Identities for Hypergeometric Integrals of Different Dimensions
Public Deposited- Creator
-
Tarasov, V.
- Other Affiliation: St. Petersburg Branch of Steklov Mathematical Institute
-
Varchenko, A.
- College of Arts and Sciences, Department of Mathematics
-
Tarasov, V.
- Abstract
- Given complex numbers m1 , l1 and nonnegative integers m2, l2 , such that m1+m2 = l1+l2 , we define ˆ l2 -dimensional hypergeometric integrals Ia,b(z;m1,m2, l1, l2) , a, b = 0, . . . ,min(m2 , l2) , depending on a complex parameter z . We show that Ia,b(z;m1, m2, l1, l2) = Ia,b(z; l1, l2,m1,m2) , thus establishing an equality of l2 and ˆm2 -dimensional integrals. This identity allows us to study asymptotics of the integrals with respect to their dimension in some examples. The identity is based on the (glk , gln) duality for the KZ and dynamical differential equations.
- Date of publication
- 2005
- DOI
- Identifier
- https://dx.doi.org/10.1007/s11005-004-6364-y
- Onescience ID: a47bc0b2f7117bf1c533a321c2da261475f5e3cd
- Resource type
- Article
- Rights statement
- In Copyright
- Journal title
- Letters in Mathematical Physics
- Journal volume
- 71
- Journal issue
- 2
- Page start
- 89
- Page end
- 99
- Language
- English
- Version
- Preprint
Relations
- Parents:
This work has no parents.
Items
| Thumbnail | Title | Date Uploaded | Visibility | Actions |
|---|---|---|---|---|
|
|
0305224.pdf | 2021-08-27 | Public | Download |