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

Vincent Bouchard, Thomas Creutzig, Duiliu Emanuel Diaconescu, Charles Doran, Callum Quigley, Artan Sheshmani

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)1069-1121
Number of pages53
JournalCommunications in Mathematical Physics
Issue number3
StatePublished - Mar 1 2017
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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