Published November 1993
| Version v1
Journal article
Quantum algebra structure of certain Jackson integrals
Description
The q-difference system satisfied by Jackson integrals with a configuration of A-type root system is studied. We explicitly construct some linear combination of Jackson integrals, which satisfies the quantum Knizhnik-Zamolodchikov equation for the 2-point correlation function of q-vertex operators, introduced by Frenkel and Reshetik hin, for the quantum affine algebra Uq(sl2). The expression of integrands for the n-point case is conjectured, and a set of linear relations for the corresponding Jackson integrals is proved. (orig.)
Additional details
Publishing Information
- Journal Title
- Communications in Mathematical Physics
- Journal Volume
- 157
- Journal Issue
- 3
- Journal Page Range
- p. 479-498.
- ISSN
- 0010-3616
- CODEN
- CMPHAY
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 25004094
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- CASIMIR OPERATORS; COMMUTATION RELATIONS; CORRELATION FUNCTIONS; FIELD ALGEBRA; FIELD OPERATORS; INTEGRALS; QUANTUM MECHANICS; R MATRIX; SL GROUPS; U GROUPS; VERTEX FUNCTIONS
- Descriptors DEC
- FUNCTIONS; LIE GROUPS; MATHEMATICAL OPERATORS; MATRICES; MECHANICS; QUANTUM OPERATORS; SYMMETRY GROUPS