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Cohomology of Line Bundles: A Computational Algorithm
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We present an algorithm for computing line bundle valued cohomology classes over toric varieties. This is the basic starting point for computing massless modes in both heterotic and Type IIB/F-theory compactifications, where the manifolds of interest are complete intersections of hypersurfaces in toric varieties supporting additional vector bundles.
Forward citations
Cited by 5 Pith papers
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Exploring Line Bundle Standard Models with Transformers
A Transformer RL agent is trained to generate valid heterotic line bundle sums on CICYs that satisfy gauge embedding, anomaly cancellation, poly-stability, chirality, and no-exotics constraints.
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Hilbert Functions and Line Bundle Cohomology on CICY Threefolds
Hilbert functions of Koszul maps turn empirical chamber-wise polynomial formulae for line bundle cohomology on CICY threefolds into explicit analytic or finite-box certified statements.
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On Calabi-Yau Threefolds For Unified LVS Inflation
A database scan identifies 2+14+45 Calabi-Yau threefolds with specified fibration and divisor structures that unify three LVS Kähler moduli inflation models.
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Assisted Fibre Inflation in Perturbative LVS
Multi-field fibre inflation in perturbative LVS uses collective dynamics of several moduli to achieve viable cosmology with sub-Planckian individual field ranges given by total range divided by sqrt(n).
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Thermal effects and finite-temperature cosmology in perturbatively stabilized large volume scenarios
Examines thermal effects on moduli in perturbatively stabilized LVS, deriving T_max dependence on loop corrections and showing thermal metastability is sensitive to post-inflationary history while favoring high-scale ...
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