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Vertical D4-D2-D0 bound states on K3 fibrations and modularity

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arxiv 1601.04030 v2 pith:MHWDCFCS submitted 2016-01-15 hep-th math.AG

Vincent Bouchard , Thomas Creutzig , Duiliu-Emanuel Diaconescu , Charles Doran , Callum Quigley , Artan Sheshmani This is my paper · ORCID
classification hep-thmath.AG
keywords boundd4-d2-d0formulamodularitystatesverticalcalabi-yauconstruction
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An explicit formula is derived for the generating function of vertical D4-D2-D0 bound states on smooth K3 fibered Calabi-Yau threefolds, generalizing previous results of Gholampour and Sheshmani. It is also shown that this formula satisfies strong modularity properties, as predicted by string theory. This leads to a new construction of vector valued modular forms which exhibits some of the features of a generalized Hecke transform.

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Cited by 2 Pith papers

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  1. Revisiting the Quantum Geometry of Torus-fibered Calabi-Yau Threefolds

    hep-th 2025-10 conditional novelty 7.0 of 10

    The conjectured Jacobi modularity of topological string amplitudes on torus-fibered Calabi-Yau threefolds is derived conditionally from the wave-function property under the relative conifold monodromy, which also maps...

  2. Mock modularity of Calabi-Yau threefolds

    hep-th 2024-11 conditional novelty 6.0 of 10

    The paper constructs explicit indefinite theta series solving the modular anomaly for rank 0 DT invariants, fixing these generating functions up to modular forms determined by polar terms.

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