Spectral Covers, Charged Matter and Bundle Cohomology

Abstract

We consider four dimensional heterotic compactifications on smooth elliptic Calabi-Yau threefolds. Using spectral cover techniques, we study bundle cohomology groups corresponding to charged matter multiplets. The analysis shows that in generic situations, the resulting charged matter spectrum is stable under deformations of the vector bundle.

17 pages, harvmac; minor changes

References in corpus (7)

• Vector Bundles And F Theory
• Vector Bundles over Elliptic Fibrations
• Moduli in N=1 heterotic/F-theory duality
• A Class of N=1 Dual String Pairs and its Modular Superpotential
• On Vector Bundles and Chiral Matter in N=1 Heterotic Compactifications
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Cited by in corpus (30)

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• A Standard Model from the E8 x E8 Heterotic Superstring
• F-theory fluxes, Chirality and Chern-Simons theories
• Flavor Structure in F-theory Compactifications
• Vector Bundle Moduli and Small Instanton Transitions
• Right-handed Neutrinos in F-theory Compactifications
• The Spectra of Heterotic Standard Model Vacua
• Yukawa Couplings in Heterotic Standard Models
• Moduli Dependent Spectra of Heterotic Compactifications
• Global SO(10) F-theory GUTs
• Gauge-Mediated Supersymmetry Breaking in String Compactifications
• The Vertical, the Horizontal and the Rest: anatomy of the middle cohomology of Calabi-Yau fourfolds and F-theory applications
• Higgs Doublets, Split Multiplets and Heterotic SU(3)_C x SU(2)_L x U(1)_Y Spectra
• Heterotic Non-Kahler Geometries via Polystable Bundles on Calabi-Yau Threefolds
• Stability of the Minimal Heterotic Standard Model Bundle
• GUT Relations from String Theory Compactifications
• Moduli Dependent mu-Terms in a Heterotic Standard Model
• Heterotic Standard Model Moduli
• Existence of Supersymmetric Hermitian Metrics with Torsion on Non-Kaehler Manifolds
• Distribution of the Number of Generations in Flux Compactifications
• Fourier Mukai Transforms and Applications to String Theory
• The theory of superstring with flux on non-Kahler manifolds and the complex Monge-Ampere equation
• Vector Bundle Extensions, Sheaf Cohomology, and the Heterotic Standard Model
• Vector-Like Pairs and Brill--Noether Theory
• A Note on Kahler Potential of Charged Matter in F-theory
• The Existence of Supersymmetric String Theory with Torsion
• Magic square and half-hypermultiplets in F-theory
• Combinatorics in N = 1 Heterotic Vacua