terbit: 2010
Bahasa: en
Total Sitasi: 12×
Sumber Database: Semantic Scholar
DOI: 10.1016/j.geomphys.2011.03.001
Akses: Open Access ✓