Vertical D4–D2–D0 Bound States on K3 Fibrations and Modularity
Bouchard V, Creutzig T, Diaconescu DE, Doran C, Quigley C, Sheshmani A (2017)
Publication Type: Journal article
Publication year: 2017
Journal
Book Volume: 350
Pages Range: 1069-1121
Journal Issue: 3
DOI: 10.1007/s00220-016-2772-y
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 exhibit some of the features of a generalized Hecke transform.
Involved external institutions
University of Alberta
Canada (CA)
Rutgers, The State University of New Jersey
United States (USA) (US)
Aarhus University
Denmark (DK)
Canada (CA)
Rutgers, The State University of New Jersey
United States (USA) (US)
Aarhus University
Denmark (DK)
How to cite
APA:
Bouchard, V., Creutzig, T., Diaconescu, D.E., Doran, C., Quigley, C., & Sheshmani, A. (2017). Vertical D4–D2–D0 Bound States on K3 Fibrations and Modularity. Communications in Mathematical Physics, 350(3), 1069-1121. https://doi.org/10.1007/s00220-016-2772-y
MLA:
Bouchard, Vincent, et al. "Vertical D4–D2–D0 Bound States on K3 Fibrations and Modularity." Communications in Mathematical Physics 350.3 (2017): 1069-1121.
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