Semantic Scholar Open Access 2002 9 sitasi

NC Calabi–Yau manifolds in toric varieties with NC torus fibration

M. Bennai E. Saidi

Lihat Sumber DOI

Abstrak

Abstract Using the algebraic geometry method of Berenstein and Leigh (BL) (hep-th/0009209 and hep-th/0105229), and considering singular toric varieties V d+1 with NC irrational torus fibration, we construct NC extensions M d nc of complex d dimension Calabi–Yau (CY) manifolds embedded in V d+1 nc . We give realizations of the NC C ∗r toric group, derive the constraint equations for NC Calabi–Yau (NCCY) manifolds M nc d embedded in V d+1 nc and work out solutions for their generators. We study fractional D branes at singularities and show that, due to the complete reducibility property of C ∗r group representations, there is an infinite number of noncompact fractional branes at fixed points of the NC toric group.

Topik & Kata Kunci

Physics

Penulis (2)

M. Bennai

E. Saidi

Format Sitasi

APA MLA BibTeX

Bennai, M., Saidi, E. (2002). NC Calabi–Yau manifolds in toric varieties with NC torus fibration. https://doi.org/10.1016/S0370-2693(02)02962-3

Akses Cepat

Lihat di Sumber doi.org/10.1016/S0370-2693(02)02962-3

Informasi Jurnal

Tahun Terbit: 2002
Bahasa: en
Total Sitasi: 9×
Sumber Database: Semantic Scholar
DOI: 10.1016/S0370-2693(02)02962-3
Akses: Open Access ✓