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

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

doi:10.1007/s00220-016-2772-y

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 journal › Article › peer-review

7 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1069-1121
Number of pages	53
Journal	Communications in Mathematical Physics
Volume	350
Issue number	3
DOIs	https://doi.org/10.1007/s00220-016-2772-y
State	Published - Mar 1 2017
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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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.",

author = "Vincent Bouchard and Thomas Creutzig and Diaconescu, {Duiliu Emanuel} and Charles Doran and Callum Quigley and Artan Sheshmani",

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AU - Bouchard, Vincent

AU - Creutzig, Thomas

AU - Diaconescu, Duiliu Emanuel

AU - Doran, Charles

AU - Quigley, Callum

AU - Sheshmani, Artan

PY - 2017/3/1

Y1 - 2017/3/1

N2 - 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.

AB - 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.

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

Abstract

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