Monad constructions of omalous bundles

Abstract

We consider a particular class of holomorphic vector bundles relevant for supersymmetric string theory, called \emph{omalous}, over nonsingular projective varieties. We use monads to construct examples of such bundles over 3-fold hypersurfaces in ${\mathbb{P}}^4$, complete intersection Calabi-Yau manifolds in ${\mathbb{P}}^k$, blow-ups of ${\mathbb{P}}^2$ at $n$ distinct points, and products ${\mathbb{P}}^m\times {\mathbb{P}}^n$.

10 pages

References in corpus (2)

• Heterotic Compactification, An Algorithmic Approach
• Solutions of the Strominger System via Stable Bundles on Calabi-Yau Threefolds

Cited by in corpus (8)

• Lectures on the Strominger system
• Holomorphic string algebroids
• The heterotic ${\mathrm{G}}_2$ system on contact Calabi--Yau $7$-manifolds
• Quantum Sheaf Cohomology on surfaces of general type I: construction of stable omalous bundles
• Monads on projective varieties
• Prioritary omalous bundles on Hirzebruch surfaces
• Torsion free instanton sheaves on the blow-up of ${\mathbb{P}}^n$ at a point
• Torsion free instanton sheaves on the blow-up of ${\mathbb{P}}^3$ at a point