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

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

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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Communications in mathematical physics 2017-03, Vol.350 (3), p.1069-1121
Hauptverfasser: Bouchard, Vincent, Creutzig, Thomas, Diaconescu, Duiliu-Emanuel, Doran, Charles, Quigley, Callum, Sheshmani, Artan
Format: Artikel
Sprache:eng
Schlagworte:
Classical and Quantum Gravitation
Complex Systems
Mathematical and Computational Physics
Mathematical Physics
Modular construction
Modularity
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
String theory
Theoretical
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-016-2772-y