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arXiv · 1601.04030

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

Vincent Bouchard·Thomas Creutzig·Duiliu-Emanuel Diaconescu·Charles Doran·Callum Quigley·Artan Sheshmani
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Abstract

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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Vincent Bouchard, Thomas Creutzig, Duiliu-Emanuel Diaconescu, Charles Doran, Callum Quigley, Artan Sheshmani. 2016-09-15. Vertical D4-D2-D0 bound states on K3 fibrations and modularity. https://doi.org/10.1007/s00220-016-2772-y

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