Quantum Barnes Function as the Partition Function of the Resolved Conifold
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-47, 47 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-03-19
Country of Publication
Egypt
No. of Pages
47
Main Subjects
Abstract EN
We give a short new proof of large N duality between the Chern-Simons invariants of the 3-sphere and the Gromov-Witten/Donaldson-Thomas invariants of the resolved conifold.
Our strategy applies to more general situations, and it is to interpret the Gromov-Witten, the Donaldson-Thomas, and the Chern-Simons invariants as different characterizations of the same holomorphic function.
For the resolved conifold, this function turns out to be the quantum Barnes function, a natural q-deformation of the classical one that in its turn generalizes the Euler gamma function.
Our reasoning is based on a new formula for this function that expresses it as a graded product of q-shifted multifactorials.
American Psychological Association (APA)
Koshkin, Sergiy. 2009. Quantum Barnes Function as the Partition Function of the Resolved Conifold. International Journal of Mathematics and Mathematical Sciences،Vol. 2008, no. 2008, pp.1-47.
https://search.emarefa.net/detail/BIM-472367
Modern Language Association (MLA)
Koshkin, Sergiy. Quantum Barnes Function as the Partition Function of the Resolved Conifold. International Journal of Mathematics and Mathematical Sciences No. 2008 (2008), pp.1-47.
https://search.emarefa.net/detail/BIM-472367
American Medical Association (AMA)
Koshkin, Sergiy. Quantum Barnes Function as the Partition Function of the Resolved Conifold. International Journal of Mathematics and Mathematical Sciences. 2009. Vol. 2008, no. 2008, pp.1-47.
https://search.emarefa.net/detail/BIM-472367
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472367