Semantic Scholar Open Access 2010 10 sitasi

Spectral bundles and the DRY-Conjecture

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 start from a phenomenologically motivated choice of a bundle V v 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 v ) 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.

Topik & Kata Kunci

Mathematics Physics

Penulis (2)

B. Andreas

G. Curio

Format Sitasi

APA MLA BibTeX

Andreas, B., Curio, G. (2010). Spectral bundles and the DRY-Conjecture. https://doi.org/10.1016/j.geomphys.2011.12.012

Akses Cepat

Lihat di Sumber doi.org/10.1016/j.geomphys.2011.12.012

Informasi Jurnal

Tahun Terbit: 2010
Bahasa: en
Total Sitasi: 10×
Sumber Database: Semantic Scholar
DOI: 10.1016/j.geomphys.2011.12.012
Akses: Open Access ✓