Vertical D4–D2–D0 Bound States on K3 Fibrations and Modularity

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• 作者：Vincent Bouchard ; Thomas Creutzig…
• 刊名：Communications in Mathematical Physics
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：350
• 期：3
• 页码：1069-1121
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Theoretical, Mathematical and Computational Physics; Mathematical Physics; Quantum Physics; Complex Systems; Classical and Quantum Gravitation, Relativity Theory;
• 出版者：Springer Berlin Heidelberg
• ISSN：1432-0916
• 卷排序：350

文摘

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 exhibit some of the features of a generalized Hecke transform.