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Vertical D4-D2-D0 bound states on K3 fibrations and modularity (1601.04030v2)
Published 15 Jan 2016 in hep-th and math.AG
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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