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Monad constructions of omalous bundles. (English) Zbl 1280.81109
Summary: We consider a particular class of holomorphic vector bundles relevant for supersymmetric string theory, called 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 \(\mathbb P^m \times \mathbb P^n\).

MSC:
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
14D21 Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
81T60 Supersymmetric field theories in quantum mechanics
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