Identities for hypergeometric integrals of different dimensions
| dc.creator | Tarasov, V. | |
| dc.creator | Varchenko, A. | |
| dc.date | 2003-05-15 | |
| dc.date | 2004-01-19 | |
| dc.date.accessioned | 2026-07-07T04:58:03Z | |
| dc.date.available | 2026-07-07T04:58:03Z | |
| dc.description | Given complex numbers $m_1,l_1$ and positive integers $m_2,l_2$, such that $m_1+m_2=l_1+l_2$, we define $l_2$-dimensional hypergeometric integrals $I_{a,b}(z;m_1,m_2,l_1,l_2)$, $a,b=0,...,\min(m_2,l_2)$, depending on a complex parameter $z$. We show that $I_{a,b}(z;m_1,m_2,l_1,l_2)=I_{a,b}(z;l_1,l_2,m_1,m_2)$, thus establishing an equality of $l_2$ and $m_2$-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 $(gl_k,gl_n)$ duality for the KZ and dynamical differential equations. | |
| dc.description | Preprint (2003), 9 pages, AmsLaTeX, misprints corrected | |
| dc.identifier | https://arxiv.org/abs/math/0305224 | |
| dc.identifier | http://arxiv.org/abs/math/0305224 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67480 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Mathematical Physics | |
| dc.subject | Representation Theory | |
| dc.title | Identities for hypergeometric integrals of different dimensions | |
| dc.type | text |